CN113536507A - Jet pump design method based on theoretical model and CFD correction - Google Patents

Jet pump design method based on theoretical model and CFD correction Download PDF

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CN113536507A
CN113536507A CN202110855480.XA CN202110855480A CN113536507A CN 113536507 A CN113536507 A CN 113536507A CN 202110855480 A CN202110855480 A CN 202110855480A CN 113536507 A CN113536507 A CN 113536507A
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周良富
朱楠楠
周彬彬
施琦
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Nanjing Vocational University of Industry Technology NUIT
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Abstract

The invention discloses a jet pump design method based on theoretical model and CFD correction, which relates to the technical field of jet pumps, and comprises the steps of S1, calculating the pressure ratio h and the jet ratio q of the jet pump, S2, calculating the cross section area of a nozzle, S3, calculating the area ratio m, S4, calculating the distance S between the nozzle and a mixing chamber, S5, calculating other parameters according to given parameters and the size of three-end interfaces of the jet pump, S6, and further optimizing the structural parameters of the jet pump by adopting numerical simulation, aiming at the main structural parameters influencing the jet pump, adopting theoretical model and test coefficient method to determine a parameter model, and simultaneously adopting computational fluid mechanics simulation analysis method to capture the internal flow field of the jet pump, according to the design input of the pressure ratio, the jet ratio is calculated in a simulation mode and compared with a design value, the jet ratio has good coincidence, the design period is greatly shortened, and the design cost is reduced.

Description

Jet pump design method based on theoretical model and CFD correction
Technical Field
The invention belongs to the technical field of jet pumps, and particularly relates to a jet pump design method based on a theoretical model and CFD correction.
Background
The jet pump mainly comprises a jet nozzle 3, a receiving chamber 1, a diffusion pipe 4 and a suction pipe 2, and the flow passage of the diffusion pipe is divided into a mixing chamber 4-1 and a diffusion chamber 4-2 (shown in figure 1). The high pressure fluid is jetted out from the nozzle at high speed to suck away the air in the receiving chamber to generate vacuum, and the low pressure liquid is sucked into the receiving chamber under the action of atmospheric pressure, mixed with the high pressure fluid in the mixing chamber, boosted via the diffuser and fed into downstream pipeline or exhausted.
The jet pump has a simple structure, but the phase change of fluid and the change of flow field characteristics in the jet pump are quite complex, such as the phenomenon that the pressure and the speed change rapidly in the structural change process, the fluid generates phase change, noise and vibration and the like. Therefore, at present, no effective theoretical calculation method exists, and the design is completed mainly by a large amount of tests and experiences, so that the problems of long design period, high design cost and the like are caused.
Disclosure of Invention
The invention aims to provide a jet pump design method to overcome the defects in the existing design process.
1. Technical indexes are provided. The jet pump mainly transfers energy to low-pressure injection fluid by means of high-pressure working fluid, and finally discharges the low-pressure injection fluid at a certain pressure. Thus, its primary performance metrics include a pressure ratio h of:
Figure BDA0003183932470000011
the jet ratio q is:
Figure BDA0003183932470000012
in the formula Pp、Ps、PcRespectively representing the pressure of an inlet, a suction inlet and an outlet, Pa; qS、QPThe flow rate of the suction port and the mass flow rate of the working fluid are expressed in kg/s.
The aim of jet pump design is therefore to achieve higher jet ratios at lower pressure ratios, i.e. to save a lot of energy.
The main structural parameters affecting jet pumps are the nozzle outlet cross section, the mixing chamber inlet cross section and their mutual distance S.
2. The nozzle cross-sectional area is calculated as follows,
Figure BDA0003183932470000021
in the formula, QPIs the mass flow rate of the working fluid, unit kg/s, and the recommended speed coefficient value
Figure BDA0003183932470000029
。
3. Calculating the area ratio m
Figure BDA0003183932470000022
In the formula
Figure BDA0003183932470000023
Figure BDA0003183932470000024
A2 is the mixing chamber area;
in the jet pumpP＝υs＝υcAnd recommended speed factor
Figure BDA0003183932470000025
Figure BDA0003183932470000026
In the case of (2):
a＝0.975；b＝-[0.975+1.19×(1+q)2-0.78q2]；c＝1.19×(1+q)2
4. the nozzle to mixing chamber distance S is calculated.
The ratio of the fluid area at the inlet of the mixing chamber is shown in the figure, the high-pressure working fluid is sprayed out at high speed through the nozzle, the flow stream can be diffused at a certain angle, and the diameter d of the working fluid at the inlet of the mixing chamber is reachedsFitting according to the test data to obtain a calculation model as follows:
when the jet ratio q is less than or equal to 0.5:
Figure BDA0003183932470000027
when the jet ratio q is more than or equal to 0.5:
Figure BDA0003183932470000028
and (3) calculating flow:
generally speaking, two indexes of the pressure ratio and the jet ratio are one of design input parameters and the other is a performance parameter to be improved.
Calculating a pressure ratio and a jet ratio according to given parameters and expressions (1) and (2); a1 is calculated according to the formula (1) according to the pressure flow value of the working fluid, then the required area ratio is calculated according to the formula (4), and A2 can be calculated by combining A1. Calculate S from A2 as in (5)
The theoretical model can ensure that the performance parameters of the designed jet pump basically meet the design requirements. And further optimizing the structural parameters of the jet pump by adopting numerical simulation. The method comprises the following specific steps:
(1) geometric modeling and discretization.
And establishing a simulation geometric model according to the structural parameters determined by the internal model. Modeling the determined structural parameters of the jet pump in an ansys software ICEM module, and completing discretization of a calculation domain, wherein a quadrilateral mesh division scheme is required, the mesh interval is less than 0.2mm, and the maximum aspect ratio of the mesh is less than 2.5.
(2) And calculating the model.
The jet pump has simple working principle, but the internal flow rule is complex, particularly under the action of high pressure, the internal cavitation phenomenon of the jet pump occurs, bubbles in cavitation are generated, developed and broken, and the phenomenon is difficult to obtain visually by using a theory and a test method. The internal fluid turbulent flow process mainly adopts a model of RNG k-epsilon two-equation model.
(3) A boundary condition.
The three-end boundary of the jet pump adopts Pressure boundary condition-inlet, and the total Pressure of the mixed phase inlet is the actual working total Pressure value. The boundary turbulence intensity is set to be 2%, and the hydraulic diameter is the section diameter according to the actual size of three ends, namely the hydraulic diameter. The cavitation pressure sets the corresponding saturation vapor pressure, such as 3540Pa at 25 ℃, according to the temperature of the working fluid.
(4) And (5) solving the method.
A pressure-speed coupling solving algorithm is adopted, a pressure equation adopts second-order windward, other equations adopt QUICK method dispersion, calculation residual errors are set to be 1e-6, and Hybird Initialization is adopted for Initialization.
(5) Post-treatment
And evaluating the degree of cavitation through the volume fraction of the gas phase, and simultaneously monitoring the flow at the 3 ends to see whether the design requirements are met. If not, adjusting A2 or A1 value according to the formula.
The invention has the advantages that: the jet pump is simple in internal structure, but the internal flow process is complex, and a quantitative theoretical model is lacked for main structural parameters (area ratio and distance between a nozzle and a mixing chamber) influencing the performance of the jet pump, and the internal fluid flow and the phase change process are difficult to observe through a test method.
The invention mainly adopts a theoretical model and a test coefficient method to determine a parameter model, determines a theoretical calculation model of the main structural parameters of the jet pump, and simultaneously adopts a computational fluid mechanics method to capture the flow and phase change process of the fluid in the jet pump. According to the design input of the pressure ratio, the jet ratio is calculated in a simulation mode and compared with a design value, the jet ratio has good coincidence, the design period is greatly shortened, and the design cost is reduced.
Drawings
Fig. 1 is a schematic structural view of a conventional jet pump;
FIG. 2 shows the main structural parameters of the jet pump;
FIG. 3 is a diagram of cavitation capture within a jet pump;
fig. 4 shows the accuracy of the simulation analysis.
Wherein: a receiving chamber 1, a suction pipe 2, a jet nozzle 3, a diffusion pipe 4, a mixing chamber 4-1 and a diffusion chamber 4-2.
Detailed Description
In order to make the technical means, the creation characteristics, the achievement purposes and the effects of the invention easy to understand, the invention is further described with the specific embodiments.
1. Technical indexes are provided. The jet pump mainly transfers energy to low-pressure injection fluid by means of high-pressure working fluid, and finally discharges the low-pressure injection fluid at a certain pressure. Thus, its primary performance metrics include a pressure ratio h of:
Figure BDA0003183932470000041
the jet ratio q is:
Figure BDA0003183932470000042
in the formula Pp、Ps、PcRespectively representing the pressure of an inlet, a suction inlet and an outlet, Pa; qS、QPThe flow rate of the suction port and the mass flow rate of the working fluid are expressed in kg/s.
The aim of jet pump design is therefore to achieve higher jet ratios at lower pressure ratios, i.e. to save a lot of energy. Fig. 2 shows a schematic representation of the parameters in the jet pump of the present solution.
The main structural parameters affecting jet pumps are the nozzle outlet cross section, the mixing chamber inlet cross section and their mutual distance S.
2. The nozzle cross-sectional area is calculated as follows,
Figure BDA0003183932470000043
in the formula, QPIs the mass flow rate of the working fluid, unit kg/s, and the recommended speed coefficient value
Figure BDA0003183932470000058
。
3. Calculating the area ratio m
Figure BDA0003183932470000051
In the formula
Figure BDA0003183932470000052
Figure BDA0003183932470000053
A2 is the mixing chamber area;
in the jet pumpP＝υs＝υcAnd recommended speed factor
Figure BDA0003183932470000054
Figure BDA0003183932470000055
In the case of (2):
a＝0.975；b＝-[0.975+1.19×(1+q)2-0.78q2]；c＝1.19×(1+q)2
5. the nozzle to mixing chamber distance S is calculated.
The ratio of the fluid area at the inlet of the mixing chamber is shown in the figure, the high-pressure working fluid is sprayed out at high speed through the nozzle, the flow stream can be diffused at a certain angle, and the diameter d of the working fluid at the inlet of the mixing chamber is reachedsFitting according to the test data to obtain a calculation model as follows:
when the jet ratio q is less than or equal to 0.5:
Figure BDA0003183932470000056
when the jet ratio q is more than or equal to 0.5:
Figure BDA0003183932470000057
and (3) calculating flow:
generally speaking, two indexes of the pressure ratio and the jet ratio are one of design input parameters and the other is a performance parameter to be improved.
Calculating a pressure ratio and a jet ratio according to given parameters and expressions (1) and (2); a1 is calculated according to the formula (1) according to the pressure flow value of the working fluid, then the required area ratio is calculated according to the formula (4), and A2 can be calculated by combining A1. S was calculated from A2 in (5).
The calculation case is as follows:
the design input includes working pressure Pp 0.8MPa and working flow QP＝25m3Pressure p of the injection fluids0.1MPa, and an injection flow of 7.15m3H, outlet pressure 0.2 MPa.
Figure BDA0003183932470000061
The theoretical model can ensure that the performance parameters of the designed jet pump basically meet the design requirements. And further optimizing the structural parameters of the jet pump by adopting numerical simulation. The method comprises the following specific steps:
(1) geometric modeling and discretization.
And establishing a simulation geometric model according to the structural parameters determined by the internal model. Modeling the determined structural parameters of the jet pump in an ansys software ICEM module, and completing discretization of a calculation domain, wherein a quadrilateral mesh division scheme is required, the mesh interval is less than 0.2mm, and the maximum aspect ratio of the mesh is less than 2.5.
(2) And calculating the model.
The jet pump has simple working principle, but the internal flow rule is complex, particularly under the action of high pressure, the cavitation phenomenon occurs in the jet pump, bubbles in cavitation are generated, developed and broken, and the phenomenon is difficult to be obtained by a theory and a test method visually. The internal fluid turbulent flow process mainly adopts a model of RNG k-epsilon two-equation model.
(3) A boundary condition.
The three-end boundary of the jet pump adopts Pressure boundary condition-inlet, and the total Pressure of the mixed phase inlet is the actual working total Pressure value. The boundary turbulence intensity is set to be 2%, and the hydraulic diameter is the section diameter according to the actual size of three ends, namely the hydraulic diameter. The cavitation pressure sets the corresponding saturation vapor pressure, such as 3540Pa at 25 ℃, according to the temperature of the working fluid.
(4) And (5) solving the method.
A pressure-speed coupling solving algorithm is adopted, a pressure equation adopts second-order windward, other equations adopt QUICK method dispersion, calculation residual errors are set to be 1e-6, and Hybird Initialization is adopted for Initialization.
(5) Post-treatment
And evaluating the degree of cavitation through the volume fraction of the gas phase, and simultaneously monitoring the flow at the 3 ends to see whether the design requirements are met. If not, adjusting A2 or A1 value according to the formula. Fig. 4 shows the fitting of simulated values to experimental values.
It will be appreciated by those skilled in the art that the invention may be embodied in other specific forms without departing from the spirit or essential characteristics thereof. The embodiments disclosed above are therefore to be considered in all respects as illustrative and not restrictive. All changes which come within the scope of or equivalence to the invention are intended to be embraced therein.

Claims (4)

1. A jet pump design method based on theoretical model and CFD correction is characterized by comprising the following steps:
s1, calculating the pressure ratio h of the jet pump and the jet ratio q:
Figure FDA0003183932460000011
Figure FDA0003183932460000012
in the formula: pp、Ps、PcRespectively representing inlet pressure, suction inlet pressure and outlet pressure, and the unit is Pa; qS、QPRespectively representing the flow of a suction inlet and the mass flow of working fluid, and the unit is kg/s;
s2, calculating the sectional area of the nozzle:
Figure FDA0003183932460000013
in the formula: qPIs the mass flow rate of the working fluid in kg/s, and the recommended velocity coefficient value
Figure FDA0003183932460000014
S3, calculating the area ratio m:
Figure FDA0003183932460000015
in the formula:
Figure FDA0003183932460000016
Figure FDA0003183932460000017
a2 is the mixing chamber area;
in the jet pumpP＝υs＝υcAnd recommended speed factor
Figure FDA0003183932460000018
Figure FDA0003183932460000019
In the case of (2):
a＝0.975，b＝-[0.975+1.19×(1+q)2-0.78q2]，c＝1.19×(1+q)2；
s4, calculating the distance S between the nozzle and the mixing chamber:
the high-pressure working fluid is sprayed out at high speed through the nozzle, and then the flow beam is spread at a certain angle to reach the diameter d of the working fluid at the inlet of the mixing chambersFitting according to the test data to obtain a calculation model as follows:
when the jet ratio q is less than or equal to 0.5:
Figure FDA00031839324600000110
when the jet ratio q is more than or equal to 0.5:
Figure FDA0003183932460000021
s5, calculating a pressure ratio and a jet flow ratio according to given parameters and formulas (1) and (2), calculating A1 according to the formula (1) according to a pressure flow value of working fluid, calculating a required area ratio m according to a formula (4), calculating A2 by combining A1, calculating S according to A2 and designing and calculating other internal flow passage structural parameters of the jet pump according to the size of a three-end interface.
And S6, further optimizing the structural parameters of the jet pump by adopting numerical simulation.
2. The jet pump design method based on the theoretical model and the CFD correction according to claim 1, characterized in that: the step S6 further includes the following steps:
s6-1, geometric modeling and discretization
Establishing a simulation geometric model according to the structural parameters determined by the internal model, modeling the determined structural parameters of the jet pump in an ansys software ICEM module, and completing discretization of a calculation domain;
s6-2, calculation model
The method comprises the following steps of capturing cavitation inside a jet pump under the action of high pressure by adopting a Zwart-Gerber-Belamri cavitation model in a multiphase flow Mixture model, wherein the model mainly adopted in the turbulent flow process of internal fluid is an RNG k-epsilon two-equation model;
s6-3, boundary conditions
The boundary of the three ends of the jet pump adopts Pressure boundary condition Pressure-inlet, the total Pressure of the mixed phase inlet is the actual working total Pressure value, the boundary turbulence intensity is set to be 2%, the hydraulic diameter is the section diameter according to the actual size of the three ends, namely the hydraulic diameter, and the cavitation Pressure sets the corresponding saturated steam Pressure according to the temperature of the working fluid;
s6-4, solving method
Adopting a pressure-speed coupling solving algorithm, adopting a second-order windward pressure equation, adopting a QUICK method for dispersion of other equations, setting a calculation residual error to be 1e-6, and adopting Hybird Initialization for Initialization;
s6-5, post-treatment
And evaluating the cavitation degree through the gas-phase volume fraction, simultaneously monitoring the flow at the 3 end to see whether the design requirement is met, and if the design requirement is not met, adjusting the value of A2 or A1 according to the formula.
3. The jet pump design method based on the theoretical model and the CFD correction as claimed in claim 1, wherein the step S6-1 requires a quadrilateral mesh partition scheme, a mesh pitch is less than 0.2mm, and a mesh maximum aspect ratio is less than 2.5.
4. The jet pump design method based on theoretical model and CFD correction as claimed in claim 1, wherein the saturated vapor pressure of 3540Pa at 25 ℃ in step S6-3 is shown.
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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113946927A (en) * 2021-12-20 2022-01-18 中国地质大学（北京） Flow field design method for multi-metal nodule collecting head
CN114016487A (en) * 2021-11-16 2022-02-08 江苏科技大学 Submerged cavitation nozzle of bottom-sitting type wind power installation platform and design method thereof
CN115422684A (en) * 2022-09-26 2022-12-02 中国矿业大学 Drilling non-submerged jet fluidization mining process parameter design method
CN115841088A (en) * 2022-12-28 2023-03-24 南京农业大学 Three-dimensional special-shaped jet nozzle design method for farmland water-saving irrigation field

Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114016487A (en) * 2021-11-16 2022-02-08 江苏科技大学 Submerged cavitation nozzle of bottom-sitting type wind power installation platform and design method thereof
CN113946927A (en) * 2021-12-20 2022-01-18 中国地质大学（北京） Flow field design method for multi-metal nodule collecting head
CN115422684A (en) * 2022-09-26 2022-12-02 中国矿业大学 Drilling non-submerged jet fluidization mining process parameter design method
CN115422684B (en) * 2022-09-26 2024-05-07 中国矿业大学 Drilling non-submerged jet fluidization mining process parameter design method
CN115841088A (en) * 2022-12-28 2023-03-24 南京农业大学 Three-dimensional special-shaped jet nozzle design method for farmland water-saving irrigation field
CN115841088B (en) * 2022-12-28 2023-08-15 南京农业大学 Design method of three-dimensional special-shaped jet nozzle for farmland water-saving irrigation field
WO2023197795A1 (en) * 2022-12-28 2023-10-19 南京农业大学 Method for designing three-dimensional uniquely-shaped jet nozzle for field of water-saving farmland irrigation

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