Hydromagnetic Nanofluid Film Flow over a Stretching Sheet with Prescribed Heat Flux and Viscous Dissipation

Abstract

Thermal radiative heat transfer through a thin horizontal liquid film of a Newtonian nanofluid subjected to a magnetic field is considered. The physical boundary conditions are a variable surface heat flux and a uniform concentration along the sheet. Moreover, viscous dissipation is present and concentration is assumed to be influenced by both thermophoresis and Brownian motion effects. Using a similarity method to turn the underlying Partial differential equations into a set of ordinary differential equations (ODEs) and a shooting technique to solve these equations, the skin-friction coefficient, the Nusselt number, and the Sherwood number are determined. Among other things, it is shown that large values of the thermal radiation heat transfer rate, thermal conductivity parameter, and the Brownian motion parameter can enhance the cooling of the sheet.