The steady-state plane, incompressible, variable viscosity, Navier-Stokes equations are transformed into a new system of equations using von-Mises variables (x,w) for constant and variable thermal conductivity. Some new exact solutions to the transformed equations are determined for a class of flow problems characterized by the streamlines (y-g(x)) = constant, where g(x), I(x) are continuously I(x) Differentiable functions and I(x) # 0. Boundary value problems are also treated to indicate the applicability of some of the solutions to physically possible situations.

Introduction