CN-121997846-A - Centrifugal pump drag reduction optimization design method based on response surface method

CN121997846ACN 121997846 ACN121997846 ACN 121997846ACN-121997846-A

Abstract

The invention discloses a centrifugal pump drag reduction optimization design method based on a response surface method, which relates to the technical field of hydraulic design optimization of fluid machinery, and comprises the steps of firstly determining an arrangement area of grooves, carrying out dimensionless representation on the depth, the width, the spacing and the arrangement length of the grooves and giving constraint conditions, adopting response surface test design to complete generation of four-factor three-level samples and carrying out CFD numerical simulation, and using the torque of an upper cover plate, a lower cover plate and blades of an impeller area Centrifugal pump efficiency Respectively establishing as evaluation indexes And The torque minimization and efficiency maximization are realized through multi-objective optimization, the optimal dimensionless parameter combination is obtained, and the accuracy and the practicability of the optimization result are verified through CFD back calculation. The method replaces absolute dimensions with dimensionless parameters, and improves the mobility of the optimization conclusion to different pump types and dimensions.

Inventors

XU NA
FENG MENGMENG
ZHONG LICHENG
LIU BIAO
YUAN YUELONG
MOU XIAOLEI

Assignees

烟台大学

Dates

Publication Date: 20260508
Application Date: 20260410

Claims (8)

1. The centrifugal pump drag reduction optimization design method based on the response surface method is characterized by comprising the following steps of: S1, determining an arrangement area of the grooves, and respectively characterizing the groove depth, the groove width, the groove spacing and the arrangement length as , , , And given dimensionless constraints, wherein , ; S2, adopting response surface test design to complete generation of four-factor three-level samples, performing CFD numerical simulation on each sample, and extracting torque of an upper cover plate, a lower cover plate and blades of an impeller region Centrifugal pump efficiency under corresponding working conditions As an evaluation index; S3, respectively establishing on the basis of the step S2 And (3) with The second order polynomial response surface model of (2), and verifying the model significance and fitting reliability through variance analysis and residual error test; S4, drawing a three-dimensional response surface and a contour map of the pairwise variable combination for observing , , , The law of coupling influence on torque loss and efficiency; S5, carrying out multi-objective optimization solution under the constraint conditions of variable range and performance, wherein the multi-objective optimization solution is used for achieving torque minimization and efficiency maximization, obtaining the optimal dimensionless parameter combination, and verifying the accuracy and the feasibility of an optimization result through CFD recalculation.
2. The centrifugal pump drag reduction optimization design method based on the response surface method according to claim 1, wherein the step S1 specifically comprises the following steps: S11, extracting groove depth aiming at key geometric features of groove structures Width of groove Spacing between adjacent grooves Groove arrangement length Four design variables are processed in a dimensionless manner to obtain dimensionless depth parameters Dimensionless width parameter Non-dimensional pitch parameter Dimensionless length parameter ; S12, combining the pump scale and the structural constraint of the blade tail edge, giving the value range and the horizontal setting principle of each dimensionless variable, wherein, , ; S13, taking action mechanism of the groove on the near-wall shear layer into consideration, and introducing the action mechanism into parameter setting and constraint conditions And (3) with Similar range constraints are used to guide the optimized search to more efficient drag reduction zones.
3. The centrifugal pump drag reduction optimization design method based on the response surface method according to claim 2, wherein the definition of each dimensionless parameter in S11 is as follows: ; ; ; ; Wherein, the Is the wall friction coefficient; Is that The dynamic viscosity of water is 0.001003 Pa.s; Representing the kinematic viscosity coefficient, m 2 /s; is the blade length, m.
4. The centrifugal pump drag reduction optimization design method based on the response surface method as claimed in claim 3, wherein the arrangement length of the grooves is limited in S12, and the dimensionless length parameters are The active area is located at the trailing edge section of the blade, selected to be within 33% of the length of the blade, 。
5. The centrifugal pump drag reduction optimization design method based on the response surface method according to claim 4, wherein the content of S2 is as follows: S21, determining variable definition, design method and sample size of response surface test design, wherein variables of the variable definition comprise , , , Four dimensionless design variables are adopted in the design method A test design method; s22, simulating samples of the response surface experimental design to obtain drag reduction evaluation indexes, wherein the drag reduction evaluation indexes comprise torque of an upper cover plate, a lower cover plate and blades in an impeller area Efficiency of centrifugal pump 。
6. The centrifugal pump drag reduction optimization design method based on the response surface method according to claim 5, wherein the content of S3 is as follows: s31, based on CFD sample simulation results, establishing to , , , A second-order polynomial response surface model which is an independent variable and takes drag reduction and performance evaluation indexes as dependent variables; S32, performing significance test and fitting goodness evaluation on the second-order polynomial response surface model, wherein the verification method comprises variance analysis, an adjusted decision coefficient R 2 , residual analysis and missing fitting test; s33, obtaining a reliable agent model for optimizing and solving through the checking method of the step S32.
7. The centrifugal pump drag reduction optimization design method based on the response surface method of claim 6, wherein the performance constraint condition in the step S5 comprises a value range constraint of a dimensionless variable.
8. The centrifugal pump drag reduction optimization design method based on the response surface method according to claim 7, wherein the contents of accuracy and feasibility of the optimization result verified by CFD back calculation in step S5 are as follows: and (3) carrying out CFD calculation prototype test verification again on the optimal dimensionless parameter combination obtained by the multi-objective optimization solution, comparing the error of the predicted value of the response surface with the error of the verification result, and finally confirming the accuracy and the feasibility of the optimization result.

Description

Centrifugal pump drag reduction optimization design method based on response surface method Technical Field The invention relates to the technical field of hydraulic design optimization of fluid machinery (water pumps), in particular to a centrifugal pump drag reduction optimization design method based on a response surface method. Background As a type of general hydraulic machine with extremely wide application range, centrifugal pumps are used in a large number of important fields such as vehicle engineering, aerospace, navigation engineering, and the like. As its use is becoming more complex and the range of applications continues to expand, modern engineering practices place higher and higher demands on the performance of pump equipment, especially in terms of efficiency, stability and energy conservation. Centrifugal pumps run for a long time in the scenes of water supply, circulation and the like, and the hydraulic loss is directly converted into energy consumption. The existing design often causes separation and secondary flow due to impeller inlet impact, uneven impeller channel diffusion and insufficient volute matching, so that the efficiency is low, and noise vibration and cavitation risks are accompanied. The drag reduction design needs to be optimized under the constraint of multi-parameter coupling, and the traditional experience trial and error or one-by-one simulation iteration has high cost and is difficult to consider for multiple targets. The response surface method is adopted to establish a proxy model of dimensionless parameters and drag reduction results by using a small amount of samples, rapidly evaluate sensitivity and interaction, and perform local optimization under constraint conditions, so that CFD and test times are obviously reduced, optimization efficiency and result mobility are improved, and therefore the multi-pump type universal low-resistance efficient design is realized. In view of the problems that the tail edge area of the vane commonly has strong wake, large near wall shearing loss, additional hydraulic loss induced by pressure pulsation and local separation and the like when the existing centrifugal pump meets the design flow and lift requirements, the pump efficiency is limited, the energy consumption is high, and the phenomena of noise vibration increase, poor running stability and the like possibly occur; meanwhile, the traditional drag reduction design depends on experience selection or local correction of single geometric dimension, lacks a unified dimensionless parameter system, is difficult to realize effective migration between different pump types and different scales, and has the advantages of huge number of calculated samples, long iteration period and high test and simulation cost. Disclosure of Invention The invention aims to provide a centrifugal pump drag reduction optimization design method based on a response surface method, which is used for realizing rapid and multi-objective drag reduction optimization of a groove structure under the condition of less sample size by establishing a dimensionless parametric description and response surface agent model oriented to multiple pumps, thereby reducing the hydraulic loss of the tail edge of a blade, improving the hydraulic efficiency and providing a reusable optimization flow and parameter range basis for low-resistance and high-efficiency designs of different pumps. In order to achieve the purpose, the invention provides a centrifugal pump drag reduction optimization design method based on a response surface method, which comprises the following steps: S1, determining an arrangement area of the grooves, and respectively characterizing the groove depth, the groove width, the groove spacing and the arrangement length as ,,,And given dimensionless constraints, wherein,And (2) andAnd (3) withThe drag reduction effect is better when the drag reduction is similar; s2, generating 29 groups of samples for four factors and three levels by adopting a Box-Behnken response surface test design, performing CFD numerical simulation on each sample, and extracting torque of an upper cover plate, a lower cover plate and blades in an impeller region Centrifugal pump efficiency under corresponding working conditionsAs an evaluation index; S3, respectively establishing on the basis of the step S2 And (3) withThe second order polynomial response surface model of (2), and verifying the model significance and fitting reliability through variance analysis and residual error test; S4, drawing a three-dimensional response surface and a contour map of the pairwise variable combination for observing ,,,The law of coupling influence on torque loss and efficiency; S5, carrying out multi-objective optimization solution under the condition of variable range and performance constraint so as to achieve torque minimization and efficiency maximization, obtaining the optimal dimensionless parameter combination, and verifying the accuracy and