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Heat transport of nano-micropolar fluid with an exponential heat source on a convectively heated elongated plate using numerical computation

P.K. Pattnaik (Department of Mathematics, College of Engineering and Technology, Bhubaneswar, India)
S.R. Mishra (Department of Mathematics, Shiksha O Anusandhan (Deemed to University), Bhubaneswar, India)
B. Mahanthesh (Department of Mathematics, CHRIST, (Deemed to be University), Bangalore, India)
B.J. Gireesha (Department of Mathematics, Kuvempu University, Shimoga, India)
Mohammad Rahimi-Gorji (Experimental Surgery Lab, Faculty of Medicine and Health Science, Ghent University, Ghent, Belgium) (Biofluid, Tissue and Solid Mechanics for Medical Applications Lab (IBiTech‐ BioMMeda), Ghent University, Ghent, Belgium)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 13 April 2020

Issue publication date: 16 September 2020

57

Abstract

Purpose

The study of novel exponential heat source phenomena across a flowing fluid with a suspension of microparticles and nanoparticles towards a convectively heated plate has been an open question. Therefore, the impact of the exponential heat source in the transport of nano micropolar fluid in the existence of magnetic dipole, Joule heating, viscous heating and convective condition effects has been analytically investigated. Influence of chemical reaction has also been exhibited in this discussion.

Design/methodology/approach

The leading equations are constructed via conservation equations of transport, micro-rotation, energy and solute under the non-transient state situation. Suitable stretching transformations are used to transform the system of partial differential equations to ordinary. The transformed ODEs admit numerical solution via Runge–Kutta fourth order method along with shooting technique.

Findings

The effects of pertinent physical parameters characterizing the flow phenomena are presented through graphs and discussed. The inclusion of microparticles and nanoparticles greatly affects the flow phenomena. The impact of the exponential heat source (EHS) advances the heat transfer characteristics significantly compared to usual thermal-based heat source (THS). The thermal performance can be improved through the effects of a magnetic dipole, viscous heating, Joule heating and convective condition.

Originality/value

The effectiveness of EHS phenomena in the dynamics of nano micropolar fluid past an elongated plate which is convectively heated with regression analysis is for the first time investigated.

Keywords

Acknowledgements

The author (B. Mahanthesh) gratefully acknowledges the support of the Management of CHRIST (Deemed to be University), Bangalore, INDIA for pursuing this work. Also, we are very grateful for the Editor and reviewer for their constructive suggestions.

Citation

Pattnaik, P.K., Mishra, S.R., Mahanthesh, B., Gireesha, B.J. and Rahimi-Gorji, M. (2020), "Heat transport of nano-micropolar fluid with an exponential heat source on a convectively heated elongated plate using numerical computation", Multidiscipline Modeling in Materials and Structures, Vol. 16 No. 5, pp. 1295-1312. https://doi.org/10.1108/MMMS-12-2018-0222

Publisher

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Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited

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