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MHD flows on irregular boundary over a diverging channel with viscous dissipation effect

Iyyappan G. (Mathematics Division, School of Advanced Sciences, Vellore Institute of Technology, Chennai Campus, India and Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, India)
Abhishek Kumar Singh (Mathematics Division, School of Advanced Sciences, Vellore Institute of Technology, Chennai Campus, India)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 22 March 2021

Issue publication date: 6 July 2021

103

Abstract

Purpose

The purpose of this paper is to analyse the force convection laminar boundary layer flow on irregular boundary in diverging channel with the presence of magnetic field effects. Effects of various fluid parameters such as suction/injection, viscous dissipation, magnetic parameter and heat source/sink on velocity and temperature profiles are numerically analyzed. Moreover, numerically investigated on skin-friction and heat transfer coefficients when suction/injection occur.

Design/methodology/approach

The governing coupled partial differential equations are transformed to dimensionless form using non-similarity transformations. The non-dimensional partial differential equations are linearized by quasi-linearization technique and solved by varga's algorithm with numerical finite difference scheme on a non-uniform mesh.

Findings

The computation results are presented in terms of temperature, heat transfer and skin friction coefficients; these are useful for determining surface heat requirements. It was found that, in finite difference scheme for non-uniform mesh with quasi-linearization technique method gives smoothness of solution compared to finite difference scheme for uniform mesh, and this evidence is graphically represented in Figure 2.

Originality/value

The impacts of viscous dissipation (Ec) and magnetic parameter (Ha) on temperature profiles, skin friction and heat transfer are analyzed, which determine the heat generation/absorption to ensure the MHD flow of the laminar boundary layer on irregular boundary over a diverging channel.

Keywords

Acknowledgements

Iyyappan G. is thankful to Professor S. Roy, Department of Mathematics, IIT Madras, Chennai. The authors are thankful to the anonymous reviewers for their critical comments in improving the manuscript.

Citation

G., I. and Singh, A.K. (2021), "MHD flows on irregular boundary over a diverging channel with viscous dissipation effect", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 7, pp. 2112-2127. https://doi.org/10.1108/HFF-06-2020-0368

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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