Transient flow of viscous compressible fluid past a heated cylinder

Abstract

In the present investigation, we have considered the effect of the enthalpy transfer on the growth of the boundary layer flow of compressible fluid past a heated cylinder. The governing equations of the boundary layer are transformed into a convenient form by a method of transformed coordinates. The transformed equations are then solved numerically using the finite difference method for all time regime, perturbation solutions for small time regime, and the asymptotic solutions for large time regime. The solutions are obtained for different values of the Mach number, M0 and the surface temperature parameter while Prandtl number equals 0.7 and the ratio of specific heats equals 1.4 and shown the effects on the local shear-stress and the rate of enthalpy transfer at the surface of the cylinder as well as on the streamlines and isoenthapies. Some numerical values of the point of separation that took place at different time steps as well as different values of surface temperature parameter and Mach number at the steady state are given in tabular form.