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A hybrid investigation on numerical and analytical solutions of electro-magnetohydrodynamics flow of nanofluid through porous media with entropy generation

R. Ellahi (Center for Modeling and Computer Simulation, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia and Department of Mathematics and Statistics, Faculty of Basic and Applied Sciences (FBAS) International Islamic University Islamabad (IIUI), Islamabad, Pakistan)
Sadiq M. Sait (Center for Communications and IT Research, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia)
N. Shehzad (Department of Mathematics and Statistics, Faculty of Basic and Applied Sciences (FBAS) International Islamic University Islamabad (IIUI), Islamabad, Pakistan)
Z. Ayaz (Department of Mathematics and Statistics, Faculty of Basic and Applied Sciences (FBAS) International Islamic University Islamabad (IIUI), Islamabad, Pakistan)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Publication date: 12 August 2019

Abstract

Purpose

The purpose of this paper is to present the investigation of the pressure-driven flow of aluminum oxide-water based nanofluid with the combined effect of entropy generation and radiative electro-magnetohydrodynamics filled with porous media inside a symmetric wavy channel.

Design/methodology/approach

The non-linear coupled differential equations are first converted into a number of ordinary differential equations with appropriate transformations and then analytical solutions are obtained by homotopic approach. Numerical simulation has been designed by the most efficient approach known homotopic-based Mathematica package BVPh 2.0 technique. The long wavelength approximation over the channel walls is taken into account. The obtained analytical results have been validated through graphs to infer the role of most involved pertinent parameters, whereas the characteristics of heat transfer and shear stress phenomena are presented and examined numerically.

Findings

It is found that the velocity profile decreases near to the channel. This is in accordance with the physical expectation because resistive force acts opposite the direction of fluid motion, which causes a decrease in velocity. It is seen that when the electromagnetic parameter increases then the velocity close to the central walls decreases whereas quite an opposite behavior is noted near to the walls. This happens because of the combined influence of electro-magnetohydrodynamics. It is perceived that by increasing the magnetic field parameter, Darcy number, radiation parameter, electromagnetic parameter and the temperature profile increases, and this is because of thermal buoyancy effect. For radiation and electromagnetic parameters, energy loss at the lower wall has substantial impact compared to the upper wall. Residual error minimizes at 20th order iterations.

Originality/value

The proposed prospective model is designed to explore the simultaneous effects of aluminum oxide-water base nanofluid, electro-magnetohydrodynamics and entropy generation through porous media. To the best of author’s knowledge, this model is reported for the first time.

Keywords

Citation

Ellahi, R., Sait, S.M., Shehzad, N. and Ayaz, Z. (2019), "A hybrid investigation on numerical and analytical solutions of electro-magnetohydrodynamics flow of nanofluid through porous media with entropy generation", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 2, pp. 834-854. https://doi.org/10.1108/HFF-06-2019-0506

Publisher

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Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited