Table of Contents
ISRN Applied Mathematics
Volume 2012, Article ID 148607, 18 pages
Research Article

An Inverse Design Method for Cascades for Low-Reynolds Number Flow

University of Technology, Kaiserslautern, 67663 Kaiserslautern, Germany

Received 3 February 2012; Accepted 29 March 2012

Academic Editors: Y. Dimakopoulos, Z. Huang, Z. Mohamed, W. Yeih, and Y.-G. Zhao

Copyright © 2012 Martin Böhle. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Inverse design of cascades for low Reynolds number can be applied for the aerodynamic development of fans and compressors. The present contribution describes a complete design procedure by taking into account the transition from laminar to turbulent boundary layer flow. A shape factor distribution is prescribed along the suction surface of the blades. The inverse boundary layer calculation is performed by the application of a finite difference method. On the pressure side the velocity distribution is prescribed in such a way that the given flow angles in front of and behind the cascade are realized. An inverse calculation based on potential theory is applied in order to determine the geometry of the cascade. At the end of the present contribution a cascade is designed by the described inverse design procedure and the flow is simulated by the application of CFD.