Analysis of heat and mass transfer in a thin liquid film over an unsteady stretching surface

This paper is focused on the study of coupled heat and mass transfer in a liquid film over an unsteady stretching surface. The stretching rate and temperature of the sheet vary with time. The governing partial differential equations are transformed into ordinary differential equations by using similarity transformations. The resulting similarity equations are solved analytically by an efficient perturbation expansion method. A parametric study illustrating the influence of the unsteadiness parameter and Prandtl number on the fluid velocity as well as temperature is conducted.