Transformation of Nonstationary Navier-Stokes Equations of a Viscous Compressible Fluid under an Arbitrary Conformal Mapping

It is shown that, the circulation of velocity and fluid flow on any closed or open contour are preserved under an arbitrary conformal mapping of the two-dimensional viscous compressible flow region. The transformed unsteady Navier-Stokes, continuity and heat balance equations, which govern the aerodynamic parameters in the mapped region, are derived.