Williamson nanofluid flow through porous medium in the presence of melting heat transfer boundary condition: semi-analytical approach

Abstract

Purpose

Present investigation based on the flow of electrically conducting Williamson nanofluid embedded in a porous medium past a linearly horizontal stretching sheet. In addition to that, the combined effect of thermophoresis, Brownian motion, thermal radiation and chemical reaction is considered in both energy and solutal transfer equation, respectively.

Design/methodology/approach

With suitable choice of nondimensional variables the governing equations for the velocity, temperature, species concentration fields, as well as rate shear stress at the plate, rate of heat and mass transfer are expressed in the nondimensional form. These transformed coupled nonlinear differential equations are solved semi-analytically using variation parameter method.

Findings

The behavior of characterizing parameters such as magnetic parameter, melting parameter, porous matrix, Brownian motion, thermophoretic parameter, radiation, Lewis number and chemical particular case present result validates with earlier established results and found to be in good agreement. Finally reaction parameter is demonstrated via graphs and numerical results are presented in tabular form.

Originality/value

The said work is an original work of the authors.

Citation

Mishra, S.R. and Mathur, P. (2021), "Williamson nanofluid flow through porous medium in the presence of melting heat transfer boundary condition: semi-analytical approach", Multidiscipline Modeling in Materials and Structures, Vol. 17 No. 1, pp. 19-33. https://doi.org/10.1108/MMMS-12-2019-0225