Small-Time Solutions for the Thin-Film Flow of a Casson Fluid due to a Suddenly Moved Plate

Abstract

This article explores the boundary layer flow of Casson fluid in a thin liquid film over an impulsively moved plate with heat transfer. Viscous dissipation is considered. Mathematical formulation is presented using conservation laws of mass, momentum, and energy. Small-time series solutions for velocity and temperature are constructed. Effects of embedded physical parameters in the velocity and temperature profiles are analyzed. Numerical values of skin friction coefficient and local Nusselt number are computed and analyzed. It is found that the Casson fluid parameter decreases the temperature. Further, it is noted that effects of Casson fluid and film thickness parameters on the velocity and temperature are qualitatively similar.