Transonic flows of fluids having large bulk viscosities

We examine two-dimensional, steady, viscous, external transonic flows over thin wings or turbine blades. We consider fluids having bulk viscosities that are much larger than their shear viscosity. The method of matched asymptotic expansions is used to show that viscous effects must be considered when the ratio of bulk to shear viscosity is on the order of the Reynolds number times the two-thirds power of the small thickness or angle of attack parameter. Under these conditions, the adverse pressure gradients are significantly reduced, and we conjecture that shock-induced separation will be reduced or eliminated. The drag due to the additional friction is estimated to be of the same order of magnitude as that due to wave drag.