Heat transfer on asymmetric thermal viscous dissipative Couette–Poiseuille flow of pseudo-plastic fluids

Semi-analytical solutions are derived to investigate the effect of viscous dissipation on the temperature distribution and heat transfer characteristics of Couette–Poiseuille flow for pseudo-plastic fluids. The fluid flow is steady, laminar and both hydro-dynamically and thermally fully developed, while the thermal boundary conditions considered are both plates being kept at asymmetric heat fluxes. For Couette–Poiseuille flow for pseudo-plastic fluids, the temperature distribution and the Nusselt number obtained are greatly affected by constant heat flux ratio together with velocity of the moving plate, power-law index, modified Brinkman number and a dimensionless parameter which is the constant of integration in solving the momentum equation.

► Couette–Poiseuille flow of pseudo-plastic fluids is analyzed. ► Viscous dissipation is accounted in the analysis. ► Energy equation is solved in terms of heat flux ratio of the upper and lower plates. ► Useful results on temperature profiles in the fluid are obtained. ► Useful results on Nusselt number for heat transfer calculations are reported.