Effects of different viscous dissipation and Joule heating on electromagnetohydrodynamic flow of power-law fluid in the porous microchannel

Abstract

Of concern in this paper is a theoretical investigation of Electromagnetohydrodynamic (EMHD) flow transport of a non-Newtonian power-law fluid through a porous microchannel based on the Brinkman-Forchheimer extended Darcy model. The impact of joule heating and different viscous dissipations (the Al-Hadharami term, Darcy term and Forchheimer term) on thermal transport was analysed by considering the EMHD flow through the porous microchannel. The governing nonlinear equations are solved numerically to analyse the characteristics of velocity and temperature distributions. Observing a Nusselt number variation for different parameter values is interesting. It also indicated from the effects that the heat transfer rate performed better for the pseudoplastic fluid than the dilatant fluid. It was also significantly influenced by different viscous dissipation terms. The apprehensible changes in the temperature profiles are found due to the additional viscous dissipation terms and joule heating shown in the channel’s middle layers for all the fluids.

KEYWORDS:

• EMHD flow
• Joule heating
• microchannel
• porous media
• viscous dissipation

Acknowledgements

The authors greatly acknowledge the esteemed reviewers for their constructive suggestions. The author (M. Reza) would like to acknowledge this support. The author (A. Rana) greatly acknowledges the financial support of Govt. of West Bengal, India, under the scheme of the SVMCM (Swami Vivekananda Merit Cum Means) fellowship.

Disclosure statement

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

Additional information

Funding

This work was supported by the Science and Engineering Research Board (SERB), Govt. of India (grant no EMR/2016/006383).