RADIATIVE AND MHD DISSIPATIVE HEAT EFFECTS ON UPPER-CONVECTED MAXWELL FLUID FLOW AND MATERIAL TIME RELAXATION OVER A PERMEABLE STRETCHED SHEET

Abstract

Combined investigation of the generalized paradox of fluid flow and heat flux with upper-convected Maxwell (UCM) fluid and the Cattaneo-Christov model over a porous stretchable sheet is considered. In proffering an effective fluid flow and heat conduction, Fourier's law proved faulty. Consequently, a true estimation of non-Newtonian fluid characterizations is required due to their wide application in the biomedical science and engineering industries, among others. To these, nonlinear coupled partial differential equations (PDEs) governing the aforementioned conditions are modeled and transformed to ordinary differential equations (ODEs) using adequate similarity transformation. The solutions of these ODEs were obtained using Legendre collocation method (LCM). The results identified that a rise in geometrical inclination retards the velocity field, and an increase of the Deborah number brings about retardation in the flow fields, thus indicating a highly viscous fluid. Since fluids with high Deborah number are highly elastic, there exists flow friction, hence resulting in large heat accumulation. Therein, the material relaxation phenomenon explains that more time will be needed for successful circulation/transfer of heat from one medium to another.