CN117408190B - CFD-based analysis method and system for optimal distance between impellers of stirrer - Google Patents

CFD-based analysis method and system for optimal distance between impellers of stirrer Download PDF

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CN117408190B
CN117408190B CN202311720242.3A CN202311720242A CN117408190B CN 117408190 B CN117408190 B CN 117408190B CN 202311720242 A CN202311720242 A CN 202311720242A CN 117408190 B CN117408190 B CN 117408190B
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杜沁熹
陈斌
杨陈
许智
张伟
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Nanjing University of Information Science and Technology
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Abstract

The invention discloses a CFD-based method and a CFD-based system for analyzing the optimal distance between stirrer impellers, which are used for researching the influence of the distance between the stirrer impellers on the coagulation process. According to the invention, the installation position interval of the stirrer impellers is analyzed to obtain the optimal interval of the stirrer impellers at a specific rotating speed, so that the turbulence energy of fluid is improved, the coagulation effect is improved, and the quality of effluent is improved.

Description

CFD-based analysis method and system for optimal distance between impellers of stirrer
Technical Field
The invention relates to a CFD-based analysis method and system for optimal distance between impellers of a stirrer, and belongs to the technical field of coagulation stirring.
Background
"coagulation" is the most important process in conventional water treatment and can be divided into "mixing" and "flocculation" processes. The quality of the coagulation effect is mainly determined by the following two factors: (1) The self-characteristics of the coagulant determine the bonding capacity of adsorption bridging of the polymer concrete body generated after the coagulant is hydrolyzed; (2) The kinetic conditions of the coagulation device determine the probability of collision of the tiny particles and their impact effect. The mixer is a device commonly used in the coagulation process for uniformly dispersing the chemical coagulant into the wastewater, so that the chemical coagulant and the wastewater are fully mixed and reacted to promote the suspension particles to be aggregated efficiently. The flow making of the mixer is the key for determining the coagulation effect, so that the form and the size of the mixing impeller are properly selected, the hydraulic model of the mixing impeller is continuously optimally designed, and the best dynamic condition is very important to be discussed.
In the current coagulation process, a paddle type stirrer is mostly adopted for fluid mixing, wherein two paddle impellers are arranged on the same stirring shaft at a certain interval, and the method is widely applied. At present, the researches mainly focus on the geometric dimensions of impellers, the angles of the blades, the shape of a container and the like, and have little record on the influence of the interval between two impellers on the coagulation process. In actual engineering, most of the mixers in the mixing area of the efficient sedimentation tank are directly installed through experience, theoretical support on the installation space of the mixers is lacking, and the influence of the space of the mixers on the turbulent kinetic energy of fluid is ignored.
Turbulent energy is a concept in fluid mechanics to describe the kinetic energy a fluid has in turbulent flow conditions, which is generally related to irregular, chaotic and highly nonlinear vortex strengths. Generally, in the coagulation reaction process, the larger the turbulence energy value in the flow field is, the stronger the turbulence energy is, and the more favorable the mixed chemical reaction of solid-liquid components in sewage is.
Disclosure of Invention
The invention aims to overcome the defects in the prior art, and provides a CFD-based method and a CFD-based system for analyzing the optimal distance between the impellers of a stirrer, which are based on computational fluid dynamics, so that the optimal distance between the impellers of the stirrer at a specific rotating speed is obtained, the turbulence energy of fluid is improved, the coagulation effect is improved, and the water quality of effluent is improved.
In order to achieve the above purpose, the invention is realized by adopting the following technical scheme:
in one aspect, the invention provides a method for analyzing optimal spacing of impellers of a mixer based on CFD, comprising the steps of:
s1, modeling a mixer in a coagulation area and a mixing area of the efficient sedimentation tank to obtain a calculation domain model.
S2, performing polyhedral grid division processing on the calculation domain model, and obtaining a grid model through grid independence verification.
S3, performing constant value calculation on the grid model, establishing a fluid control equation, and calling a K-Epsilon turbulence model to obtain the average turbulence energy of the stirrer under the impeller spacing.
S4, changing the impeller spacing of the stirrer, and repeating the steps S1-S3 to obtain the average turbulence energy under different impeller spacing of the stirrer.
And S5, fitting the impeller spacing of the stirrer in the coagulation zone and the average turbulence energy corresponding to the impeller spacing of the stirrer to obtain a multiple linear regression equation of the impeller spacing of the stirrer and the average turbulence energy.
And S6, obtaining the optimal distance between the impellers of the stirrer according to a multiple linear regression equation of the distance between the impellers of the stirrer and the average turbulence energy.
And S7, changing the rotating speed, and repeating the steps S3-S6 to obtain the optimal distance between the impellers of the stirrer at different rotating speeds.
And S8, fitting the rotating speed and the average turbulence energy corresponding to the rotating speed to obtain a rotating speed-optimal interval equation.
And S9, determining the optimal distance between the corresponding stirrer impellers at a specific rotating speed according to a rotating speed-optimal distance equation.
Furthermore, the modeling adopts three-dimensional modeling software, and the calculation domain model needs to restore the size of the coagulation area of the efficient sedimentation tank and the prototype of the stirrer in the coagulation area.
Further, performing polyhedral mesh division processing on the computational domain model, and obtaining a mesh model through mesh independent verification, including:
the space in the computational domain model is divided into a plurality of regions and nodes for each region are determined.
And carrying out grid local encryption processing on the key area.
And performing grid-independent verification on the computational domain model to obtain a grid model.
Further, the critical area includes the blender blade, the impeller hub, and the dynamic and static interface.
Further, step S3 also includesSetting a rotating reference frame, setting the reference pressure as standard atmospheric pressure, setting a steady-state convergence standard to be that the RMS value of a residual curve is less than 1 multiplied by 10 -4 The turbulence specifying method was set to an intensity+length ratio, the initial turbulence intensity was set to 0.05, and the turbulence length ratio was set to 0.1.
Further, the fluid control equations include a continuity equation, a momentum equation, and an energy equation.
Further, the expression of the fluid transport equation adopted by the K-Epsilon turbulence model is as follows:
，
wherein,，/>the velocity fields are respectively +.>Direction and->Velocity component in direction, +.>Is->Coordinate component in direction, +_>Is->Coordinate component in direction, +_>Is fluid density, ++>Is vortex viscosity coefficient>In the form of a turbulent viscosity,for turbulent energy->Is (are) generated item->For turbulent dissipation rate->、/>Is a constant term->To calculate the constant +.>For turbulent energy->Is>For turbulent dissipation rate->Is a turbulent planter number; />Representation pairAt->Direction deviation guide, ->Representing the turbulence energy at->The deflection is calculated in the direction, and the deflection is calculated in the direction,indicating a dissipation ratio for turbulence of +.>Direction deviation guide, ->Representation pair->The velocity component in the direction is +.>Direction deviation guide, ->Representation pair->The velocity component in the direction is +.>And (5) deviation in the direction is obtained.
Further, the expression of the multiple linear regression equation of the impeller spacing and the average turbulence energy of the stirrer is as follows:
，
wherein,for the average turbulence energy of the coagulation zone +.>For the impeller spacing of the stirrer>Is polynomial coefficient +.>Representing the order->Taking a constant.
Further, the expression of the rotation speed-optimal distance equation is:
，
wherein,for the impeller spacing of the stirrer>For the rotational speed of the stirrer>Is polynomial coefficient +.>The number of orders is represented and,taking a constant.
In another aspect, the invention also provides an analysis system for the optimal distance between the impellers of the stirrer based on CFD, which comprises a processor and a storage medium.
The storage medium is used for storing instructions;
the processor is operative according to the instructions to perform the steps of the method according to any one of the preceding claims.
Compared with the prior art, the invention has the beneficial effects that:
the invention analyzes the position interval of the mixer impeller in the coagulation reaction based on the CFD technology, and obtains the optimal interval of the mixer impeller under the condition of the same other rotation conditions, thereby improving the turbulence energy of fluid, improving the coagulation effect and improving the quality of effluent.
The invention takes the rotating speed as a judging standard, and can more directly and clearly determine the optimal distance between the corresponding stirrer impellers at a specific rotating speed. The directivity can be provided for the offline experiments through CFD simulation, the current situation that the impeller spacing is set by experience in engineering is changed, the offline sewage treatment effect can be intuitively reflected, and a new solution is provided for reasonably and efficiently determining the impeller spacing of the stirrer.
Drawings
FIG. 1 is a flow chart of a CFD calculation for a method of analyzing an optimum pitch of a stirrer impeller based on CFD according to an embodiment of the present invention;
FIG. 2 is a schematic three-dimensional structure of a coagulation zone of a high-efficiency sedimentation tank and a stirrer in the coagulation zone according to an embodiment of the present invention;
FIG. 3 is a graph of turbulent energy cloud for a stirrer impeller at 0.7,1.5,2.3 m impeller spacing for the same rotational speed in an embodiment of the present invention;
FIG. 4 is a graph showing a fitted curve of impeller spacing versus turbulence energy for a mixer in a coagulation zone at a rotational speed of 80rpm in an embodiment of the invention;
FIG. 5 is a graph showing a fitted curve of stirrer rotation speed versus stirrer impeller spacing at different stirrer rotation speeds in a coagulation zone of a high-efficiency sedimentation tank in accordance with one embodiment of the present invention.
Description of the embodiments
The invention is further described below with reference to the accompanying drawings. The following examples are only for more clearly illustrating the technical aspects of the present invention, and are not intended to limit the scope of the present invention.
Embodiment one:
as shown in fig. 1, an embodiment of the present invention provides a method for analyzing an optimal pitch of an impeller of a CFD-based stirrer, including the steps of:
s1, modeling the high-efficiency sedimentation tank coagulation area and a stirrer in the coagulation area through three-dimensional modeling software to obtain a calculation domain model, wherein the calculation domain model is required to restore the size of the high-efficiency sedimentation tank coagulation area and a prototype of the stirrer in the coagulation area. Fig. 2 is a schematic three-dimensional structure of the coagulation area of the efficient sedimentation tank and the stirrer in the coagulation area.
S2, processing the calculation domain model through polyhedral mesh division, and specifically:
the space in the computational domain model is divided into a plurality of regions and nodes for each region are determined. In order to ensure the accuracy of numerical calculation, grid local encryption processing is carried out on key areas such as blades, impeller hubs and the like, and finally grid independent verification is carried out on a calculation domain model, so as to obtain a grid model.
S3, performing constant value calculation on the grid model, and firstly setting a rotation reference system, wherein the rotation speeds of the two impellers are always the same as each other because the two impellers are arranged on the same stirring shaft. The reference pressure is set to be the standard atmospheric pressure, and the steady-state convergence standard is set to be that the residual curve RMS value is less than 1 multiplied by 10 -4 The turbulence was specified as intensity + length ratio, the initial turbulence intensity was set to 0.05, and the turbulence length ratio was 0.1.
Establishing a fluid control equation, wherein the fluid control equation comprises a continuity equation, a momentum equation and an energy equation, and the continuity equation and the momentum equation are specifically as follows:
continuity equation:
，
x、y 、zmomentum equation in direction:
，
wherein,is a vector operator in a Cartesian coordinate system, < ->For velocity vector, +.>Constituting the migration derivative, physically representing the flow caused by movement of fluid micro-clusters from one point to another in the flow fieldTime rate of change due to field-space inhomogeneity, < >>，/>，/>Respectively representing the fluid velocity atx，y，zComponent in direction, +_>Representing the volumetric force acting on a unit mass of fluid micro-massx，y，zThe force components in the direction are respectively +.>，/>，/>A representation; />Is the vortex viscosity coefficient; />，/>Representing density and static pressure, respectively; />Indicating that density is biased against time, +.>Indicating that the fluid velocity is biased in the x-direction,/->The fluid velocity is atyDeviation in direction +.>Indicating that the fluid velocity is atzDirection deviation guide, ->Representation ofxAcceleration in the direction, ++>Representation ofyAcceleration in the direction, ++>Representation ofzAcceleration in the direction, ++>Indicating that the pressure is atxDirection deviation guide, ->Indicating that the pressure is atyDirection deviation guide, ->Indicating that the pressure is atzAnd (5) deviation in the direction is obtained.
The turbulence model calls a K-Epsilon turbulence model, and the expression of the fluid transport equation is as follows:
，
wherein,，/>for the velocity field +.>Direction and->Velocity component in direction, +.>Is->Coordinate component in direction, +_>Is->Coordinate component in direction, +_>Is fluid density, ++>Is vortex viscosity coefficient>For turbulent viscosity>For turbulent energy->Is (are) generated item->For turbulent dissipation rate->、/>Is a constant term, get->=1.44、/>=1.92，/>To calculate the constant, take +.>=0.09，/>For turbulent energy->Is taken as +.>=1.0，/>For turbulent dissipation ratioIs taken as +.>=1.3。/>Representation->At->Direction deviation guide, ->Representing turbulence energy at->Direction deviation guide, ->Indicating that the turbulent dissipation ratio is +.>Direction deviation guide, ->Representation->Velocity in directionThe component is->Direction deviation guide, ->Representation->The velocity component in the direction is +.>And (5) deviation in the direction is obtained.
And (3) invoking a K-Epsilon turbulence model in the calculation of a fluid control equation to obtain an analysis report, and directly deriving the average turbulence energy at the impeller spacing of the stirrer according to the analysis report.
S4, changing the distance between the impellers of the stirrer, repeating the steps S1-S3, and obtaining the average turbulence energy in the coagulation zone when the distance between the impellers of the stirrer is 0.7, 0.8, 1, 1.2, 1.5, 1.8, 2 and 2.3 meters, wherein specific numerical values are directly led out through a program. The specific distribution of turbulence energy in the coagulation zone is reflected in a picture form, as shown in fig. 3, the turbulence energy cloud diagrams are respectively shown from left to right when the distance is 0.7,1.5,2.3 meters, and as can be seen from the diagrams, different distances correspond to different turbulence energy distribution conditions of the coagulation zone, and the turbulence energy near the blades is larger.
S5, fitting the impeller spacing of the stirrer in the coagulation zone and the average turbulence energy corresponding to the impeller spacing of the stirrer to obtain a multiple linear regression equation of the impeller spacing of the stirrer and the average turbulence energy, wherein the expression is as follows:
，
wherein,for the average turbulence energy of the coagulation zone +.>Is the impeller spacing of the stirrer.
FIG. 4 is a graph showing a fitted curve of impeller spacing and average turbulence energy for a mixer in a coagulation zone at a fixed speed of 80 rpm.
And S6, obtaining the optimal distance between the impellers of the stirrer at the rotating speed of 80rpm according to a multiple linear regression equation of the distance between the impellers of the stirrer and the average turbulence energy.
And S7, changing the rotation speed of the stirrer by taking the rotation speed as a judging standard, respectively setting the rotation speed to be 20rpm, 30rpm, 40rpm, 50rpm, 60rpm, 70rpm and 80rpm, and repeating the steps S3-S6 to obtain the optimal distance between the impellers of the stirrer at different rotation speeds.
S8, fitting the rotating speed and the average turbulence energy corresponding to the rotating speed to obtain a rotating speed-optimal interval equation, wherein the expression is as follows:
，
wherein,for the impeller spacing of the stirrer>Is the rotational speed of the stirrer.
As shown in fig. 5, fig. 5 is a schematic diagram of a fitted curve of the rotational speed of the stirrer and the impeller spacing of the stirrer at different rotational speeds.
And S9, according to a rotation speed-optimal interval equation, the optimal interval of the stirrer corresponding to any specific rotation speed can be obtained.
Embodiment two:
the embodiment provides an analysis system for the optimal distance between impellers of a stirrer based on CFD, which comprises a processor and a storage medium.
The storage medium is used for storing instructions;
the processor is configured to operate in accordance with the instructions to perform the steps of the method of embodiment one.
The foregoing is merely a preferred embodiment of the present invention, and it should be noted that modifications and variations could be made by those skilled in the art without departing from the technical principles of the present invention, and such modifications and variations should also be regarded as being within the scope of the invention.

Claims (7)

1. A method for analyzing optimal pitch of a stirrer impeller based on CFD, comprising the steps of:
s1, modeling a high-efficiency sedimentation tank coagulation area and a stirrer in the coagulation area to obtain a calculation domain model;
s2, performing polyhedral grid division processing on the calculation domain model, and obtaining a grid model through grid irrelevant verification;
s3, performing constant value calculation on the grid model, establishing a fluid control equation, and calling a K-Epsilon turbulence model to obtain average turbulence energy at the impeller spacing of the mixer, wherein the expression of a fluid transport equation adopted by the K-Epsilon turbulence model is as follows:
，
wherein,，/>the velocity fields are respectively +.>Direction and->Velocity component in direction, +.>Is->Coordinate component in direction, +_>Is->Coordinate component in direction, +_>Is fluid density, ++>Is vortex viscosity coefficient>For turbulent viscosity>For turbulent energy->Is (are) generated item->For turbulent dissipation rate->、/>Is a constant term->To calculate the constant +.>As turbulent energyIs>For turbulent dissipation rate->Is a turbulent planter number; />Representation ofAt->Direction deviation guide, ->Representing turbulence energy at->The deflection is calculated in the direction, and the deflection is calculated in the direction,indicating that the turbulent dissipation ratio is +.>Direction deviation guide, ->Representation->The velocity component in the direction is +.>Direction deviation guide, ->Representation->The velocity component in the direction is +.>Deviation guide in the direction;
s4, changing the impeller spacing of the stirrer, and repeating the steps S1-S3 to obtain average turbulence energy under different impeller spacing of the stirrer;
s5, fitting the impeller spacing of the stirrer in the coagulation zone and the average turbulence energy corresponding to the impeller spacing of the stirrer to obtain a multiple linear regression equation of the impeller spacing of the stirrer and the average turbulence energy, wherein the expression of the multiple linear regression equation of the impeller spacing of the stirrer and the average turbulence energy is as follows:
，
wherein,for the average turbulence energy of the coagulation zone +.>For the impeller spacing of the stirrer>Is polynomial coefficient +.>The number of orders is represented and,taking a constant;
s6, obtaining the optimal distance between the impellers of the stirrer according to a multiple linear regression equation of the distance between the impellers of the stirrer and the average turbulence energy;
s7, changing the rotating speed, and repeating the steps S3-S6 to obtain the optimal distance between the impellers of the stirrer at different rotating speeds;
s8, fitting the rotating speed and the average turbulence energy corresponding to the rotating speed to obtain a rotating speed-optimal interval equation, wherein the rotating speed-optimal interval equation has the expression:
，
wherein,for the impeller spacing of the stirrer>For the rotational speed of the stirrer>Is polynomial coefficient +.>Representing the order->Taking a constant;
and S9, determining the optimal distance between the corresponding stirrer impellers at a specific rotating speed according to a rotating speed-optimal distance equation.
2. The method for analyzing the optimal distance between impellers of a stirrer based on CFD according to claim 1, wherein the modeling adopts three-dimensional modeling software, and the calculation domain model is required to restore the size of a coagulation area of a high-efficiency sedimentation tank and a prototype of the stirrer in the coagulation area.
3. The method for analyzing the optimal distance between impellers of a mixer based on CFD according to claim 1, wherein the step of performing polyhedral mesh division on the computational domain model and obtaining a mesh model through mesh independent verification comprises the steps of:
dividing a space in the computational domain model into a plurality of areas, and determining nodes of each area;
carrying out grid local encryption processing on the key area;
and performing grid-independent verification on the computational domain model to obtain a grid model.
4. A method of analyzing optimum pitch of a CFD-based mixer impeller according to claim 3, wherein the critical areas include mixer blades, impeller hub and dynamic-static interfaces.
5. The method of analyzing optimal distance between impellers of a CFD mixer according to claim 1, wherein the step S3 further comprises setting a rotation reference frame, setting a reference pressure to be a standard atmospheric pressure, and setting a convergence standard of a steady state to be a residual curve RMS value of less than 1 x 10 -4 The turbulence specifying method was set to an intensity+length ratio, the initial turbulence intensity was set to 0.05, and the turbulence length ratio was set to 0.1.
6. The CFD-based agitator impeller optimal spacing analysis method of claim 1, wherein the fluid control equations comprise a continuity equation, a momentum equation, and an energy equation.
7. An analysis system for optimal spacing of stirrer impellers based on CFD, which is characterized in that: including a processor and a storage medium;
the storage medium is used for storing instructions;
the processor is configured to operate according to the instructions to perform the steps of the method according to any one of claims 1 to 6.
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Citations (2)

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Publication number Priority date Publication date Assignee Title
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Patent Citations (2)

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Publication number Priority date Publication date Assignee Title
CN108108577A (en) * 2018-01-29 2018-06-01 扬州大学 A kind of water pump blade fatigue life prediction and its determine method with the optimal spacing of guide vane
CN108504548A (en) * 2018-04-03 2018-09-07 农业部规划设计研究院 A kind of design optimization method of full-mixing type anaerobic fermentation reactor

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