双调和方程在航空离心泵叶型优化设计的应用

In order to reduce the amount of computation and improve the efficiency of optimization process, the optimization design of aero centrifugal pump blade profile based on the biharmonic equation agent model and hybrid artificial fish-swarm algorithm was studied. Five-point fourth-order Bezier curves and linear function were used to control the distribution of the circumference angles and the stacking of the blade profile under the Matlab platform. The numerical simulation of the 15 design results was carried out by the joint batch processing of softwares UG and Fluent. Then based on surface interpolation, the calculation of spatial boundary conditions was obtained, and biharmonic partial differential equation on central difference scheme was solved to establish the hypersurface agent model. The objective function of maximum efficiency was used to optimize the design variables based on the artificial fish swarm algorithm. Results showed that the artificial fish-swarm optimization method based on biharmonic equation agent model can ensure the test value and the predicted value were exactly the same. Compared with prototype the wake effect in the optimized impeller was weakened, and the hydraulic efficiency increased by 5.4%.