Boundary layer theory for second order fluids

Abstract

Two-dimensional equations of steady motion for second order fluids are expressed in a special coordinate system generated by the potential flow corresponding to an inviscid fluid. For the flow around an arbitrary object φ coordinates are the streamlines, ψ coordinates are the velocity potential lines. It is clear that the equations of motion so derived and boundary conditions become in a sense independent of the body shape immersed into the flow. Using the usual boundary layer assumptions the boundary layer equations are then deduced from the equations of motion by employing a technique of matched asymptotic expansion.