Singularities in turbulent boundary-layer calculations on rotating blades
by
Horia Dumitrescu
Institute of Statistical Mathematics and Applied Mathematics, Bucharest
Coauthors: Vladimir Cardos, Institute of Statistical Mathematics and Applied Mathematics, Bucharest

The possibility of the occurrence of singularities in three-dimensional boundary layer calculations on rotating blades in direct mode is studied here. For this, the system of the entrainment and global momentum equations is used and it is shown that the system is totally hyperbolic. Also, it is demonstrated that singularities can be formed by focusing of the wall streamlines which are at the same time characteristic lines of the system of equations. The singularities are avoided in the inverse mode. The objective is to calculate the boundary layer developing near a blade-root and to establish a semiempirical correction law for the lift coefficient based on 2-D airfoil data. The study provides valuable insights for a theoretical understanding of the effects of the various secondary terms on the primary flow over the rotor blade.

Date received: February 26, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caub-55.