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Home > Issues > SearchMHD Flow of Brinkman Type H2O-Cu, Ag, TiO2 and Al2O3 Nanofluids with Chemical Reaction and Heat Generation Effects in a Porous Medium
Journal of Magnetics, Volume 24, Number 2, 30 Jun 2019, Pages 262-270
Arshad Khan (Institute of Business and Management Sciences, The University of Agriculture Peshawar), Dolat Khan (Department of Mathematics, City University of Science and Information Technology), Ilyas Khan * 
(Faculty of Mathematics and Statistics, Ton Duc Thang University), Farhad Ali (Department of Mathematics, City University of Science and Information Technology), Faizan ul Karim (Department of Mathematics, City University of Science and Information Technology), Kottakkaran Sooppy Nisar (Department of Mathematics, College of Arts and Sciences Wadi Aldawaser, Prince Sattam bin Abdulaziz University)
(Faculty of Mathematics and Statistics, Ton Duc Thang University), Farhad Ali (Department of Mathematics, City University of Science and Information Technology), Faizan ul Karim (Department of Mathematics, City University of Science and Information Technology), Kottakkaran Sooppy Nisar (Department of Mathematics, College of Arts and Sciences Wadi Aldawaser, Prince Sattam bin Abdulaziz University)
Abstract
This paper studies magnetohydrodynamic (MHD) flow of Brinkman type nanofluids with the influence of heat generation, chemical reaction and thermal radiation. The f luid i s taken ov er a v ertical plate flat p assing
through a porous medium. Four distinct types of nano particles (Cu, Ag, TiO2 and Al2O3) are taken in a base fluid H2O. The vertical plate with constant temperature is oscillating in its own plane. The flow is described by
the partial deferential equations with suitable initial and boundary conditions. The Laplace transform method is used to obtain the exact solutions for velocity, temperature and concentration. These solutions are interpreted
graphically using computational software Mathcad-15 to analyze the influence of embedded parameters such as Brinkman parameter, permeability of porous medium, chemical reaction parameter, nano particle volume
fraction, heat generation parameter, magnetic parameter and radiation parameter. Skin-friction, Sherwood number and Nusselt number are calculated mathematically.
through a porous medium. Four distinct types of nano particles (Cu, Ag, TiO2 and Al2O3) are taken in a base fluid H2O. The vertical plate with constant temperature is oscillating in its own plane. The flow is described by
the partial deferential equations with suitable initial and boundary conditions. The Laplace transform method is used to obtain the exact solutions for velocity, temperature and concentration. These solutions are interpreted
graphically using computational software Mathcad-15 to analyze the influence of embedded parameters such as Brinkman parameter, permeability of porous medium, chemical reaction parameter, nano particle volume
fraction, heat generation parameter, magnetic parameter and radiation parameter. Skin-friction, Sherwood number and Nusselt number are calculated mathematically.
Keywords: Nanofluid; Brinkman fluid; nano-particles; porous medium; heat generation
DOI: https://doi.org/10.4283/JMAG.2019.24.2.262
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