Method and device for analyzing number and size of bubbles in gas-liquid multiphase pump

Through high-speed photography system and image processing technology, the problem of low measurement accuracy of the number and size of bubbles in the gas-liquid mixing pump is solved, and efficient and accurate gas-liquid flow field characteristics are achieved, which significantly improves the efficiency and accuracy of data analysis. .

CN119251158APending Publication Date: 2025-01-03CHINA AGRI UNIV

Patent Information

Application Number
CN202411278794.8
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2024-09-12
Publication Date
2025-01-03

AI Technical Summary

Technical Problem

In the prior art, the measurement method of the number and size of the gas-liquid mixed pump has problems such as low accuracy, poor stability, low efficiency, large error and limited application scope, which limits the in-depth study of the gas-liquid flow field characteristics of the mixed pump and Accurate analysis.

Method used

The high-speed photography system is used to obtain the air-liquid flow field images in the pump. Through bubble marking, graying, denoising and binarization processing, combined with contour detection algorithm and pixel scale measurement technology, the bubble contour area and diameter are calculated, and the correction factor statistics are used. Number of bubbles under each diameter.

Benefits of technology

It significantly improves the accuracy and efficiency of measuring the number and size of the bubbles in the gas-liquid mixing pump, reduces manual measurement errors, provides high-precision gas-liquid flow field feature capture, provides an important basis for analysis, and saves time and cost.

✦ Generated by Eureka AI based on patent content.

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Patent Text Reader

Abstract

The invention provides a method and device for analyzing the number and size of bubbles in a gas-liquid multiphase pump, and relates to the technical field of hydraulic machinery, the method and device are applied to a system for measuring the number and size of bubbles in the gas-liquid multiphase pump, the measuring system comprises a high-speed photographing system, and the method comprises the following steps: acquiring a gas-liquid flow field image in the pump based on the high-speed photographing system; determining a plurality of target gas-liquid flow field images, and preprocessing the plurality of target gas-liquid flow field images; determining the boundary of each bubble in a plurality of bubbles based on the preprocessed target gas-liquid flow field image to obtain a detection result of a bubble contour, and performing calculation based on the detection result of the bubble contour to obtain a bubble contour pixel area of each bubble in the plurality of bubbles; and calculating the diameter of each bubble based on the bubble contour pixel area of each bubble in the plurality of bubbles, and determining the number of bubbles under each diameter. Through the method provided by the invention, the efficiency and accuracy of data analysis are improved.
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Description

Technical Field

[0001] The invention relates to the technical field of hydraulic machinery, and in particular to a method and a device for analyzing the number and size of bubbles in a gas-liquid mixed transmission pump. Background Art

[0002] Mixed flow pumps are key equipment in the process of mixed gas and liquid flow, and the main types include volumetric and vane types. Compared with the volumetric type, the vane type mixed flow pump has the advantages of simple structure, low cost, high efficiency, and insensitivity to sand. However, due to the high-speed rotation of the impeller, the gas-liquid flow in the vane type mixed flow pump is very complex. A large number of public documents point out that the number and size of bubbles in the complex gas-liquid flow field in the pump have a great influence on the performance of the mixed flow pump, especially with the increase of the inlet gas content, complex flow patterns such as bubble flow, bubbly flow and condensed bubbly flow will appear in the pump, resulting in significant deterioration of the pump performance and unstable operation.

[0003] At present, the measurement and analysis methods for the number and size of bubbles in mixed flow vane pumps mainly rely on visualization experiments, which manually identify the number of bubbles by building a measurement system to capture the flow field image in the pump, and approximately measure the bubble size by setting a stainless steel ruler on the outside of the pump casing. However, this method has problems such as low measurement system accuracy, poor stability, low analysis method efficiency, large errors, and limited scope of application, which seriously restricts the in-depth study and precise analysis of the gas-liquid flow field characteristics of mixed flow pumps.

[0004] How to improve the measurement accuracy and analysis efficiency of the number and size of bubbles in a gas-liquid mixed transfer pump is a technical problem that needs to be solved at present. Summary of the invention

[0005] The invention provides a method and a device for analyzing the number and size of bubbles in a gas-liquid mixed delivery pump, so as to solve the defects in the prior art.

[0006] The present invention provides a method for analyzing the number and size of bubbles in a gas-liquid mixed delivery pump, which is applied to a system for measuring the number and size of bubbles in a gas-liquid mixed delivery pump. The system comprises a high-speed photography system, which is used to obtain an image of the gas-liquid flow field in the pump. The steps include: Based on the gas-liquid flow field image in the pump acquired by the high-speed photography system, a plurality of target gas-liquid flow field images are determined, and the plurality of target gas-liquid flow field images are preprocessed; wherein the target gas-liquid flow field images are gas-liquid flow field images taken continuously after the flow in the pump is stabilized, and each of the target gas-liquid flow field images contains a plurality of bubbles; the preprocessing includes: bubble marking, graying, denoising and binarization processing; Determine the boundary of each bubble among the plurality of bubbles based on the preprocessed target gas-liquid flow field image to obtain a detection result of the bubble contour, and perform calculation based on the detection result of the bubble contour to obtain a bubble contour pixel area of ​​each bubble among the plurality of bubbles; The diameter of each bubble in the plurality of bubbles is calculated based on the bubble outline pixel area of ​​each bubble, and the number of bubbles at each diameter is determined.

[0007] According to a method for analyzing the number and size of bubbles in a gas-liquid mixed delivery pump provided by the present invention, the step of determining the boundary of each bubble in the plurality of bubbles to obtain a detection result of the bubble contour, and performing calculation based on the detection result of the bubble contour to obtain a bubble contour pixel area of ​​each bubble in the plurality of bubbles comprises: Determine and draw the boundary of each bubble in the plurality of bubbles by using a contour detection algorithm to obtain a detection result of the bubble contour; Based on the pixel-based scale measurement technology, the outline of each bubble in the plurality of bubbles is traversed and calculated to obtain the bubble outline pixel area of ​​each bubble in the plurality of bubbles.

[0008] According to a method for analyzing the number and size of bubbles in a gas-liquid mixed delivery pump provided by the present invention, the diameter of each bubble is calculated based on the bubble contour pixel area of ​​each bubble among the multiple bubbles, and the number of bubbles under each diameter is determined, including: The maximum bubble diameter is calculated based on the axial length of the impeller of the mixed pump, the axial length of the impeller of the target gas-liquid flow field image, and the maximum bubble pixel diameter; wherein the maximum bubble pixel diameter is obtained by obtaining the minimum circumscribed circle of the bubble contour and calculating the maximum value of the minimum circumscribed circle diameter; Based on the maximum bubble diameter, a predetermined bubble diameter correction factor, a maximum bubble pixel area, and bubble pixel areas of bubbles corresponding to diameters other than the maximum bubble diameter, the bubble diameter other than the maximum bubble diameter is calculated; Based on the maximum bubble diameter and the bubble diameters other than the maximum bubble diameter, the initial number of bubbles at each diameter is obtained by counting, and the initial number of bubbles is corrected to obtain the number of bubbles at each diameter.

[0009] According to a method for analyzing the number and size of bubbles in a gas-liquid mixed delivery pump provided by the present invention, the maximum diameter of the bubbles is obtained by the following formula:

[0010] in, D max represents the maximum diameter of the bubble, L im Indicates the axial length of the impeller of the mixed flow pump,Lp Indicates the axial length of the impeller of the target gas-liquid flow field image, D Pmax Indicates the maximum bubble pixel diameter.

[0011] According to a method for analyzing the number and size of bubbles in a gas-liquid mixed delivery pump provided by the present invention, the diameter of the bubbles other than the maximum diameter of the bubbles is obtained by the following formula:

[0012] in, D represents the diameter of the bubbles other than the maximum diameter of the bubbles, D max represents the maximum diameter of the bubble, α Indicates the bubble diameter correction factor, the value range is 0.8≤ α ≤1.5, S Pmax represents the maximum bubble pixel area, S P Indicates the bubble pixel area of ​​bubbles corresponding to diameters other than the maximum diameter of the bubble.

[0013] According to a method for analyzing the number and size of bubbles in a gas-liquid mixed delivery pump provided by the present invention, the initial number of bubbles is corrected to obtain the number of bubbles at each diameter, which is achieved by the following formula:

[0014] in, N D * represents the number of bubbles when the bubble diameter is D, β Indicates the bubble quantity correction factor, the value range is 1.0≤ β ≤2.0, N Di Indicates i The number of bubbles under the target gas-liquid flow field image is shown in Figure 1, and N represents the number of target gas-liquid flow field images that are repeatedly analyzed.

[0015] The present invention also provides a system for measuring the number and size of bubbles in a gas-liquid mixed delivery pump, comprising: a high-speed photography system and an execution unit; The high-speed photography system includes: a high-speed camera and a fill light; wherein the high-speed camera is used to photograph the impeller and guide vane flow field area to obtain the gas-liquid flow field image in the pump, and the lens of the high-speed camera is arranged in parallel with the mixed pump; the fill light is used to directly illuminate the ground and use side light for fill light; The execution unit is used to execute any of the above-mentioned methods for analyzing the number and size of bubbles in a gas-liquid mixed transfer pump.

[0016] The present invention also provides an analysis device for the number and size of bubbles in a gas-liquid mixed delivery pump, which is applied to a measurement system for the number and size of bubbles in a gas-liquid mixed delivery pump, wherein the measurement system comprises a high-speed photography system, and the high-speed photography system is used to obtain an image of the gas-liquid flow field in the pump; Includes the following modules: A determination module, for determining a plurality of target gas-liquid flow field images based on the gas-liquid flow field images in the pump acquired by the high-speed photography system, and preprocessing the plurality of target gas-liquid flow field images; wherein the target gas-liquid flow field images are gas-liquid flow field images continuously photographed after the flow in the pump is stabilized, and each of the target gas-liquid flow field images contains a plurality of bubbles; the preprocessing includes: bubble marking, graying, denoising and binarization processing; a calculation module, configured to determine the boundary of each bubble among the plurality of bubbles based on the preprocessed target gas-liquid flow field image, obtain a detection result of the bubble contour, and perform calculation based on the detection result of the bubble contour to obtain a bubble contour pixel area of ​​each bubble among the plurality of bubbles; The analysis module is used to calculate the diameter of each bubble based on the bubble outline pixel area of ​​each bubble in the plurality of bubbles, and determine the number of bubbles under each diameter.

[0017] The present invention also provides an electronic device, comprising a memory, a processor, a communication interface, a communication bus, and a computer program stored in the memory and executable on the processor, characterized in that the processor, the communication interface, and the memory communicate with each other via the communication bus, and when the processor executes the computer program, it implements a method for analyzing the number and size of bubbles in a gas-liquid mixed transfer pump as described in any one of the above-mentioned methods.

[0018] The present invention also provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements a method for analyzing the number and size of bubbles in a gas-liquid mixed transfer pump as described in any one of the above.

[0019] The present invention also provides a computer program product, comprising a computer program, wherein when the computer program is executed by a processor, the method for analyzing the number and size of bubbles in a gas-liquid mixed transfer pump as described in any one of the above is implemented.

[0020] The present invention provides a method and device for analyzing the number and size of bubbles in a gas-liquid mixed flow pump, which are applied to a system for measuring the number and size of bubbles in a gas-liquid mixed flow pump, wherein the measuring system comprises a high-speed photography system, which is used to obtain a gas-liquid flow field image in the pump; a plurality of target gas-liquid flow field images are determined based on the gas-liquid flow field image in the pump obtained by the high-speed photography system, and the plurality of target gas-liquid flow field images are preprocessed; wherein the target gas-liquid flow field images are gas-liquid flow field images continuously photographed after the flow in the pump is stabilized, and each of the target gas-liquid flow field images contains a plurality of bubbles; the preprocessing comprises: bubble marking, graying, denoising and binarization processing; based on the preprocessed target gas-liquid flow field image, the boundary of each bubble in the plurality of bubbles is determined to obtain a detection result of the bubble contour, and based on the detection result of the bubble contour, calculation is performed to obtain the bubble contour pixel area of ​​each bubble in the plurality of bubbles; based on the bubble contour pixel area of ​​each bubble in the plurality of bubbles, the diameter of each bubble is calculated, and the number of bubbles under each diameter is determined. It can be seen that the present invention realizes high-precision capture of the gas-liquid flow field characteristics in the pump through high-speed photography technology, which provides an important basis for analyzing the number and size of bubbles; based on image processing and computer vision technology, the gas-liquid flow field image in the pump is processed and analyzed through bubble marking, contour detection and other steps, which significantly reduces manual measurement errors, improves the efficiency and accuracy of data analysis, and saves time and cost. BRIEF DESCRIPTION OF THE DRAWINGS

[0021] In order to more clearly illustrate the technical solutions in the present invention or the prior art, the following briefly introduces the drawings required for use in the embodiments or the description of the prior art. Obviously, the drawings described below are some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.

[0022] Figure 1 It is a schematic flow chart of the method for analyzing the number and size of bubbles in a gas-liquid mixed transfer pump provided by the present invention.

[0023] Figure 2 It is a schematic diagram of a system for measuring the number and size of bubbles in a gas-liquid mixed transfer pump provided by the present invention.

[0024] Figure 3 It is a schematic diagram of the outer diameter of the impeller of the mixed flow pump provided by the present invention.

[0025] Figure 4 It is a schematic diagram of bubble identification results at the impeller inlet of a mixed flow pump under a working condition provided by the present invention.

[0026] Figure 5 It is a schematic diagram of the statistical analysis results of the number and size of bubbles at the impeller inlet of a mixed flow pump under a working condition provided by the present invention.

[0027] Figure 6 It is a structural schematic diagram of a device for analyzing the number and size of bubbles in a gas-liquid mixed transfer pump provided by the present invention.

[0028] Figure 7 It is a structural schematic diagram of the electronic device provided by the present invention.

[0029] Reference numerals: 1. Liquid pipeline; 2. Gas pipeline; 3. Gas-liquid mixing pipeline; 4. Mixing pump; 5. Electromagnetic flowmeter; 6. Gas mass flowmeter; 7. Compressor; 8. Multifunctional water tank; 9. Mixer; 10. High-speed photography system; 10-1. High-speed camera; 10-2. Fill light; 11. Electronic equipment; 12. Control valve; 13. Check valve; 14. Gate valve A; 15. Gate valve B; 16. Pressure gauge A; 17. Pressure gauge B; 18. Dynamic torque sensor; 19. Electric motor. DETAILED DESCRIPTION

[0030] In order to make the purpose, technical solution and advantages of the present invention clearer, the technical solution of the present invention will be clearly and completely described below in conjunction with the drawings of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0031] Combine the following Figure 1-Figure 7 The present invention describes a method and device for analyzing the number and size of bubbles in a gas-liquid mixed transmission pump.

[0032] Figure 1 Schematic diagram of the process of analyzing the number and size of bubbles in a gas-liquid mixed delivery pump provided by the present invention. Figure 1 As shown, a system for measuring the number and size of bubbles in a gas-liquid mixed transfer pump is used. The measuring system includes a high-speed photography system, which is used to obtain an image of the gas-liquid flow field in the pump.

[0033] It should be noted that the embodiment of the present invention is applied to a system for measuring the number and size of bubbles in a gas-liquid mixed delivery pump. Figure 2 is a schematic diagram of a system for measuring the number and size of bubbles in a gas-liquid mixed delivery pump provided by the present invention, Figure 3 The following is a schematic diagram of the outer diameter of the impeller of the mixed pump provided by the present invention. Figure 2 and Figure 3 A system for measuring the number and size of bubbles in a gas-liquid mixed transfer pump provided in an embodiment of the present invention is described.

[0034] Specifically, Figure 2As shown, the system for measuring the number and size of bubbles in a gas-liquid mixed pump includes a liquid pipeline 1, a gas pipeline 2, a gas-liquid mixing pipeline 3, a mixed pump 4, an electromagnetic flowmeter 5, a gas mass flowmeter 6, a compressor 7, a multifunctional water tank 8, a homogenizer 9, a high-speed photography system 10, and an electronic device 11. The water in the liquid pipeline 1 is provided by the multifunctional water tank 8, and the liquid flow rate is measured by the electromagnetic flowmeter 5; the air in the gas pipeline 2 is provided by the compressor 7, and the gas flow rate is measured by the gas mass flowmeter 6 after the pressure is stabilized; the ends of the liquid pipeline 1 and the gas pipeline 2 are both connected to the homogenizer 9, and the homogenizer 9 is installed at the front end of the impeller inlet of the mixed pump 4; the air and water are mixed evenly by the homogenizer 9 and enter the mixed pump 4 together, and flow back to the multifunctional water tank 8 through the gas-liquid mixing pipeline 3, and the air escapes from the multifunctional water tank 8 and is discharged into the atmosphere. The high-speed photography system 10 is used to capture the flow field characteristics in the mixed pump with high precision, and collect the data to the electronic device 11 through the data signal line for processing and analysis.

[0035] A check valve 13 is installed on the gas pipeline 2 to prevent water from entering the gas pipeline 2, and a regulating valve 12 is installed at the same time to adjust the gas content at the inlet of the mixed pump 4; gate valves 14 and 15 are installed on the liquid pipeline 1 and the gas-liquid mixing pipeline 3 to control the on-off of the pipeline; the inlet and outlet of the mixed pump 4 are respectively equipped with a pressure gauge A16 and a pressure gauge B17 to measure the pressure difference between the inlet and outlet of the pump; the mixed pump 4 is driven by an electric motor 19, and a dynamic torque sensor 18 is installed on the rotating shaft to measure the speed, torque and power of the mixed pump 4.

[0036] The upstream straight pipe section of the electromagnetic flowmeter 5 L u and downstream straight pipe section L d range, L u ≥5 D im , L d ≥2 D im , D im The impeller outer diameter; the impeller and guide vane housings of the mixed pump 4 are both transparent, with a maximum pressure resistance of P max Range is P max ≥3 ρgH im , the light transmittance is greater than 90%, among which, H im Design lift for mixed flow pump.

[0037] Specifically, in the embodiment of the present invention, the outer diameter of the impeller of the mixed delivery pump 4 is Dim =0.15m, upstream straight pipe section of electromagnetic flowmeter 5 L u =6.7 D im =1.0m, downstream straight pipe section L d = 2 D im =0.3m; the maximum pressure that the transparent shell can withstand P max The design head of the mixed pump is 0.6MPa. H im The transmission rate is greater than 92%.

[0038] The high-speed photography system 10 includes: a high-speed camera 10-1, a fill light 10-2, and the high-speed camera lens is arranged in parallel with the mixed pump 4 to ensure that the impeller and the guide vane flow field area can be photographed at the same time. L 1 Range: 2 D im ≤ L 1 ≤5 D im The fill light 10-2 is directed directly to the ground, and uses the side light with relatively weak light intensity for fill light.

[0039] Specifically, in the embodiment of the present invention, the high-speed photography system 10 includes a high-speed camera 10-1 and two fill lights 10-2. The high-speed camera lens is arranged parallel to the mixed pump 4, and the distance between the two is 1 / 4. L 1 =2.67 D im = 0.4m, two fill lights 10-2 are arranged on the left and right sides of the high-speed camera 10-1, and use the side light with relatively weak light intensity for fill light.

[0040] Exemplarily, the electronic device 11 may be, but is not limited to, a desktop computer, a laptop computer, or a cloud server, etc.

[0041] Furthermore, the electronic device 11 also includes an execution unit for executing the method for analyzing the number and size of bubbles in the gas-liquid mixed transfer pump provided in an embodiment of the present invention.

[0042] Specifically, in the embodiment of the present invention, the uncertainty of the measurement system should meet the requirements of relevant specifications, and the head is selected as the key evaluation index of the uncertainty of the measurement system. The overall uncertainty calculation steps of the pump head are as follows: S1: Functional relationship for determining lift: ,in p1, p 2 are the pump inlet and outlet pressures respectively.

[0043] S2: Select a set of pump outlet pressures p 2 data, unit MPa: 0.116, 0.114, 0.115, 0.116, 0.115, 0.117, calculate the average of the pump inlet pressure :

[0044] S3: Calculate the pump outlet pressure p 2 Relative value of random uncertainty of the mean U Rp2 :

[0045] S4: It is known that the pressure gauge B17 measuring the pump outlet pressure has a measurement accuracy of ±0.4% and a maximum range of 1 MPa. Calculate the pump outlet pressure p 2 The relative value of the system uncertainty U Sp2 :

[0046] S5: Calculate pump inlet pressure p The overall uncertainty of 2 U p2 :

[0047] S6: Repeat steps S2 to S5 to calculate the parameter pump inlet pressure p The overall uncertainty of 1 U P1 =2.10%.

[0048] S7: Calculate the overall uncertainty of pump head:

[0049] S8: According to the standard GB∕T 3216-2016 rotary dynamic pump hydraulic performance acceptance test level 1, level 2 and level 3, the allowable value of head measurement uncertainty is 3.5% respectively. Therefore, the head measurement uncertainty of the test system in the embodiment of the present invention meets the requirements of the standard GB∕T 3216-2016, and the number and size of bubbles in the pump can be analyzed.

[0050] The following is a description of a method for analyzing the number and size of bubbles in a gas-liquid mixed delivery pump provided by an embodiment of the present invention. The method includes the following steps: Step 100, based on the gas-liquid flow field image in the pump acquired by the high-speed photography system, determine a plurality of target gas-liquid flow field images, and pre-process the plurality of target gas-liquid flow field images; wherein the target gas-liquid flow field images are gas-liquid flow field images continuously shot after the flow in the pump is stabilized, and each of the target gas-liquid flow field images contains a plurality of bubbles; the pre-processing includes: bubble marking, graying, denoising and binarization processing.

[0051] In one embodiment, in the electronic device 11, the continuously photographed images taken after the flow is stable in the working condition to be analyzed are selected. N Considering the number of measurements, it is more difficult to maintain constant measurement conditions. N The range is 3≤ N ≤10. N The images are preprocessed, including bubble marking, image grayscale, denoising and binarization, etc., to facilitate subsequent analysis and recognition.

[0052] Step 200: determine the boundary of each bubble in the multiple bubbles based on the preprocessed target gas-liquid flow field image to obtain a detection result of the bubble contour, and calculate based on the detection result of the bubble contour to obtain a bubble contour pixel area of ​​each bubble in the multiple bubbles.

[0053] Specifically, step 200 determines the boundary of each bubble in the plurality of bubbles, obtains a detection result of the bubble outline, and performs calculation based on the detection result of the bubble outline to obtain a bubble outline pixel area of ​​each bubble in the plurality of bubbles, including: Step 210: Determine and draw the boundary of each bubble in the plurality of bubbles by using a contour detection algorithm to obtain a detection result of the bubble contour.

[0054] Specifically, after preprocessing N For a picture, use the contour detection algorithm to find the boundaries of all bubbles in the image. For a small number of unrecognizable tiny bubbles, or for cases where the bubble edges are blurred or adhered, morphological operations or manual processing can be selected to improve the detection results of the bubble contours.

[0055] Step 220: Based on the pixel-based scale measurement technology, traverse the outline of each bubble in the multiple bubbles and perform calculations to obtain the bubble outline pixel area of ​​each bubble in the multiple bubbles.

[0056] Specifically, based on the pixel scale measurement technology, each bubble outline is traversed and the pixel area of ​​the bubble outline is calculated, and the calculated data is output to the electronic device 11 for storage.

[0057] Step 300: Calculate the diameter of each bubble based on the bubble outline pixel area of ​​each bubble in the plurality of bubbles, and determine the number of bubbles at each diameter.

[0058] Specifically, step 300 calculates the diameter of each bubble based on the bubble outline pixel area of ​​each bubble in the plurality of bubbles, and determines the number of bubbles under each diameter, including: Step 310, based on the axial length of the impeller of the mixed pump, the axial length of the impeller of the target gas-liquid flow field image, and the maximum bubble pixel diameter, the maximum bubble diameter is calculated; wherein the maximum bubble pixel diameter is obtained by obtaining the minimum circumscribed circle of the bubble contour and calculating the maximum value of the minimum circumscribed circle diameter.

[0059] Specifically, the maximum diameter of the bubble is obtained by the following formula:

[0060] in, D max represents the maximum diameter of the bubble, L im Indicates the axial length of the impeller of the mixed flow pump, Lp Indicates the axial length of the impeller of the target gas-liquid flow field image, D Pmax Indicates the maximum bubble pixel diameter.

[0061] Step 320: Calculate the diameter of bubbles other than the maximum bubble diameter based on the maximum bubble diameter, a predetermined bubble diameter correction factor, a maximum bubble pixel area, and bubble pixel areas of bubbles corresponding to diameters other than the maximum bubble diameter.

[0062] Specifically, the bubble diameters other than the maximum bubble diameter are obtained by the following formula:

[0063] in, D represents the diameter of the bubbles other than the maximum diameter of the bubbles, D max represents the maximum diameter of the bubble, α Indicates the bubble diameter correction factor, the value range is 0.8≤ α ≤1.5, S Pmax represents the maximum bubble pixel area, S P Indicates the bubble pixel area of ​​bubbles corresponding to diameters other than the maximum diameter of the bubble.

[0064] Step 330: Based on the maximum bubble diameter and the bubble diameters other than the maximum bubble diameter, the initial number of bubbles under each diameter is obtained by counting, and the initial number of bubbles is corrected to obtain the number of bubbles under each diameter.

[0065] Specifically, the initial number of bubbles is corrected to obtain the number of bubbles at each diameter, which is achieved by the following formula:

[0066] in, N D * represents the number of bubbles when the bubble diameter is D, β Indicates the bubble quantity correction factor, the value range is 1.0≤ β ≤2.0, N Di Indicates i The number of bubbles under the target gas-liquid flow field image is shown in Figure 1, and N represents the number of target gas-liquid flow field images that are repeatedly analyzed.

[0067] Specifically, by repeatedly analyzing N target gas-liquid flow field images, the number of bubble diameters in each acquired image is averaged to obtain the number of bubbles in each diameter, thereby ensuring a small error and high analysis accuracy.

[0068] The above is a description of the steps of the method for analyzing the number and size of bubbles in the gas-liquid mixed transfer pump provided by the present invention. It can be seen from the description of the above steps that the method for analyzing the number and size of bubbles in a gas-liquid mixed flow pump provided by the present invention is applied to a system for measuring the number and size of bubbles in a gas-liquid mixed flow pump, the measuring system comprising a high-speed photography system, the high-speed photography system being used to obtain a gas-liquid flow field image in the pump; by determining a plurality of target gas-liquid flow field images based on the gas-liquid flow field image in the pump obtained by the high-speed photography system, and preprocessing the plurality of target gas-liquid flow field images; wherein the target gas-liquid flow field images are gas-liquid flow field images continuously photographed after the flow in the pump is stabilized, and each of the target gas-liquid flow field images contains a plurality of bubbles; the preprocessing comprises: bubble marking, graying, denoising and binarization processing; based on the preprocessed target gas-liquid flow field image, determining the boundary of each bubble in the plurality of bubbles, obtaining a detection result of the bubble contour, and calculating based on the detection result of the bubble contour to obtain a bubble contour pixel area of ​​each bubble in the plurality of bubbles; calculating the diameter of each bubble based on the bubble contour pixel area of ​​each bubble in the plurality of bubbles, and determining the number of bubbles under each diameter. It can be seen that the present invention realizes high-precision capture of the gas-liquid flow field characteristics in the pump through high-speed photography technology, which provides an important basis for analyzing the number and size of bubbles; based on image processing and computer vision technology, the gas-liquid flow field image in the pump is processed and analyzed through bubble marking, contour detection and other steps, which significantly reduces manual measurement errors, improves the efficiency and accuracy of data analysis, and saves time and cost.

[0069] The method for analyzing the number and size of bubbles in the gas-liquid mixed transfer pump provided by the present invention is described below with reference to specific examples.

[0070] In a specific example of the present invention, the number and size of bubbles at the inlet of the mixed pump impeller are analyzed using the software Matlab, and the specific steps are as follows: Step 100: In the electronic device 11, three photos of the flow field at the impeller inlet taken continuously after the mixed flow pump has stabilized in a working condition are selected. The three selected photos are preprocessed, including marking bubbles in the photos, graying, binarization, etc., to facilitate subsequent analysis and recognition.

[0071] Step 200: For the three preprocessed images, use the contour detection algorithm to find the boundaries of all bubbles in the image. Figure 4 is a schematic diagram of bubble recognition results of the impeller inlet of a mixed flow pump under a working condition provided by the present invention. The recognition results are as follows Figure 4 Based on the pixel-based scale measurement technology, each bubble outline is traversed and the bubble outline pixel area is calculated, and the calculated data is automatically output to the electronic device 11 for storage.

[0072] Step 300: Statistical analysis of the number and size of bubbles is performed by using the computer program B11-1-2 in the above embodiment of the present invention in the software Matlab. Figure 5 The present invention provides a schematic diagram of the statistical analysis results of the number and size of bubbles at the impeller inlet of the mixed flow pump under a working condition. The analysis results are as follows: Figure 5 As shown. The axial length of the impeller of the mixed pump is L im =70mm; the axial length of the impeller in the 3 pictures Lp Both are 134mm, the maximum bubble pixel diameter D Pmax They are 7mm, 5mm, and 5.5mm respectively. The actual maximum diameter of the bubble D max They are 3.65mm, 2.61mm, and 2.87mm respectively, with the largest bubble pixel area S Pmax They are 831, 401, and 602 respectively; bubble diameter correction factor α= 1.05 , Bubble Quantity Correction Factor β= 1.2; By using the computer program B11-1-2 in the above embodiment of the present invention in the software Matlab, the statistical analysis process of the number and size of bubbles in the impeller inlet of the mixed flow pump in step 300 is completed, such as Figure 5 shown.

[0073] The measurement system for the number and size of bubbles in a gas-liquid mixed flow pump provided by the embodiment of the present invention has the characteristics of high precision, good stability and strong anti-interference ability. The analysis method for the number and size of bubbles in a gas-liquid mixed flow pump has the characteristics of high efficiency, accuracy and innovation. The embodiment of the present invention provides an important basis for the study of bubble characteristics in a mixed flow pump.

[0074] The following is a description of the device for analyzing the number and size of bubbles in a gas-liquid mixed infusion pump provided by the present invention. The device for analyzing the number and size of bubbles in a gas-liquid mixed infusion pump described below and the method for analyzing the number and size of bubbles in a gas-liquid mixed infusion pump described above can be referenced to each other.

[0075] Figure 6 Schematic diagram of the structure of the device for analyzing the number and size of bubbles in the gas-liquid mixed delivery pump provided by the present invention. Figure 6 As shown, the device for analyzing the number and size of bubbles in a gas-liquid mixed delivery pump provided by the present invention is applied to a system for measuring the number and size of bubbles in a gas-liquid mixed delivery pump, wherein the measuring system comprises a high-speed photography system, and the high-speed photography system is used to obtain an image of the gas-liquid flow field in the pump; The device comprises: The determination module 601 is used to determine a plurality of target gas-liquid flow field images based on the gas-liquid flow field image in the pump acquired by the high-speed photography system, and pre-process the plurality of target gas-liquid flow field images; wherein the target gas-liquid flow field images are gas-liquid flow field images continuously photographed after the flow in the pump is stabilized, and each of the target gas-liquid flow field images contains a plurality of bubbles; the pre-processing includes: bubble marking, graying, denoising and binarization processing; A calculation module 602 is used to determine the boundary of each bubble among the multiple bubbles based on the preprocessed target gas-liquid flow field image, obtain a detection result of the bubble contour, and perform calculation based on the detection result of the bubble contour to obtain a bubble contour pixel area of ​​each bubble among the multiple bubbles; The analysis module 603 is used to calculate the diameter of each bubble based on the bubble outline pixel area of ​​each bubble in the multiple bubbles, and determine the number of bubbles under each diameter.

[0076] The present invention provides an analysis device for the number and size of bubbles in a gas-liquid mixed flow pump, which is applied to a measurement system for the number and size of bubbles in a gas-liquid mixed flow pump, wherein the measurement system comprises a high-speed photography system, which is used to obtain a gas-liquid flow field image in the pump; a plurality of target gas-liquid flow field images are determined based on the gas-liquid flow field image in the pump obtained by the high-speed photography system, and the plurality of target gas-liquid flow field images are preprocessed; wherein the target gas-liquid flow field images are gas-liquid flow field images continuously photographed after the flow in the pump is stabilized, and each of the target gas-liquid flow field images contains a plurality of bubbles; the preprocessing comprises: bubble marking, graying, denoising and binarization processing; based on the preprocessed target gas-liquid flow field image, the boundary of each bubble in the plurality of bubbles is determined to obtain a detection result of the bubble contour, and based on the detection result of the bubble contour, calculation is performed to obtain the bubble contour pixel area of ​​each bubble in the plurality of bubbles; based on the bubble contour pixel area of ​​each bubble in the plurality of bubbles, the diameter of each bubble is calculated, and the number of bubbles under each diameter is determined. It can be seen that the present invention realizes high-precision capture of the gas-liquid flow field characteristics in the pump through high-speed photography technology, which provides an important basis for analyzing the number and size of bubbles; based on image processing and computer vision technology, the gas-liquid flow field image in the pump is processed and analyzed through bubble marking, contour detection and other steps, which significantly reduces manual measurement errors, improves the efficiency and accuracy of data analysis, and saves time and cost.

[0077] Based on the above embodiment, in this embodiment, the calculation module 602 is specifically used for: Determine and draw the boundary of each bubble in the plurality of bubbles by using a contour detection algorithm to obtain a detection result of the bubble contour; Based on the pixel-based scale measurement technology, the outline of each bubble in the plurality of bubbles is traversed and calculated to obtain the bubble outline pixel area of ​​each bubble in the plurality of bubbles.

[0078] Based on the above embodiment, in this embodiment, the analysis module 603 is specifically used for: The maximum bubble diameter is calculated based on the axial length of the impeller of the mixed pump, the axial length of the impeller of the target gas-liquid flow field image, and the maximum bubble pixel diameter; wherein the maximum bubble pixel diameter is obtained by obtaining the minimum circumscribed circle of the bubble contour and calculating the maximum value of the minimum circumscribed circle diameter; Based on the maximum bubble diameter, a predetermined bubble diameter correction factor, a maximum bubble pixel area, and bubble pixel areas of bubbles corresponding to diameters other than the maximum bubble diameter, the bubble diameter other than the maximum bubble diameter is calculated; Based on the maximum bubble diameter and the bubble diameters other than the maximum bubble diameter, the initial number of bubbles at each diameter is obtained by counting, and the initial number of bubbles is corrected to obtain the number of bubbles at each diameter.

[0079] Based on the above embodiment, in this embodiment, the maximum diameter of the bubble is obtained by the following formula:

[0080] in, D max represents the maximum diameter of the bubble, L im Indicates the axial length of the impeller of the mixed flow pump, Lp Indicates the axial length of the impeller of the target gas-liquid flow field image, D Pmax Indicates the maximum bubble pixel diameter.

[0081] Based on the above embodiment, in this embodiment, the bubble diameter other than the maximum bubble diameter is obtained by the following formula:

[0082] in, D represents the diameter of the bubbles other than the maximum diameter of the bubbles, D max represents the maximum diameter of the bubble, α Indicates the bubble diameter correction factor, the value range is 0.8≤ α ≤1.5, S Pmax represents the maximum bubble pixel area, S P Indicates the bubble pixel area of ​​bubbles corresponding to diameters other than the maximum diameter of the bubble.

[0083] Based on the above embodiment, in this embodiment, the initial number of bubbles is corrected to obtain the number of bubbles under each diameter, which is achieved by the following formula:

[0084] in, N D * represents the number of bubbles when the bubble diameter is D, β Indicates the bubble quantity correction factor, the value range is 1.0≤ β ≤2.0, N Di Indicates i The number of bubbles under the target gas-liquid flow field image is shown in Figure 1, and N represents the number of target gas-liquid flow field images that are repeatedly analyzed.

[0085] Figure 7 An example of a physical structure diagram of an electronic device is shown in FIG. Figure 7 As shown, the electronic device may include: a processor 710, a communication interface 720, a memory 730 and a communication bus 740, wherein the processor 710, the communication interface 720 and the memory 730 communicate with each other through the communication bus 740. The processor 710 may call the logic instructions in the memory 730 to execute the method for analyzing the number and size of bubbles in the gas-liquid mixed infusion pump, and the method may be applied to the measurement system for the number and size of bubbles in the gas-liquid mixed infusion pump, wherein the measurement system includes a high-speed photography system, and the high-speed photography system is used to obtain the gas-liquid flow field image in the pump; The method comprises: Based on the gas-liquid flow field image in the pump acquired by the high-speed photography system, a plurality of target gas-liquid flow field images are determined, and the plurality of target gas-liquid flow field images are preprocessed; wherein the target gas-liquid flow field images are gas-liquid flow field images taken continuously after the flow in the pump is stabilized, and each of the target gas-liquid flow field images contains a plurality of bubbles; the preprocessing includes: bubble marking, graying, denoising and binarization processing; Determine the boundary of each bubble among the plurality of bubbles based on the preprocessed target gas-liquid flow field image to obtain a detection result of the bubble contour, and perform calculation based on the detection result of the bubble contour to obtain a bubble contour pixel area of ​​each bubble among the plurality of bubbles; The diameter of each bubble in the plurality of bubbles is calculated based on the bubble outline pixel area of ​​each bubble, and the number of bubbles at each diameter is determined.

[0086] In addition, the logic instructions in the above-mentioned memory 730 can be implemented in the form of a software functional unit and can be stored in a computer-readable storage medium when it is sold or used as an independent product. Based on this understanding, the technical solution of the present invention can be essentially or partly embodied in the form of a software product that contributes to the prior art. The computer software product is stored in a storage medium, including several instructions to enable a computer device (which can be a personal computer, a server, or a network device, etc.) to perform all or part of the steps of the method described in each embodiment of the present invention. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), disk or optical disk, etc. Various media that can store program codes.

[0087] On the other hand, the present invention further provides a computer program product, the computer program product includes a computer program, the computer program can be stored in a non-transitory computer-readable storage medium, when the computer program is executed by a processor, the computer can execute the analysis method of the number and size of bubbles in the gas-liquid mixed transfer pump provided by the above methods, and the measurement system of the number and size of bubbles in the gas-liquid mixed transfer pump is applied, the measurement system includes a high-speed photography system, and the high-speed photography system is used to obtain the gas-liquid flow field image in the pump; The method comprises: Based on the gas-liquid flow field image in the pump acquired by the high-speed photography system, a plurality of target gas-liquid flow field images are determined, and the plurality of target gas-liquid flow field images are preprocessed; wherein the target gas-liquid flow field images are gas-liquid flow field images taken continuously after the flow in the pump is stabilized, and each of the target gas-liquid flow field images contains a plurality of bubbles; the preprocessing includes: bubble marking, graying, denoising and binarization processing; Determine the boundary of each bubble among the plurality of bubbles based on the preprocessed target gas-liquid flow field image to obtain a detection result of the bubble contour, and perform calculation based on the detection result of the bubble contour to obtain a bubble contour pixel area of ​​each bubble among the plurality of bubbles; The diameter of each bubble in the plurality of bubbles is calculated based on the bubble outline pixel area of ​​each bubble, and the number of bubbles at each diameter is determined.

[0088] In another aspect, the present invention further provides a non-transitory computer-readable storage medium having a computer program stored thereon, which is implemented when the computer program is executed by a processor to perform the analysis method of the number and size of bubbles in a gas-liquid mixed delivery pump provided by the above methods, and is applied to a measurement system for the number and size of bubbles in a gas-liquid mixed delivery pump, wherein the measurement system includes a high-speed photography system, and the high-speed photography system is used to obtain an image of the gas-liquid flow field in the pump; The method comprises: Based on the gas-liquid flow field image in the pump acquired by the high-speed photography system, a plurality of target gas-liquid flow field images are determined, and the plurality of target gas-liquid flow field images are preprocessed; wherein the target gas-liquid flow field images are gas-liquid flow field images taken continuously after the flow in the pump is stabilized, and each of the target gas-liquid flow field images contains a plurality of bubbles; the preprocessing includes: bubble marking, graying, denoising and binarization processing; Determine the boundary of each bubble among the plurality of bubbles based on the preprocessed target gas-liquid flow field image to obtain a detection result of the bubble contour, and perform calculation based on the detection result of the bubble contour to obtain a bubble contour pixel area of ​​each bubble among the plurality of bubbles; The diameter of each bubble in the plurality of bubbles is calculated based on the bubble outline pixel area of ​​each bubble, and the number of bubbles at each diameter is determined.

[0089] The device embodiments described above are merely illustrative, wherein the units described as separate components may or may not be physically separated, and the components displayed as units may or may not be physical units, that is, they may be located in one place, or they may be distributed on multiple network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the scheme of this embodiment. Ordinary technicians in this field can understand and implement it without paying creative labor.

[0090] Through the description of the above implementation methods, those skilled in the art can clearly understand that each implementation method can be implemented by means of software plus a necessary general hardware platform, and of course, can also be implemented by hardware. Based on this understanding, the above technical solution is essentially or the part that contributes to the prior art can be embodied in the form of a software product, and the computer software product can be stored in a computer-readable storage medium, such as ROM / RAM, a disk, an optical disk, etc., including a number of instructions for a computer device (which can be a personal computer, a server, or a network device, etc.) to execute the methods described in each embodiment or some parts of the embodiments.

[0091] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit it. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein. However, these modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for analyzing the number and size of bubbles in a gas-liquid mixed transfer pump, characterized in that: A system for measuring the number and size of bubbles in a gas-liquid mixed delivery pump, the system comprising a high-speed photography system for acquiring an image of the gas-liquid flow field in the pump; The method comprises: Based on the gas-liquid flow field image in the pump acquired by the high-speed photography system, a plurality of target gas-liquid flow field images are determined, and the plurality of target gas-liquid flow field images are preprocessed; wherein the target gas-liquid flow field images are gas-liquid flow field images taken continuously after the flow in the pump is stabilized, and each of the target gas-liquid flow field images contains a plurality of bubbles; the preprocessing includes: bubble marking, graying, denoising and binarization processing; Determine the boundary of each bubble among the plurality of bubbles based on the preprocessed target gas-liquid flow field image to obtain a detection result of the bubble contour, and perform calculation based on the detection result of the bubble contour to obtain a bubble contour pixel area of ​​each bubble among the plurality of bubbles; The diameter of each bubble in the plurality of bubbles is calculated based on the bubble outline pixel area of ​​each bubble, and the number of bubbles at each diameter is determined.

2. The method for analyzing the number and size of bubbles in a gas-liquid mixed transfer pump according to claim 1, characterized in that: The determining the boundary of each bubble in the plurality of bubbles to obtain a detection result of the bubble outline, and performing calculation based on the detection result of the bubble outline to obtain a bubble outline pixel area of ​​each bubble in the plurality of bubbles includes: Determine and draw the boundary of each bubble in the plurality of bubbles by using a contour detection algorithm to obtain a detection result of the bubble contour; Based on the pixel-based scale measurement technology, the outline of each bubble in the plurality of bubbles is traversed and calculated to obtain the bubble outline pixel area of ​​each bubble in the plurality of bubbles.

3. The method for analyzing the number and size of bubbles in a gas-liquid mixed transfer pump according to claim 2, characterized in that: The step of calculating the diameter of each bubble based on the bubble outline pixel area of ​​each bubble in the plurality of bubbles, and determining the number of bubbles at each diameter, comprises: The maximum bubble diameter is calculated based on the axial length of the impeller of the mixed pump, the axial length of the impeller of the target gas-liquid flow field image, and the maximum bubble pixel diameter; wherein the maximum bubble pixel diameter is obtained by obtaining the minimum circumscribed circle of the bubble contour and calculating the maximum value of the minimum circumscribed circle diameter; Based on the maximum bubble diameter, a predetermined bubble diameter correction factor, a maximum bubble pixel area, and bubble pixel areas of bubbles corresponding to diameters other than the maximum bubble diameter, the bubble diameter other than the maximum bubble diameter is calculated; Based on the maximum bubble diameter and the bubble diameters other than the maximum bubble diameter, the initial number of bubbles at each diameter is obtained by counting, and the initial number of bubbles is corrected to obtain the number of bubbles at each diameter.

4. The method for analyzing the number and size of bubbles in a gas-liquid mixed transfer pump according to claim 3, characterized in that: The maximum diameter of the bubble is obtained by the following formula: in, D max represents the maximum diameter of the bubble, L im Indicates the axial length of the impeller of the mixed flow pump, Lp Indicates the axial length of the impeller of the target gas-liquid flow field image, D Pmax Indicates the maximum bubble pixel diameter.

5. The method for analyzing the number and size of bubbles in a gas-liquid mixed transfer pump according to claim 3, characterized in that: The diameter of the bubbles other than the maximum diameter of the bubbles is obtained by the following formula: in, D represents the diameter of the bubbles other than the maximum diameter of the bubbles, D max represents the maximum diameter of the bubble, α Indicates the bubble diameter correction factor, the value range is 0.8≤ α ≤1.5, S Pmax represents the maximum bubble pixel area, S P Indicates the bubble pixel area of ​​bubbles corresponding to diameters other than the maximum diameter of the bubble.

6. The method for analyzing the number and size of bubbles in a gas-liquid mixed transfer pump according to claim 3, characterized in that: The initial number of bubbles is corrected to obtain the number of bubbles at each diameter, which is achieved by the following formula: in, N D * represents the number of bubbles when the bubble diameter is D, β Indicates the bubble quantity correction factor, the value range is 1.0≤ β ≤2.0, N Di Indicates i The number of bubbles under the target gas-liquid flow field image is shown in Figure 1, and N represents the number of target gas-liquid flow field images that are repeatedly analyzed.

7. A system for measuring the number and size of bubbles in a gas-liquid mixed transfer pump, characterized in that: include: High-speed photography system and execution unit; The high-speed photography system includes: a high-speed camera and a fill light; wherein the high-speed camera is used to photograph the impeller and guide vane flow field area to obtain the gas-liquid flow field image in the pump, and the lens of the high-speed camera is arranged in parallel with the mixed pump; the fill light is used to directly illuminate the ground and use side light for fill light; The execution unit is used to execute the method for analyzing the number and size of bubbles in a gas-liquid mixed transfer pump as described in any one of claims 1 to 6.

8. An analysis device for the number and size of bubbles in a gas-liquid mixed transfer pump, characterized in that: A system for measuring the number and size of bubbles in a gas-liquid mixed delivery pump, the system comprising a high-speed photography system for acquiring an image of the gas-liquid flow field in the pump; The device comprises: A determination module, for determining a plurality of target gas-liquid flow field images based on the gas-liquid flow field images in the pump acquired by the high-speed photography system, and preprocessing the plurality of target gas-liquid flow field images; wherein the target gas-liquid flow field images are gas-liquid flow field images continuously photographed after the flow in the pump is stabilized, and each of the target gas-liquid flow field images contains a plurality of bubbles; the preprocessing includes: bubble marking, graying, denoising and binarization processing; a calculation module, configured to determine the boundary of each bubble among the plurality of bubbles based on the preprocessed target gas-liquid flow field image, obtain a detection result of the bubble contour, and perform calculation based on the detection result of the bubble contour to obtain a bubble contour pixel area of ​​each bubble among the plurality of bubbles; The analysis module is used to calculate the diameter of each bubble based on the bubble outline pixel area of ​​each bubble in the plurality of bubbles, and determine the number of bubbles under each diameter.

9. An electronic device comprising a memory, a processor, a communication interface, a communication bus, and a computer program stored in the memory and executable on the processor, characterized in that: The processor, the communication interface and the memory communicate with each other via the communication bus, and the processor implements the method for analyzing the number and size of bubbles in the gas-liquid mixed transfer pump as described in any one of claims 1 to 6 when executing the computer program.

10. A non-transitory computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the method for analyzing the number and size of bubbles in a gas-liquid mixed transfer pump as claimed in any one of claims 1 to 6 is implemented.

Citation Information

Patent Citations

  • A crucible bubble counting device and a counting method

    CN109840909A

  • Gas-liquid two-phase flow overlapped bubble image segmentation method

    CN110415257A

  • Numerical prediction method for size of bubbles in gas-liquid multiphase pump

    CN110781601A

  • Bubble diameter distribution measuring apparatus and bubble diameter distribution measuring method

    JP2018004450A

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