A method and system for measuring parameters of gas-liquid two-phase flow based on a conductance probe

Abstract

The application belongs to the technical field of multiphase flow parameter testing, and provides a gas-liquid two-phase flow parameter measurement method and system based on a conductivity probe. According to the ratio of the time during which the conductivity probe is occupied by air to the total measurement time of the conductivity probe, the local gas holdup is calculated, the measurement of the local gas holdup is accurately realized in a simple way, and it is not necessary to assume that the gas bubbles are spherical or ellipsoidal. Meanwhile, in the process of calculating the interface concentration, the interface unit normal vector is expressed by the apparent velocity, and according to the reciprocal of the absolute value of the product of the interface unit normal vector and the apparent velocity vector, the interface concentration is calculated. The problem that the gas-liquid interface direction cannot be obtained is solved by expressing the interface unit normal vector by the apparent velocity.

Description

Technical Field

[0001] This invention belongs to the field of multiphase flow parameter testing technology, and particularly relates to a method and system for measuring gas-liquid two-phase flow parameters based on a conductivity probe. Background Technology

[0002] Bubble flow, as a common gas-liquid two-phase flow pattern, has flow parameters such as bubble size, phase distribution, and interfacial concentration that have a significant impact on heat exchange efficiency in industrial applications such as chemical engineering, refrigeration, and power generation. Therefore, the measurement of key parameters of two-phase flow is very important for the design and monitoring of corresponding equipment.

[0003] Two-phase flow parameter measurement methods can be divided into two categories: visualization measurement techniques and point-to-point measurement techniques. Visualization measurement techniques have the advantage of not disturbing the original flow field. However, they are only suitable when the pipe or container being measured is transparent, unless high-energy X-ray photography penetrating metal walls is used. Furthermore, when bubbles overlap, it is difficult to distinguish bubbles at different depths using visualization techniques. Point-to-point measurement techniques are contact-based measurement methods. Their basic principle relies on the different changes in conductivity or refractive index caused by the alternating passage of two-phase flows through the measurement point. Typical point-to-point measurement sensors include wire mesh sensors, dual-electrode conductivity probes, four-electrode conductivity probes, and dual-fiber optical probes. Through high-frequency acquisition and processing of electrical or optical signals, two-phase flow parameters such as local gas content, bubble size, and bubble velocity can be obtained. Wire mesh sensors are fixed and generally installed in the pipe, measuring parameters at different locations on the pipe cross-section. Probe-type sensors can be flexibly installed at any measurement location and can be moved in the flow field as needed, thus attracting more attention.

[0004] The inventors discovered that a four-electrode probe can simultaneously acquire four sets of signals, which can overcome the shortcomings of a bipolar probe to some extent. However, the measurement principle still requires the assumption that the bubble is spherical or ellipsoidal, and it cannot obtain the orientation of the gas-liquid interface. Specifically, bubbles in a two-phase flow are constantly deforming and are difficult to regard as spherical or symmetrical shapes, making it very difficult to accurately measure local flow parameters. This results in the inability to achieve rapid and accurate measurement of local gas content in the gas-liquid two-phase flow parameter measurement method based on conductivity probes, and the inability to accurately determine the interface normal vector representing the interface orientation during the calculation of interface concentration. Summary of the Invention

[0005] To address the aforementioned problems, this invention proposes a method and system for measuring parameters of gas-liquid two-phase flow based on a conductivity probe. This invention achieves accurate measurement of local gas content by using the ratio of the time the conductivity probe is occupied by air to the total measurement time of the conductivity probe, without requiring the assumption that the bubbles are spherical or ellipsoidal. Furthermore, by using the apparent velocity of the conductivity probe to represent the unit normal vector of the interface, the problem of not being able to obtain the orientation of the gas-liquid interface is solved.

[0006] To achieve the above objectives, the present invention is implemented through the following technical solution:

[0007] In a first aspect, the present invention provides a method for measuring parameters of a gas-liquid two-phase flow based on a conductivity probe, comprising:

[0008] The measurement process includes obtaining the time the conductivity probe is occupied by air, the total measurement time of the conductivity probe, the apparent velocity vector measured by the conductivity probe, and the interface normal velocity.

[0009] The local gas content is calculated based on the ratio of the time the conductivity probe is occupied by air to the total measurement time of the conductivity probe; and the interface concentration is calculated by using the apparent velocity to represent the unit normal vector of the interface and the reciprocal of the absolute value of the product of the unit normal vector and the apparent velocity vector.

[0010] Furthermore, measurements were performed using a four-electrode probe.

[0011] Furthermore, when using the apparent velocity to represent the unit normal vector of the interface, if one electrode is selected as electrode 0, then the other three electrodes and electrode 0 together form three position vectors.

[0012] Furthermore, the apparent velocity vector is the ratio of the position vector to the time.

[0013] Furthermore, the interface unit normal vector is represented by three apparent velocity vectors measured by the four-electrode probe; the interface unit normal vector is equal to the product of the two differences between one of the apparent velocity vectors and the other two apparent velocity vectors, and then the absolute value of the product is taken.

[0014] Furthermore, the product of the apparent velocity and the unit normal vector of the interface is divided by the product of the motion direction of the interface and the unit normal vector of the interface to obtain the velocity magnitude of the interface.

[0015] Furthermore, the angle between the interface direction and the axis of the conductive probe is obtained by taking the inverse cosine function of the ratio of the absolute value of the product of the unit normal vector of the interface and the unit normal vector of the conductive probe axis to the product of the unit normal vector of the interface and the unit normal vector of the conductive probe axis.

[0016] Secondly, the present invention also provides a gas-liquid two-phase flow parameter measurement system based on a conductivity probe, comprising:

[0017] The data acquisition module is configured to: acquire the time the conductivity probe is occupied by air during the measurement process, the total measurement time of the conductivity probe, the apparent velocity vector measured by the conductivity probe, and the interface normal velocity;

[0018] The parameter calculation module is configured to: calculate the local gas content based on the ratio of the time the conductivity probe is occupied by air to the total measurement time of the conductivity probe; and calculate the interface concentration based on the reciprocal of the absolute value of the product of the interface unit normal vector and the apparent velocity vector, using the apparent velocity to represent the interface unit normal vector.

[0019] Thirdly, the present invention also provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of the gas-liquid two-phase flow parameter measurement method based on conductivity probes described in the first aspect.

[0020] Fourthly, the present invention also provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the steps of the gas-liquid two-phase flow parameter measurement method based on conductivity probe described in the first aspect.

[0021] Compared with the prior art, the beneficial effects of the present invention are as follows:

[0022] 1. In this invention, the local gas content is calculated based on the ratio of the time the conductivity probe is occupied by air to the total measurement time of the conductivity probe. This provides a simple and accurate way to measure the local gas content without assuming that the bubbles are spherical or ellipsoidal. Furthermore, when determining the interface normal vector during the calculation of the interface concentration, the apparent velocity is used to represent the unit interface normal vector. The interface concentration is calculated based on the reciprocal of the absolute value of the product of the unit interface normal vector and the apparent velocity vector. Using the apparent velocity to represent the unit interface normal vector solves the problem of not being able to obtain the orientation of the gas-liquid interface.

[0023] 2. This invention is applied to the measurement of air-water bubble flow, which can obtain local gas content, interface concentration, and bubble chord length. Furthermore, the orientation and velocity of the interface can be obtained through the direction of interface movement. Through experimental comparison of two measurement methods, namely the four-electrode conductivity probe and visualization, the results show that the two methods have good consistency. The four-electrode conductivity probe has the advantages of simplicity and high efficiency, and can accurately measure parameters such as phase interface orientation in bubble flow. It can also effectively solve the problem of multidimensional two-phase flow parameter measurement. Attached Figure Description

[0024] The accompanying drawings, which form part of this embodiment, are used to provide a further understanding of this embodiment. The illustrative embodiments and their descriptions are used to explain this embodiment and do not constitute an improper limitation of this embodiment.

[0025] Figure 1 The electrode positions are shown in Embodiment 1 of the present invention;

[0026] Figure 2 The relative positions of the probe and the bubble in Embodiment 1 of the present invention;

[0027] Figure 3 This refers to the bubble velocity vector generated in Embodiment 1 of the present invention;

[0028] Figure 4 This is a left view of the probe in Embodiment 1 of the present invention;

[0029] Figure 5 This is a front view of the probe according to Embodiment 1 of the present invention;

[0030] Figure 6 This is the accuracy verification experimental system of Embodiment 1 of the present invention;

[0031] Figure 7 This is a comparison of the local gas content measured by the four conductivity probes and the visualization method in Embodiment 1 of the present invention.

[0032] Figure 8 This is a comparison of the probe and the interface concentration measured by visualization in Embodiment 1 of the present invention;

[0033] Figure 9 This is a comparison of the probe and the interface speed measured by visualization in Embodiment 1 of the present invention;

[0034] Figure 10 This is a comparison of probe measurement and visualization measurement of the radial variation trend of the bubble chord length in Embodiment 1 of the present invention;

[0035] Figure 11 This refers to the results of the bubble lower surface orientation probe and the phase interface orientation measured by visualization in Embodiment 1 of the present invention;

[0036] Figure 12 This is the result of the bubble upper surface orientation probe and the phase interface orientation measured by visualization in Embodiment 1 of the present invention. Detailed Implementation

[0037] The present invention will be further described below with reference to the accompanying drawings and embodiments.

[0038] It should be noted that the following detailed descriptions are exemplary and intended to provide further explanation of this application. Unless otherwise specified, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application pertains.

[0039] Example 1:

[0040] This embodiment provides a method for measuring parameters of gas-liquid two-phase flow based on a conductivity probe, including:

[0041] The measurement process includes obtaining the time the conductivity probe is occupied by air, the total measurement time of the conductivity probe, the apparent velocity vector measured by the conductivity probe, and the interface normal velocity.

[0042] The local gas content is calculated based on the ratio of the time the conductivity probe is occupied by air to the total measurement time of the conductivity probe; and the interface concentration is calculated by using the apparent velocity to represent the unit normal vector of the interface and the reciprocal of the absolute value of the product of the unit normal vector and the apparent velocity vector.

[0043] Specifically, the local gas content is calculated based on the ratio of the time the conductivity probe is occupied by air to the total measurement time of the conductivity probe. This simple method accurately measures the local gas content without assuming that the bubbles are spherical or ellipsoidal. Simultaneously, when determining the interface normal vector during the calculation of the interface concentration, the apparent velocity is used to represent the unit interface normal vector. The interface concentration is calculated based on the reciprocal of the absolute value of the product of the unit interface normal vector and the apparent velocity vector. Using the apparent velocity to represent the unit interface normal vector solves the problem of not being able to obtain the orientation of the gas-liquid interface.

[0044] The specific steps of the method in this embodiment are as follows:

[0045] Optionally, the measurement is performed using a four-electrode probe. Assuming that the tip of the conductivity probe is very small compared to the size of the bubble or phase interface, such as smaller than a preset range, the situation where only a portion of the four electrodes passes through the smaller individual bubbles can be ignored. Furthermore, the interference of the probe on the shape and velocity of the gas-liquid interface can be disregarded. In this case, the local gas content can be expressed as the ratio of the time the electrode is occupied by air to the total measurement time. Since there are four electrodes, the local average gas content is expressed by equation (1):

[0046]

[0047] In the formula, t i 'and t i "s represents the time when the bubble contacts and leaves an electrode; i can take values ​​of 0, 1, 2, and 3, representing the four electrodes; t" represents the time when the bubble contacts and leaves an electrode. total The total measurement time is in seconds.

[0048] The local average interface concentration is related to the interface normal velocity, and can be expressed by equation (2):

[0049]

[0050] In the formula, l is the interface at the l-th measurement point; V l n is the velocity vector of the interface. l This is the unit normal vector of the interface.

[0051] Unlike the traditional method of using trigonometric functions to represent the interface normal, this embodiment uses vector operations to represent the interface direction. Since the cross product of two vectors is a vector perpendicular to both vectors, the interface normal can be represented by the three apparent velocities measured by the four-electrode probe. The unit normal vector of the interface is equal to the product of the differences between one apparent velocity vector and the other two apparent velocity vectors, and then the absolute value of the product is taken. Specifically, it is expressed by equation (3):

[0052]

[0053] In the formula, V1, V2, and V3 are three apparent velocity vectors. When using apparent velocity to represent the unit normal vector of the interface, the apparent velocity vector is the ratio of the position vector to the time. Specifically, if one electrode is selected as electrode 0, then the other three electrodes and electrode 0 together form three position vectors S. i (i = 1, 2, 3), the magnitude of the position vector is the distance between the two electrodes, so the three apparent velocity vectors can be expressed by equation (4):

[0054]

[0055] When time t is the moment the bubble contacts the probe, then the interface unit normal vector n l and apparent velocity vector V i Let n be the unit normal vector and apparent velocity of the bubble's front interface; when t is the moment the bubble leaves the probe, then the unit normal vector n of the interface... l and apparent velocity vector V i Let n be the unit normal vector and apparent velocity of the bubble's back interface. The product of the apparent velocity and the unit normal vector of the interface, divided by the product of the motion direction of the top interface and the unit normal vector of the interface, yields the magnitude of the interface velocity. Specifically, averaging the directions of several interfaces gives the average interface vector at a given location, denoted as n. l If the direction of motion of the interface is known as n v Then the speed of the interface can be expressed by equation (5):

[0056]

[0057] The angle between the interface direction and the conductive probe axis is obtained by taking the inverse cosine function of the ratio of the absolute value of the product of the interface unit normal vector and the conductive probe axis unit normal vector to the product of the interface unit normal vector and the conductive probe axis unit normal vector. Specifically, let the unit normal vector of the probe axis be n. axis Then the angle between the interface direction and the probe axis is expressed by equation (6):

[0058]

[0059] In summary, based on the eight edges of each effective bubble, its known size, and the four probe positions, the local flow parameters generated by each effective bubble can be obtained.

[0060] In other embodiments, structural parameters of the conductivity probe were designed, and the accuracy of its measurement results was verified experimentally; specifically:

[0061] When the probe is small enough, its effect on the bubble can be ignored, while the accuracy is relatively high. The probe structure is as follows: Figure 4 and Figure 5 As shown, the four electrodes, except for their conductive tips, are covered with an insulating layer. The electrodes are encapsulated in resin and fixed by a short stainless steel tube with an inner diameter of 2 mm, which in turn is fixed to the slide rail by a stainless steel tube with an inner diameter of 5 mm and a length of 300 mm. S0 serves as the origin of the coordinate system, and the three position vectors formed by the four electrodes are S1 (0 1.75 0.5), S2 (0.5 1.5 0.5), and S3 (0.5 1.5 0).

[0062] like Figure 6 As shown, the experimental system optionally includes an air compressor, a buffer tank, a rotor flow meter, a control valve, a test section, and a data acquisition system. The inner diameter of the transparent quartz glass tube in the test section is 8 mm, and the inside is filled with water. Air flows in from the bottom of the glass tube, and the flow rate is maintained at 0.1 L / min. At this flow rate, a stable gas-liquid two-phase flow is formed in the glass tube. Since the bubbles observed in the experiment are cap-shaped, this flow pattern is called air-water cap bubble flow.

[0063] The conductivity probe, driven by the upper one-dimensional slide rail, can move along the tube diameter. Limited by the probe's size, it can move within a range of -2.5 to +2 mm, moving 0.5 mm at a time and pausing for 80 seconds each time. The data acquisition unit collects electrical signals at a frequency of 10 kHz. Specifically:

[0064] The total number of bubbles and the effective number and ratio at each radial position measured within 80 seconds are shown in Table 1. Optionally, a scale range from -4 mm to 4 mm was marked on the vertical tube, and flow parameters at a total of 10 radial positions between -2.5 mm and 2 mm were measured using four conductivity probes. It can be seen that an average of 350 bubbles were generated during this period, i.e., a bubble generation frequency of 4.375 per second. The calculated uncertainty in the number of bubbles was between 5 and 6, indicating that the bubbly flow detected in this experiment was relatively uniform and stable, providing a guarantee for measuring two-phase flow parameters. Further analysis of Table 1, and identification through MATLAB, revealed that the number of effective bubbles was significantly less than the total number of bubbles. Furthermore, the ratio of effective bubbles to total bubbles showed a decreasing trend, reaching its lowest value at both ends of the measurement range. As the probe moved away from the tube's central axis, i.e., along the radial direction, the bubble surface became tilted and more easily detached from the probe. For this reason, the error in local flow parameters increased as the ratio of effective bubbles to total bubbles decreased.

[0065] Table 1. Ratio of Effective Bubble Count to Total Detected Bubble Count

[0066]

[0067] The comparison results of local gas content measured by four conductivity probes and visualization are as follows: Figure 7 As shown, since the local gas holdup is the average gas holdup along the entire pipe diameter, it is displayed as a horizontal straight line in the figure. From the perspective of bubble shape, the bubble flow should form a gas holdup peak in the axial direction and then decrease radially. This trend is consistent with the probe measurement results, such as... Figure 7 The seven points are shown in the figure. The dashed line represents the arithmetic mean of the local gas content, which is 8.4% higher than the visual measurement result.

[0068] Comparison of interfacial concentrations measured by probe and visualization, as follows: Figure 8 As shown, the interface concentration measured by visualization is the average gas content of the entire pipe diameter, which is a horizontal straight line. Given the bubble shape, the normal vector of the bubble interface changes from pointing towards the pipe wall to pointing towards the pipe axis. The interface normal vector near the pipe wall is nearly perpendicular to the bubble velocity. According to the definition of local interface concentration (2), its denominator decreases, thus a larger interface concentration is observed near the pipe wall, and the minimum value is obtained on the pipe axis. The probe measurement successfully captured this trend. The arithmetic mean shown by the dashed line is 7% lower than the visualization result.

[0069] The comparison results of the interface speed of probe and visualization measurement are provided by Figure 9As shown, since this embodiment adopts a simple capped bubble flow form, the velocity at the phase interface is the same as the velocity of the bubble, and the velocity is uniform at different positions inside the tube. The velocity measured by the probe at different positions varies within the range of 0.1 to 0.17 m / s. This is due to the measurement error of the probe and the interference with the phase interface. It can be found that the probe measurement error is smaller near the center of the tube and larger far from the center of the tube. Figure 9 The dashed line represents the average probe measurement speed, which is similar to the visual measurement result, with a deviation of 9%.

[0070] The radial variation trend of bubble chord length was compared between probe measurement and visualization measurement. Figure 10 As shown, the chord length reaches its maximum value in the middle and then decreases towards both sides. The maximum deviation between the two occurs at a radial position of -2.5 mm, with a deviation of 8.7%, and the deviation decreases along the tube axis.

[0071] The results of probe and visualization measurements of the phase interface are as follows Figure 11 and Figure 12 As shown, the orientation of the phase interface is represented by the angle between the phase interface direction (pointing towards the liquid) and the probe axis. Figure 11 and Figure 12 The phase interface directions in front of and behind the bubble are shown respectively, and it can be found that the probe measurement results and the visualization measurement results are in good agreement.

[0072] The comparison between probe measurements and visualization measurement results is shown in Tables 2 and 3. Through quantitative comparison, it was found that for two-phase flow parameters, such as local gas content, interface concentration, bubble velocity, bubble chord length and interface orientation, the results obtained by the four-conductivity probe and visualization measurement methods are quite consistent, which proves the correctness of the measurement method proposed in this embodiment.

[0073] Table 2 Comparison of Probe and Visual Measurement Results

[0074]

[0075]

[0076] Table 3 Comparison of Bubble String Length and Interface Orientation for Probe and Visual Measurement

[0077]

[0078] Through comparative analysis, the four-conductivity probe used in this embodiment to measure the local flow parameters of bubbly flow can effectively solve the problem of multidimensional two-phase flow parameter measurement.

[0079] Example 2:

[0080] This embodiment provides a gas-liquid two-phase flow parameter measurement system based on a conductivity probe, including:

[0081] The data acquisition module is configured to: acquire the time the conductivity probe is occupied by air during the measurement process, the total measurement time of the conductivity probe, the apparent velocity vector measured by the conductivity probe, and the interface normal velocity;

[0082] The parameter calculation module is configured to: calculate the local gas content based on the ratio of the time the conductivity probe is occupied by air to the total measurement time of the conductivity probe; and calculate the interface concentration based on the reciprocal of the absolute value of the product of the interface unit normal vector and the apparent velocity vector, using the apparent velocity to represent the interface unit normal vector.

[0083] The working method of the system is the same as that of the gas-liquid two-phase flow parameter measurement method based on conductivity probe in Example 1, and will not be repeated here.

[0084] Example 3:

[0085] This embodiment provides a computer-readable storage medium storing a computer program that, when executed by a processor, implements the steps of the gas-liquid two-phase flow parameter measurement method based on a conductivity probe as described in Embodiment 1.

[0086] Example 4:

[0087] This embodiment provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the program, it implements the steps of the gas-liquid two-phase flow parameter measurement method based on conductivity probe described in Embodiment 1.

[0088] The above description is merely a preferred embodiment of this practice and is not intended to limit the scope of this practice. Various modifications and variations can be made to this practice by those skilled in the art. Any modifications, equivalent substitutions, or improvements made within the spirit and principles of this practice should be included within the protection scope of this practice.

Claims

1. A method for measuring parameters of gas-liquid two-phase flow based on a conductivity probe, characterized in that, include: The measurement process includes obtaining the time the conductivity probe is occupied by air, the total measurement time of the conductivity probe, the apparent velocity vector measured by the conductivity probe, and the interface normal velocity. The local gas content is calculated based on the ratio of the time the conductivity probe is occupied by air to the total measurement time of the conductivity probe; and the interface concentration is calculated by using the apparent velocity to represent the unit normal vector of the interface and the reciprocal of the absolute value of the product of the unit normal vector and the apparent velocity vector. The interface unit normal vector can be represented by three apparent velocities measured by the four-electrode probe. The interface unit normal vector is equal to the product of the differences between one of the apparent velocity vectors and the other two apparent velocity vectors, and then the absolute value of the product is taken. In the formula, n l The unit normal vector of the interface. V 1. V 2 and V 3 represent three apparent velocity vectors; When using the apparent velocity to represent the unit normal vector of the interface, if one electrode is selected as electrode 0, then the other three electrodes and electrode 0 together form three position vectors.

2. The method for measuring gas-liquid two-phase flow parameters based on a conductivity probe as described in claim 1, characterized in that, Measurements were performed using a four-electrode probe.

3. The method for measuring gas-liquid two-phase flow parameters based on a conductivity probe as described in claim 1, characterized in that, The apparent velocity vector is the ratio of the position vector to the time vector.

4. The method for measuring gas-liquid two-phase flow parameters based on a conductivity probe as described in claim 1, characterized in that, The magnitude of the interface velocity is obtained by multiplying the apparent velocity by the unit normal vector of the interface and then dividing the product of the interface's motion direction by the unit normal vector of the interface.

5. The method for measuring gas-liquid two-phase flow parameters based on a conductivity probe as described in claim 1, characterized in that, The angle between the interface direction and the axis of the conductive probe is obtained by taking the inverse cosine function of the ratio of the absolute value of the product of the unit normal vector of the interface and the unit normal vector of the conductive probe axis to the product of the unit normal vector of the interface and the unit normal vector of the conductive probe axis.

6. A gas-liquid two-phase flow parameter measurement system based on a conductivity probe, characterized in that, include: The data acquisition module is configured to: acquire the time the conductivity probe is occupied by air during the measurement process, the total measurement time of the conductivity probe, the apparent velocity vector measured by the conductivity probe, and the interface normal velocity; The parameter calculation module is configured to: calculate the local gas content based on the ratio of the time the conductivity probe is occupied by air to the total measurement time of the conductivity probe; and, using the apparent velocity to represent the interface unit normal vector, calculate the interface concentration based on the reciprocal of the absolute value of the product of the interface unit normal vector and the apparent velocity vector. The interface unit normal vector can be represented by three apparent velocities measured by the four-electrode probe. The interface unit normal vector is equal to the product of the differences between one of the apparent velocity vectors and the other two apparent velocity vectors, and then the absolute value of the product is taken. In the formula, n l The unit normal vector of the interface. V 1. V 2 and V 3 represent three apparent velocity vectors; When using the apparent velocity to represent the unit normal vector of the interface, if one electrode is selected as electrode 0, then the other three electrodes and electrode 0 together form three position vectors.

7. A computer-readable storage medium having a computer program stored thereon, characterized in that, When the program is executed by the processor, it implements the steps of the gas-liquid two-phase flow parameter measurement method based on a conductivity probe as described in any one of claims 1-5.

8. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the program, it implements the steps of the gas-liquid two-phase flow parameter measurement method based on conductivity probe as described in any one of claims 1-5.

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