Centroidal and area average resistances of nonsymmetric, singly connected contacts

Abstract

^ = (14) (15) The subscript / denotes quantities in the incompressible flow domain. The question now arises as to which, if any, of the various transformations that reduce the compressible potential Eq. (1) to Laplace's equation also reduce the boundary conditions of the compressible domain as given by Eqs. (7) and (13) to their equivalent form in the incompressible flow domain. It can be verified easily that the desired transformation is achieved by application of the following well-known version of the Goethert rule: i=y, zf=z, (t>i= (16) The freestream velocity is kept fixed during the transformation, but the angle of attack changes as tana/ =0 tana. By application of the Goethert rule to Eq. (5), one can show further that the pressure distributions of both flow domains are related by cP=cPi/(*2 (17)