Open Access

ARTICLE

Thermal Analysis of MHD Non-Newtonian Nanofluids over a Porous Media

Asad Ejaz¹, Imran Abbas¹, Yasir Nawaz¹, Muhammad Shoaib Arif¹, Wasfi Shatanawi^2,3,4,*, Javeria Nawaz Abbasi⁵
1 Stochastic Analysis & Optimization Research Group, Department of Mathematics, Air University, Islamabad, 44000, Pakistan
2 Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia
3 Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan
4 Department of Mathematics, Hashemite University, Zarqa, 13116, Jordan
5 Department of Mathematics, Comsats University, Islamabad, 44000, Pakistan
* Corresponding Author: Wasfi Shatanawi. Email:
(This article belongs to this Special Issue: Modeling and Simulation of Fluid flows in Fractured Porous Media: Current Trends and Prospects)

Computer Modeling in Engineering & Sciences 2020, 125(3), 1119-1134. https://doi.org/10.32604/cmes.2020.012091

Received 14 June 2020; Accepted 07 September 2020; Issue published 15 December 2020

Abstract

In the present research, Tiwari and Das model are used for the impact of a magnetic field on non-Newtonian nanofluid flow in the presence of injection and suction. The PDEs are converted into ordinary differential equations (ODEs) using the similarity method. The obtained ordinary differential equations are solved numerically using shooting method along with RK-4. Part of the present study uses nanoparticles (NPs) like TiO₂ and Al₂O₃ and sodium carboxymethyl cellulose (CMC/water) is considered as a base fluid (BF). This study is conducted to find the influence of nanoparticles, Prandtl number, and magnetic field on velocity and temperature profile, however, the Nusselt number and coefficient of skin friction parameters are also presented in detail with the variation of nanoparticles and parameters. The obtained results of the present study are presented using MATLAB. In addition to these, some simulations of partial differential equations are also shown using software for graphing surface plots of velocity profile and streamlines along with surface plots and isothermal contours of the temperature profile.

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Keywords

MHD; non-Newtonian; nanofluids; porous medium; similarity solution; Blasius flow

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Citations