Analytic and numeric solutions for stagnation-point flow with melting, thermal-diffusion and diffusion-thermo effects
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 25 February 2014
Abstract
Purpose
The aim of this work is to analyze the combined effects of melting, thermal-diffusion and diffusion-thermo on the flow of non-Newtonian fluid.
Design/methodology/approach
An efficient approach namely homotopy analysis method is applied to compute the solution of the non-linear problem. Moreover, numerical results using MATLAB function bvp4c are also computed.
Findings
Main findings are an increase in the melting process corresponding to increase in the velocity and the boundary layer thickness. However, surface heat and mass transfer decrease by increasing the values of melting parameter M.
Originality/value
Combined effects of thermal-diffusion and diffusion-thermo are analyzed and the solutions are computed both numerically and analytically. Some deduced results can be obtained in a limiting sense.
Keywords
Acknowledgements
The authors are grateful to the reviewers for their useful suggestions. Financial support of Higher Education Commission (HEC) of Pakistan is gratefully acknowledged.
Citation
Awais, M., Hayat, T., Mustafa, M., Bhattacharyya, K. and Asif Farooq, M. (2014), "Analytic and numeric solutions for stagnation-point flow with melting, thermal-diffusion and diffusion-thermo effects", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 24 No. 2, pp. 438-454. https://doi.org/10.1108/HFF-10-2011-0220
Publisher
:Emerald Group Publishing Limited
Copyright © 2014, Emerald Group Publishing Limited