(An) analysis of the separation point of laminar compressible flow over 2-dimensional surface and axisymmetric body affected by wall temperature, prandtl number and mach number

Abstract

An approximate solution for separation point of laminar compressible flow over 2-dimensional surface and axisymmetric body appricable to variable wall temperature distribution along the streamwise direction and Prandtl number close to unity is presented, by improving the Morduchow and Grape``s analysis. In this analysis, variable D and E are added to the original equation of Morduchow and Grape``s analysis. Variable D and the second term in variable E are used to evaluate the effect of Prandtl number. Variable G$_1$ and the first term in variable E are used to evaluate the effect of wall temperature. From this analysis, it is found that by cooling the wall, reducing the Prandtl number and increasing the Mach number the separation is delayed. And these effects are more marked in 2-dimensional flow than in axisymmetric flow. The comparison of the results by present analysis and by other analyses shows a comparatively good agreement.