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Numerical investigation on activation energy of chemically reactive heat transfer unsteady flow with multiple slips

Aaqib Majeed (Department of Mathematics, Bacha Khan University, Charsadda, Pakistan)
Noorul Amin (Department of Mathematics, Bacha Khan University, Charsadda, Pakistan)
A. Zeeshan (Department of Mathematics, International Islamic University, Islamabad, Pakistan)
R. Ellahi (Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan and Center for Modeling and Computer Simulation, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia)
Sadiq M. Sait (Department of Computer Engineering, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia)
K. Vafai (Department of Mechanical Engineering, University of California Riverside, Riverside, California, USA)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 16 March 2020

Issue publication date: 15 October 2020

99

Abstract

Purpose

The purpose of this study is to examine the impact of activation energy with binary chemical reaction for unsteady flow on permeable stretching surface.

Design/methodology/approach

The simultaneous effects of multiple slip and magneto-hydrodynamic effects at the boundary are taken into account. The thermal buoyancy parameter and thermal radiation are included in both energy and momentum equations, while expression of activation energy is considered in concentration equation. Three-stage Lobatto IIIa finite difference collocation technique with bvp4c MATLAB package is used to obtained numerical results.

Findings

The influence of key elements (Schmidt number, buoyancy force ratio factor, factor of radiation, magnetic element, unsteadiness factor, suction/injection parameter, Prandtl number, activation energy, chemical reaction rate parameter, heat source and sink parameters, velocity, thermal and concentration slips, porosity parameter and temperature difference parameter) on velocity, temperature and concentration profiles are illustrated pictorially. A detailed discussion is presented to see how the graphical aspects justify the physical prospect.

Originality/value

In the best of author’s knowledge, this work is yet not available in existing literature.

Keywords

Acknowledgements

R. Ellahi gratefully thanks to King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia to honor him with the Chair Professor at KFUPM and providing him research funding under ORCP.

Citation

Majeed, A., Amin, N., Zeeshan, A., Ellahi, R., Sait, S.M. and Vafai, K. (2020), "Numerical investigation on activation energy of chemically reactive heat transfer unsteady flow with multiple slips", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 11, pp. 4955-4977. https://doi.org/10.1108/HFF-12-2019-0921

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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