A new approach in analyzing the potential flow in the complicated passages of a turbomachine is presented. The analysis is also generally applicable to a variety of similar problems involving multiply connected domains. The outlines of the solution procedure follow the weighted residual - Galerkin's method combined with different order finite elements. The finite element equations are derived in terms of the velocity potential discrete values as well as localized potential discontinuities associated with the domain multiconnectivity. As a result, neither the flow exit angle nor the circulation around the lifting bodies need to be externally prescribed. Instead, they are determined, along with the velocity potential nodal values, in the finite element solution. The computed results are compared with available experimental data, and also with existing analytical solutions based on conformal transformations. The method was used to analyze single airfoil and cascade flows and also the three dimensional flow field in a radial turbine scroll. Different finite element discretization models were used to obtain the solution, and to study the effects of the grid size and the order of elements on the solution accuracy, computer size and storage requirements. (DePo)
A new approach in turbomachinery flow analysis using the finite element method
Finite Elemente Methode als neues Verfahren fuer die Analyse der Streomungen in Turbomaschinen
1979
95 Seiten
Theses
English
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