A comprehensive note on thermally stratified flow and non-Fourier heat flux theory

Abstract

Here an analysis is presented to investigate the characteristics of non-Fourier flux concept in flow induced by stretching cylinder. Unlike the convectional approach, the heat flux by Cattaneo-Christov theory is considered. Stagnation point flow in the presence of thermal stratification and temperature dependent thermal conductivity is addressed. Rheological properties are examined for hyperbolic tangent material. Theory of the boundary-layer is implemented for the formulation purpose. The relevant transformations yield the strong non-linear differential systems which are numerically computed. Plots are presented for the solution expressions of velocity and temperature. Surface drag force is calculated and discussed. Here velocity and temperature are enhanced for the larger curvature parameter. Larger values of thermal relaxation factor give rise to be decrease in temperature.