Abstract:The meridional flow field inside a mixed-flow pump was obtained by employing iterative calculation to settle the continuity and motion equations of fluid,based on the flow theory of two families of relative stream surfaces.Thus,the direct problem calculation was achieved.The inverse problem of mixed-flow pump was solved by firstly employing point-by-point integration method to draw the blade shape,secondly thickening the blade on the meridional surface and finally smoothing the leading edge of the blade by conformal mapping.On the base of this,the iterative design method of direct and inverse problems of the mixed-flow pump impeller was developed by combining the direct problem with the inverse problem.In this design method,the direct problem calculation offered the flow field information to the inverse problem design and the inverse problem design provided the impeller model to the direct problem calculation.The impeller was not finally determined until the direct and inverse problems converged.The results showed that the impeller,obtained by iterative design method of direct and inverse problems,has more uniform load distribution and higher hydraulic efficiency.This iterative design method can effectively cover the shortage of the traditional method,which is that the meridional flow calculation can only satisfy the continuity equation of fluid when designing the blade.In addition,this method can also consider the effect of blade shape on the meridional flow calculation.Therefore,the finally determined blade shape,obtained in the condition of satisfying both the continuity and motion equations of fluid,can not only enhance the accuracy of design calculation,but also provide a platform for further research of optimization design of the mixed-flow pump impeller.
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