Boundary Layer Flow of Rarefied Gas Over a Flat Plate with Constant Heat Flux Boundary Conditions

Abstract

In the current work, Boundary layer flow of rarefied gas over a flat plate with constant heat flux boundary conditions is presented and solved numerically. The first-order slip boundary condition is adopted in the derivation. By using appropriate similarity variables, the fundamental equations of the boundary layer are transformed to ordinary differential equations. These ordinary differential equations are solved numerically using a fourth order Runge-Kutta and shooting method. The dimensionless velocity, temperature and shear stress profiles are plotted and discussed. Consequently, the velocity profiles, temperature profiles and the wall shear stress exhibit a dependence on the slip coefficient. It is found that an increase in slip parameter leads to an increase in velocity and a fall in skin-friction.