Unsteady MHD flow of laminar liquid film over a porous medium using DTM‐Pade approximation

Abstract

An analysis is carried out for the flow of an unsteady electrically conducting liquid film on a horizontal stretching surface embedded with porous medium. In addition, a uniform heat source is taken care of in the present problem to model the governing equations of momentum and thermal energy to enhance the thermal properties of the considered fluid. Similarity variable as well as transformations are used to transform these equations into nondimensional. Solutions of these transformed ordinary differential equations are obtained using approximate analytical method, such as differential transformation method, and their refinement is verified by Pade approximant. The methodology of the analytical approach is presented clearly. Further, for validation, the numerical solutions are obtained and compared with the present analytical solution. The characteristics of the exhibiting parameters are shown via graphs and then discussed.