Flow of a Nano-Liquid Film of Maxwell Fluid with Thermal Radiation and Magneto Hydrodynamic Properties on an Unstable Stretching Sheet

This article aims to investigate the liquid film flow of Maxwell fluid on an unsteady stretching sheet in the existence of thermal radiation and constant magnetic field. The Brownian motion and thermophoretic terminologies have been countered in this article from the field of nanofluids. The basic flow equations have been converted by using appropriate similarity variables to a set of differential equations which are nonlinear and coupled. The solution of the problem has been obtained by using the homotopy analysis method (HAM). In order to show the verification of the HAM solution, the residuals for the velocity, temperature and concentration fields have been obtained and shown graphically as well as numerically. The important effects of thermophoretic parameter, magnetic field, Brownian motion, thermal radiation involved in this research have been studied in detailed. The physical appearance of Prandtl number Pr, Thickness beta, unsteadiness parameter S, magnetic parameter M and Schmidt number (Sc) have also been plotted graphically and discussed.