WIT Press


An Inverse Method For Turbomachinery Cascades Of Blades – Investigation Of The Existence And Uniqueness Of Solution

Price

Free (open access)

Paper DOI

10.2495/AFM040011

Volume

45

Pages

10

Published

2004

Size

573 kb

Author(s)

J.C. Páscoa, A.C. Mendes & L.M.C. Gato

Abstract

Inverse solution existence and uniqueness issues are discussed for a transonic two-dimensional inverse design method for turbomachinery cascades of blades. The prescribed conditions are the aerodynamic loading and the blade thickness. Afterwards we seek, in an iterative way, the blade geometry for the specified conditions. In order to accomplish this task we make use of a central finitevolume explicit time-marching scheme, to solve the Euler system of equations in 2D. This problem can sometimes be ill-posed. Theoretical and numerical evidence shows that we cannot always obtain a cascade of blades from an arbitrary distribution of load. Besides the

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