Variable Thermal Conductivity on Compressible Boundary Layer Flow over a Circular Cylinder

Abstract

In this paper, variable thermal conductivity on heat transfer over a circular cylinder is presented. The concept of assuming constant thermal conductivity on materials is however not efficient. Hence, the governing partial differential equation is reduced using non-dimensionless variables into a system of coupled non-linear ordinary differential equation, which is solved numerically. While the analysis on the stability and existence and uniqueness for different cases of variable thermal conductivity are shown, and as the temperature increases, the points of separation at surface temperature, decreases to an asymptotic value.

Keywords: Thermal conductivity, compressible boundary layer, Boundary conditions, stability and Numerical solution.