A numerical method of unsteady flow through a mixed flow impeller using finite element method and discrete vortex method
Abstract
In an analysis of the cascade flow in a mixed flow turbomachine accounting for the effects of wakes from the upsteam guide vanes the vorticity transport equation is presented in terms of the vorticity component normal to the revolutional flow surface. An elliptical partial differential equation of the stream function is solved by the finite element method, and the transport equations of the vorticity and the trailing vortices are solved by a discrete vortex method. The basic equations of relative flow are written under the assumption of incompressible inviscid flow in a thin layer between two revolutional flow surfaces. The boundary value problem is solved by the Galerkin method and the stream values are determined. The present approach is applied to a straight cascade on the xy-plane with solidity 1 and stagger 45 deg composed of double circular arc blades.
- Publication:
-
Finite Element Flow Analysis
- Pub Date:
- 1982
- Bibcode:
- 1982fefa.proc.1027S
- Keywords:
-
- Cascade Flow;
- Computational Fluid Dynamics;
- Finite Element Method;
- Impellers;
- Unsteady Flow;
- Vortices;
- Boundary Value Problems;
- Galerkin Method;
- Inviscid Flow;
- Stream Functions (Fluids);
- Fluid Mechanics and Heat Transfer