Effect of nonlinear radiation on entropy optimised MHD fluid flow

Abstract

Here we investigate the irreversible aspects of 2D, steady, incompressible natural convection magnetohydrodynamic flow of electrically conducting fluid through the convective surface. Energy equation is mathematically modelled subject to viscous dissipation, joule heating effect, heat generation/absorption and nonlinear radiation. The investigation of irreversibility is also examined. Similarity transformations are used to translate the system of partial differential equations into ordinary one. Homotopy analysis method is used to solve the obtained system of nonlinear ordinary differential equations. Flow characteristics are discussed and interpreted graphically with respect to influential parameters. Velocity profile increases for magnetic parameter, first-order velocity slip parameter and suction parameter. Temperature rises for the large amount of radiation parameter, magnetic parameter, temperature ratio parameter, and Brinkman number while behaves opposite for Prandtl number. Concentration profile declines for higher values of Schmidt number and suction parameter.

KEYWORDS:

• Entropy generation
• Bejan number
• viscous dissipation
• joule heating
• stretching surface
• nonlinear radiation

Acknowledgement

The authors recognise that the DST-Purse scheme sponsored by Department of Science and Technology, Ministry of Science and Technology, Government of India at the Maharaja Sayajirao University of Baroda, has provided financial support.

Disclosure statement

No potential conflict of interest was reported by the author(s).