Impact of cross diffusion on MHD viscoelastic fluid flow past a melting surface with exponential heat source

Abstract

Purpose

The purpose of this paper is to propose the knowledge of thermal transport of magneto hydrodynamic non-Newtonian fluid flow over a melting sheet in the presence of exponential heat source.

Design/methodology/approach

The group of PDE is mutated as dimension free with the assistance of similarity transformations and these are highly nonlinear and coupled. The authors solved the coupled ODE’s with the help of fourth-order Runge–Kutta based shooting technique. The impact of dimensionless sundry parameters on three usual distributions of the flow was analyzed and bestowed graphically. Along with them friction factor, heat and mass transfer rates have been assessed and represented with the aid of table.

Findings

Results exhibited that all the flow fields (velocity, concentration and temperature) are decreasing functions of melting parameter. Also the presence of cross-diffusion highly affects the heat and mass transfer performance.

Originality/value

Present paper deals with the heat and mass transfer characteristics of magnetohydrodynamics flow of non-Newtonian fluids past a melting surface. The effect of exponential heat source is also considered. Moreover this is a new work in the field of heat transfer in non-Newtonian fluid flows.

Citation

K., A.K., J.V., R.R., V., S. and Sandeep, N. (2018), "Impact of cross diffusion on MHD viscoelastic fluid flow past a melting surface with exponential heat source", Multidiscipline Modeling in Materials and Structures, Vol. 14 No. 5, pp. 999-1016. https://doi.org/10.1108/MMMS-12-2017-0151