A method for measuring and calculating the bubble viscosity field and pressure field

By simulating contaminated bubbles and measuring the flow field around the particles, the problem of measuring the viscosity and pressure field of clean bubbles in non-Newtonian fluids is solved, and the accurate characterization of these fields is achieved.

CN113962137BActive Publication Date: 2025-05-27CHANGZHOU UNIV
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Patent Information

Application Number
CN202111272426.9
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2021-10-29
Publication Date
2025-05-27
Estimated Expiration
2041-10-29

AI Technical Summary

Technical Problem

There are technical difficulties in accurately measuring the viscosity and pressure fields around clean motion bubbles at interfaces in non-Newtonian fluids, especially because tracer particles adsorb on the surface of the bubbles affect the interfacial properties, and the strong reflection of the bubbles increases the difficulty of speed measurement.

Method used

By using particles of the same diameter to simulate polluted bubbles, establish the Reynolds number relationship between particles of the same diameter and clean bubbles, measure the flow field around the fixed particles to characterize the flow field around the clean moving bubbles, and then calculate the viscosity field and pressure field.

Benefits of technology

The influence of tracer particles on the bubble interface properties is avoided, the impact of bubble reflection on measurement is reduced, and the accurate measurement of the viscosity and pressure fields around clean bubbles is achieved.

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Abstract

The present invention relates to the technical field of fluid measurement, and in particular to a method for measuring the viscosity field and pressure field of bubbles, including: S1, finding the relationship between the Reynolds numbers of clean bubbles and contaminated bubbles; S2, calculating the drag coefficient of clean bubbles and contaminated bubbles moving in a fluid; S3, respectively calculating the Reynolds numbers of clean bubbles and contaminated bubbles; S4, establishing the relationship between the Reynolds numbers of particles and clean bubbles; S5, measuring the velocity field around particles through a measuring device; S6, calculating the particle viscosity field; S7, calculating the particle pressure field. The present invention uses particles of the same diameter to simulate contaminated bubbles, and establishes the relationship between the Reynolds numbers of particles of the same diameter and clean bubbles according to the relationship between the Reynolds numbers of clean bubbles and contaminated bubbles; measures the flow field of the fluid passing around fixed particles to characterize the flow field around clean moving bubbles, and obtains the viscosity field and pressure field around clean moving bubbles according to fluid mechanics.
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Description

Technical Field

[0001] The present invention relates to the technical field of fluid measurement, and particularly to a method for measuring the viscosity field and pressure field of bubbles. Background Art

[0002] Non-Newtonian fluid bubbly flows widely exist in engineering fields such as petroleum, chemical engineering, mineral processing, biopharmaceuticals, and life sciences. Accurately measuring and understanding the distribution of the pressure field and viscosity field around bubbles is of great significance for understanding bubble dynamics. It is very difficult to directly measure the pressure field and viscosity field around moving bubbles. Therefore, with the help of fluid mechanics knowledge, the distribution of the pressure field and viscosity field around them can be obtained by measuring the velocity field around moving bubbles. For the accurate measurement of the velocity field around moving bubbles, a particle image velocimeter (PIV) can be used. However, the velocity measurement principle of the particle image velocimeter is to add micron-sized tracer particles to the flow field and use the velocity of the tracer particles to characterize the velocity of the fluid. Given that the particle size of the tracer particles is very small, as the clean interface bubbles move, some tracer particles will adsorb on the bubble surface, thus changing the interfacial properties of the bubbles and further affecting the hydrodynamic characteristics of the bubbles. Coupled with the strong specular reflection characteristics of actual moving bubbles, it greatly increases the difficulty of PIV velocity measurement. Therefore, accurately measuring the viscosity field and pressure field around clean interface moving bubbles in non-Newtonian fluids is a technical problem that must be addressed. Summary of the Invention

[0003] The technical problem to be solved by the present invention is: using particles of the same diameter to simulate contaminated bubbles, and then establishing the relationship between the Reynolds numbers of the same-diameter particles and clean bubbles according to the relationship between the Reynolds numbers of clean bubbles and contaminated bubbles; measuring the flow field of the fluid passing around the fixed particles to characterize the flow field around the clean moving bubbles, and then calculating the viscosity field and pressure field around the clean moving bubbles according to fluid mechanics knowledge.

[0004] The technical solution adopted by the present invention is: a method for measuring the viscosity field and pressure field of bubbles includes the following steps:

[0005] S1. Find the relationship between the Reynolds numbers of clean interface bubbles and contaminated interface bubbles with the same diameter. First, establish the relationship between the bubble Reynolds number Re b and the terminal upward floating velocity u b of the bubble. When the fluid is stationary, the relationship between Re b and u b is shown in formula (1):

[0006]

[0007] In the formula, d b is the bubble diameter, ρ f is the fluid density, ρ b is the bubble density, and C Dis the drag coefficient, g is the acceleration due to gravity, μ is the fluid viscosity, and Re b is the bubble Reynolds number;

[0008] First, the interfacial properties of clean-bubble interfaces and contaminated-bubble interfaces are different. The interface of a clean-bubble is a slip interface, while the interface of a contaminated-bubble is a non-slip interface. The difference in interfacial properties results in different drag forces on the two types of bubbles when they move in a fluid. When the diameters are the same, the drag force on a clean-bubble moving in a fluid is less than that on a contaminated-bubble. The difference in their motion drag forces leads to different terminal velocities. When the diameters are the same, the terminal upward floating velocity of a clean-bubble is greater than that of a contaminated-bubble. Therefore, the Reynolds numbers of the two types of bubbles are different, that is, the Reynolds number of a clean-bubble is greater than that of a contaminated-bubble;

[0009] S2. Calculate the drag coefficient C of clean-bubble interfaces and contaminated-bubble interfaces moving in a fluid D The drag coefficient of a clean-bubble interface is shown in Equation (2):

[0010]

[0011] The drag coefficient of a contaminated-bubble interface is shown in Equation (3):

[0012]

[0013] S3. Calculate the relationship between the Reynolds numbers of clean-bubble interfaces and contaminated-bubble interfaces;

[0014] Substitute Equation (2) into Equation (1) to calculate the Reynolds number Re of a clean-bubble interface b 干净 Regarding its physical property parameters d b , μ, ρ f , ρ b , g expressions, to obtain:

[0015]

[0016] Substitute Equation (3) into Equation (1) to calculate the Reynolds number Re of a contaminated-bubble interface b 污染 Regarding its physical property parameters d b , μ, ρ f , ρ b , g expressions, to obtain:

[0017]

[0018] From Equation (4) and Equation (5), the relationship between the Reynolds number of a clean-bubble interface and the Reynolds number of a contaminated-bubble interface is obtained, as shown in Equation (6):

[0019]

[0020] Among them, x is the ratio of the Reynolds number of the clean interface bubble to the Reynolds number of the contaminated interface bubble;

[0021] To measure the viscosity field and pressure field around a bubble with Reynolds number Re b 干净 For the viscosity field and pressure field around a clean interface bubble, it is only necessary to measure the viscosity field and pressure field around a contaminated interface bubble with a Reynolds number that is 1 / x times that of the clean bubble Reynolds number;

[0022] S4. Use particles of the same diameter to simulate contaminated bubbles, establish the relationship between the Reynolds number of particles of the same diameter and the Reynolds number of clean bubbles. The Reynolds number formula for particles of the same diameter is Re p = ρd p U / μ 0 ;

[0023] In the formula, Re p represents the particle Reynolds number; ρ represents the density, kg / m 3 ; d p represents the particle diameter, mm; U represents the velocity, m / s; μ 0 represents the zero-shear viscosity of the fluid, Pa·s;

[0024] To measure the viscosity field and pressure field around a contaminated interface bubble, considering that the interface properties of the contaminated bubble are the same as those of the particle, both are non-slip interfaces, and the perturbation generated by the floating of the contaminated bubble with the same diameter in the fluid is the same as the perturbation generated by the descent of the particle with the same diameter in the fluid, so the particle can be used to replace the contaminated interface bubble; considering that the flow field around the particle moves with it when the particle moves, it is not easy to measure the flow field around the moving particle when the PIV camera is stationary, and it is too complicated to operate if the camera moves with the particle, so the particle is made stationary and the fluid flows past the particle in the form of a uniform parallel flow; for a given particle with the same diameter, to measure the flow field at a given Reynolds number, in order to facilitate fixing the particle, according to the Reynolds number formula Re p = ρd p U / μ 0 the particle diameter d p is enlarged, and the particle velocity U, which is the fluid velocity, decreases accordingly. This not only facilitates fixing the particle but also reduces the influence of the steel needle for fixing the particle on the flow field near the particle;

[0025] S5. Measure the velocity field around the particle with Reynolds number Re p through the measuring device;

[0026] S6. Calculate the viscosity field around the particle according to the velocity field around the particle;

[0027] Solve the strain rate tensor from formula (9), and find the second invariant Ⅱ of the strain rate tensor from formula (10)2D ;

[0028]

[0029]

[0030] where γ ij is the strain rate tensor, where i is the normal of the acting surface and j represents the true direction; x, y, and z represent different coordinate directions respectively.

[0031] Substitute it into the constitutive equation (11) to find the viscosity:

[0032]

[0033] where μ ∞ is the infinite shear viscosity, μ 0 is the zero shear viscosity of the fluid. Both the infinite shear viscosity and the zero shear viscosity can be measured by a rotational rheometer. m is the rheological index, and its value depends on the properties of the liquid phase itself. The rheological index of a shear-thinning fluid is less than 1, and the smaller the rheological index, the stronger the shear-thinning effect; η represents viscosity; by finding the viscosity η at each point in the flow field around the particle, the viscosity field around the particle can be obtained;

[0034] S7. Calculate the pressure field around the particle according to the viscosity field around the particle and the particle Reynolds number Re p ;

[0035] Find the relationship between the stress τ, the strain γ, and the viscosity from equations (12) and (13):

[0036]

[0037]

[0038] Substitute the result of the stress τ i,j into the momentum equation formula (14) to obtain formula (15):

[0039]

[0040]

[0041] Take the divergence of the pressure gradient vector field to obtain the pressure Poisson equation (16):

[0042]

[0043] Substitute equation (15) into equation (16), and thus obtain the pressure field. The calculation process is as follows:

[0044]

[0045] Further, the Reynolds number is measured as Re p The steps for the velocity field around the particle are as follows:

[0046] S51. First, fix the particle with a measuring device, and analyze it separately with an opaque fluid and a transparent fluid around the fixed particle;

[0047] S52. When an opaque fluid passes around the fixed particle, use an ultrasonic velocity profiler to measure only the velocity in the y-axis direction of the particle. Perform filtering processing using FFT and POD, and utilize the Taylor frozen hypothesis to convert the function of the measured velocity v in the y-direction at a point with respect to time t into a function with respect to distance. That is, substitute the function of the velocity with respect to distance obtained according to the Taylor frozen hypothesis formula (7) into the continuity equation formula (8) to obtain the velocity u(x, y) in the x-direction, that is, obtain the fluid velocity field near the particle;

[0048] v(x, y) = v(x 0 -U s ·t, y) (7)

[0049]

[0050] S53. When a transparent fluid passes around the fixed particle, use PIV for measurement to directly obtain the change in the velocity of the tracer particles near the rigid sphere particle in the x-direction and y-direction with respect to distance, and obtain the fluid velocity field near the particle;

[0051] Further, the measuring device includes a water storage tank, a water pump, a turbine flowmeter, an inlet rectifier, and a measuring channel body. The bottom of the water storage tank is connected to the water inlet of the water pump through a water pipe, the water outlet of the water pump is connected to the inlet of the turbine flowmeter through a water pipe, the outlet of the flowmeter is connected to the inlet rectifier through a water pipe, the inlet rectifier is connected to the inlet of the measuring channel body through a flange, and the outlet of the measuring channel body is connected to the water storage tank through a water pipe; a perforated tube plate is arranged between the measuring channel body and the outlet of the inlet rectifier. When the fluid passes through the measuring channel body through the perforated tube plate, a uniform parallel flow is formed to improve the measurement accuracy;

[0052] Further, the measuring channel body includes an inlet stabilizing section channel, a measuring section channel, an outlet section channel, and an outlet box that are connected to each other through flanges. The inlet rectifier is connected to the inlet stabilizing section channel through a flange, and the outlet box is connected to the water storage tank through a water pipe; a fixed steel needle is arranged in the middle of the measuring section channel. Both ends of the fixed steel needle are fixed on the two parallel plane walls of the measuring section channel through threads to avoid blocking, which is beneficial for the laser generator to observe the particle; the fixed steel needle adopts a square structure to prevent the particle from rotating and affecting the measurement result; the channel of the measuring section channel adopts a square channel, which is convenient for the measurement of PIV equipment.

[0053] Furthermore, the channel width of the measurement section is greater than 64 times the particle diameter to avoid the influence of wall effects on the measurement results.

[0054] First, a centrifugal pump is used to extract the fluid from the water storage tank, and the fluid is made to flow through the flow rectifying plate at the measured flow field velocity U to ensure that the fluid entering the flow field is a uniform parallel flow. Then, it passes through the inlet section channel. After ensuring the stability of the flow field, it flows into the measurement section channel, where PIV is used to measure the flow field velocity near the particles. Then, the fluid flows out of the measurement section channel, passes through the outlet section channel, and flows back into the water storage tank again.

[0055] The beneficial effects of the present invention are as follows:

[0056] 1. By measuring the flow field around fixed particles to characterize the flow field around clean moving bubbles, it avoids the influence of tracer particles added to the fluid on the interface properties of clean bubbles at the interface, thus affecting the measurement results, and also avoids the damage of the strong reflection of bubbles to the instrument during actual operation;

[0057] 2. According to the Reynolds number formula, the diameter of the particles can be arbitrarily adjusted. Increasing the particle diameter is more conducive to fixing the particles, and at the same time, it reduces the influence of the fixing steel needle on the flow field near the particles;

[0058] 3. The fluid forms a uniform parallel flow when passing through the measurement channel body through the inlet rectifier and the porous tube plate; square thin steel needles are used to fix the particles to prevent the rotation of the particles from affecting the measurement results;

[0059] 4. The channel width of the measurement section 8 is greater than 64 times the particle diameter to avoid the influence of wall effects on the measurement results. Description of the Drawings

[0060] Figure 1 is a flowchart of the method for calculating the bubble viscosity field and pressure field of the present invention;

[0061] Figure 2 is a system connection diagram of the measurement device of the present invention;

[0062] Figure 3 is a schematic structural diagram of the measurement device of the present invention;

[0063] Figure 4 is a structural diagram of the measurement section channel of the present invention;

[0064] Figure 5 is a structural diagram of the fixing steel needle in the measurement section channel of the present invention;

[0065] Among them, 1. Water storage tank, 2. Water pump, 3. Turbine flowmeter, 4. Inlet rectifier, 5. Porous tube plate, 6. Connecting flange, 7. Inlet stable section channel, 8. Measurement section channel, 9. Outlet section channel, 10. Outlet box, 11. Fixing steel needle. Detailed implementation mode

[0066] The present invention will be further described below in conjunction with the accompanying drawings and embodiments. This figure is a simplified schematic diagram, which only illustrates the basic structure of the present invention in a schematic manner. Therefore, it only shows the components related to the present invention.

[0067] As Figure 1 shown, a method for measuring the bubble viscosity field and pressure field includes the following steps:

[0068] S1. Find the relationship between the Reynolds numbers of clean interface bubbles and contaminated interface bubbles with the same diameter. First, establish the relationship between the bubble Reynolds number Re b and the terminal upward floating velocity u b of the bubble. When the fluid is stationary, the relationship between Re b and u b is shown in formula (1):

[0069]

[0070] In the formula, d b is the bubble diameter, ρ f is the fluid density, ρ b is the bubble density, C D is the drag coefficient, g is the acceleration due to gravity, μ is the fluid viscosity, and Re b is the bubble Reynolds number;

[0071] In this embodiment, when measuring the viscosity field and pressure field around a clean interface bubble with a diameter of 1 mm moving in a shear-thinning liquid, the density ρ f of the liquid is known to be 1000 kg / m 3 , the zero-shear viscosity μ 0 is 0.001 kg / m·s, the bubble density ρ b is ignored, and the acceleration due to gravity g is 9.81 m / s 2 ;

[0072] S2. Calculate the drag coefficient C D of the clean interface bubble and the contaminated interface bubble moving in the fluid. The drag coefficient of the clean interface bubble is shown in formula (2):

[0073]

[0074] The drag coefficient of the contaminated interface bubble is shown in formula (3):

[0075]

[0076] S3. Calculate the relationship between the Reynolds numbers of the clean interface bubble and the contaminated interface bubble;

[0077] Substitute Equation (2) into Equation (1) to calculate the Reynolds number Re of a clean interface bubble b 干净 Regarding its physical property parameters d b 、μ、ρ f 、ρ b 、g's expressions, we get:

[0078]

[0079] Substitute Equation (3) into Equation (1) to calculate the Reynolds number Re of a contaminated interface bubble b 污染 Regarding its physical property parameters d b 、μ、ρ f 、ρ b 、g's expressions, we get:

[0080]

[0081] From Equation (4) and Equation (5), we obtain the relationship between the Reynolds number of a clean interface bubble and that of a contaminated interface bubble, as shown in Equation (6):

[0082]

[0083] where x is the ratio of the Reynolds number of a clean interface bubble to that of a contaminated interface bubble;

[0084] To measure the Reynolds number Re b 干净 the viscosity field and pressure field around a clean interface bubble, we only need to measure the viscosity field and pressure field around a contaminated interface bubble with a Reynolds number that is 1 / x times that of a clean bubble;

[0085] First, substitute the drag coefficient formula of a clean interface bubble in Equation (2) into Equation (1) to obtain the Reynolds number expression (17) of a clean interface bubble:

[0086]

[0087] Then, substitute the drag coefficient formula of a contaminated interface bubble in Equation (3) into Equation (1) to obtain the Reynolds number expression (18) of a contaminated interface bubble. Here, for easy distinction, we directly use Re p to represent Re b 污染

[0088]

[0089] By solving Equations (17) and (18), we obtain the proportional relationship formula (19) between the Reynolds number of a clean interface bubble and that of a contaminated interface bubble

[0090] Re b= 2.76Re p (19)

[0091] S4. Use particles of the same diameter to simulate interfacial contamination bubbles, establish the relationship between the Reynolds number of particles of the same diameter and the Reynolds number of clean bubbles. The Reynolds number formula for particles of the same diameter is Re p = ρd p U / μ 0 , so to measure the viscosity field and pressure field around an interfacial clean bubble with a Reynolds number of Re b 干净 , it is only necessary to measure the viscosity field and pressure field around particles with a Reynolds number of Re p ;

[0092] S5. Use a measuring device to measure the velocity field around particles with a Reynolds number of Re p ;

[0093] S6. Calculate the viscosity field around the particles according to the velocity field around the particles;

[0094] S7. Calculate the pressure field around the particles according to the viscosity field around the particles and the particle Reynolds number Re p ;

[0095] S53. When a transparent fluid passes around a fixed particle, use PIV for measurement to directly obtain the change in the velocity of the tracer particles in the x-direction and y-direction with respect to the distance near the rigid sphere particle, and obtain the fluid velocity field near the particle;

[0096] As Figure 2 shown in the connection diagram of the measuring device system, by adding tracer particles to the flow field, then using a laser generator to illuminate the flow field, and then using a high-speed camera to collect the images, the flow field result diagram near the particle is obtained.

[0097] The measuring device, as Figure 3 shown, includes a water storage tank 1, a water pump 2, a turbine flowmeter 3, an inlet rectifier 4, and a measuring channel body. The bottom of the water storage tank 1 is connected to the inlet of the water pump 2 through a water pipe. The outlet of the water pump 2 is connected to the inlet of the turbine flowmeter 3 through a water pipe. The outlet of the flowmeter 3 is connected to the inlet rectifier 4 through a water pipe. The inlet rectifier 4 is connected to the inlet of the measuring channel body through a flange 6. The outlet of the measuring channel body is connected to the water storage tank 1 through a water pipe. A perforated tube sheet 5 is provided between the measuring channel body and the outlet of the inlet rectifier 4, so that a uniform parallel flow is formed when the fluid passes through the measuring channel body through the perforated tube sheet 5. The measuring channel body includes an inlet stabilizing section channel 7, a measuring section channel 8, an outlet section channel 9, and an outlet box 10 that are connected to each other through a flange 6. The inlet rectifier 4 is connected to the inlet stabilizing section channel 7 through a flange 6. The outlet box 10 is connected to the water storage tank 1 through a water pipe; As Figure 4As shown, a fixed steel needle 11 is arranged in the middle of the measuring section channel 8. Both ends of the fixed steel needle 11 are fixed on the two parallel plane walls of the measuring section channel 8 by threads, avoiding blocking the laser and being beneficial to the observation of particles by a high-speed camera; as Figure 5 shown, the fixed steel needle 11 adopts a square structure to prevent the rotation of particles from affecting the measurement results; the channel of the measuring section channel 8 adopts a square channel, which is convenient for the measurement of PIV equipment;

[0098] Furthermore, the channel width of the measuring section channel 8 is greater than 64 times the particle diameter, avoiding the influence of wall effects on the measurement results.

[0099] Enlightened by the ideal embodiments of the present invention described above, through the above description, relevant staff can completely make various changes and modifications without departing from the technical idea of the present invention. The technical scope of the present invention is not limited to the content in the specification, and its technical scope must be determined according to the scope of the claims.

Claims

1. A method for measuring and calculating the bubble viscosity field and pressure field, characterized in that, it includes the following steps: S1. Find the relationship between the Reynolds numbers of clean-bubble and contaminated-bubble interfaces with the same diameter, and establish the relationship between the bubble Reynolds number Re b and the bubble rising velocity u b ; S2. Calculate the drag coefficient C of clean interface bubbles and contaminated interface bubbles moving in the fluid D ; S3. Calculate the relationship formula of the Reynolds numbers of clean-interface bubbles and contaminated-interface bubbles; Calculate the clean bubble Reynolds number Re b 干净 Regarding its physical property parameters d b , μ, ρ f , ρ b , the expressions for g are: where d b is the bubble diameter, ρ f is the fluid density, ρ b is the bubble density, g is the acceleration due to gravity, and μ is the fluid viscosity; Calculate the Reynolds number Re of the interfacial contamination bubbles b 污染 Regarding its physical property parameters d b , μ, ρ f , ρ b , and the expressions for g: The relationship between the Reynolds number of clean-interface bubbles and the Reynolds number of contaminated-interface bubbles is obtained through Formula (4) and Formula (5), as shown in Formula (6): where x is the ratio of the Reynolds number of clean-interface bubbles to the Reynolds number of contaminated-interface bubbles; S4. Use particles of the same diameter to simulate contaminated bubbles, establish the relationship between the Reynolds number of particles of the same diameter and the Reynolds number of clean bubbles. The Reynolds number formula for particles of the same diameter is Re p = ρd p U / μ 0 , and thus obtain the Reynolds number of clean bubbles, that is, Re b 干净 = xRe p ; where Re p represents the particle Reynolds number; ρ represents the density, kg / m 3 ; d p represents the particle diameter, mm; U represents the velocity, m / s; μ 0 represents the zero-shear viscosity of the fluid, Pa·s; S5. Measure the Reynolds number Re with a measuring device p the velocity field around the particle; S6. Calculate the viscosity field around the particles according to the velocity field around the particles; Solve the strain rate tensor and the second invariant Ⅱ of the strain rate tensor 2D ; Substitute into the constitutive equation to obtain the viscosity η; where μ ∞ is the infinite shear viscosity, μ 0 is the zero shear viscosity of the fluid, and m is the flow index; S7. Calculate the pressure field around the particle based on the viscosity field around the particle and the particle Reynolds number Re p Calculate the pressure field around the particle; Find the relationship between the stress τ, the strain γ, and the viscosity: Substitute the result of the stress τ i,j into the momentum equation formula; take the divergence of the pressure gradient vector field to obtain the pressure Poisson equation (16):

2. The method for measuring and calculating the bubble viscosity field and pressure field according to Claim 1, characterized in that, The Reynolds number in step S5 is Re p The measurement of the velocity field around the particles includes the following steps: S51. First, fix the particles through a measuring device, and perform fluid velocity field analysis around the fixed particles respectively through an opaque fluid and a transparent liquid; S52. When an opaque fluid passes around the fixed particles, perform filtering processing by using FFT and POD, and utilize the Taylor frozen hypothesis to convert the function of the velocity v in the y direction at a certain point measured with respect to time t into a function with respect to distance, and obtain the fluid velocity field velocity u(x, y) near the particles according to the Taylor frozen hypothesis; S53. When a transparent fluid passes around the fixed particles, use the PIV method for measurement, directly obtain the change amounts of the velocities of the tracer particles near the rigid spherical particles in the x direction and the y direction with respect to distance, and obtain the fluid velocity field near the particles.

3. The method for measuring and calculating the bubble viscosity field and pressure field according to Claim 1, characterized in that, the measuring device in S5 includes: a water storage tank (1), a water pump (2), a turbine flowmeter (3), an inlet rectifier (4) and a measuring channel body. The bottom of the water storage tank (1) is communicated with the water inlet of the water pump (2) through a water pipe, the water outlet of the water pump (2) is communicated with the inlet of the turbine flowmeter (3) through a water pipe, the outlet of the turbine flowmeter (3) is communicated with the inlet rectifier (4) through a water pipe, the inlet rectifier (4) is communicated with the inlet of the measuring channel body through a flange (6), and the outlet of the measuring channel body is communicated with the water storage tank (1) through a water pipe; a perforated pipe plate (5) is arranged at the connection between the inlet of the measuring channel body and the outlet of the inlet rectifier (4), and the fluid forms a uniform parallel flow when passing through the measuring channel body through the perforated pipe plate (5).

4. The method for measuring and calculating the bubble viscosity field and pressure field according to Claim 3, characterized in that: the measuring channel body includes an inlet stabilizing section channel (7), a measuring section channel (8), an outlet section channel (9) and an outlet box (10) that are communicated with each other through the flange (6). The inlet rectifier (4) is communicated with the inlet stabilizing section channel (7) through the flange (6), and the outlet box (10) is communicated with the water storage tank (1) through a water pipe; a fixed steel needle (11) is arranged in the middle of the measuring section channel (8), and both ends of the fixed steel needle (11) are fixed on the two parallel plane walls of the measuring section channel (8) through threads; the fixed steel needle (11) adopts a square structure; the measuring section channel (8) adopts a square channel.

5. The method for measuring and calculating the bubble viscosity field and pressure field according to Claim 4, Characterized in that: The channel width of the measurement section channel (8) is greater than 64 times the particle diameter.

Citation Information

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