Volume 5, Issue 4, December 2020, Page: 97-101
Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate
Zahida Khan, Department of Mathematics, University of Balochistan, Quetta, Pakistan
Abdul Rehman, Department of Mathematics, University of Balochistan, Quetta, Pakistan
Naveed Sheikh, Department of Mathematics, University of Balochistan, Quetta, Pakistan
Saleem Iqbal, Department of Mathematics, University of Balochistan, Quetta, Pakistan
Ejaz Sha, Department of Mathematics, University of Balochistan, Quetta, Pakistan
Received: Sep. 14, 2020;       Accepted: Oct. 13, 2020;       Published: Oct. 23, 2020
DOI: 10.11648/j.ajmcm.20200504.11      View  66      Downloads  26
Abstract
In the present article, an attempted have been made to study the behavior of boundary layer viscous fluid flow and heat transfer containing some nanosized solid particles flowing through a permeable porous medium. The problem was first modeled into a coupled system of nonlinear partial differential equations of conservation of mass, momentum and nanoparticle concentration. The system of coupled nonlinear boundary layer partial differential equations governing the flowing fluid momentum and heat transfer characteristics are reduced to a new simplified coupled nonlinear system of ordinary differential equations by means of a suitable similarity transformation. The transformed set of nonlinear coupled ordinary differential equations is than solved numerically by means of the fourth order numerical scheme the Runge-Kutta shooting method. The effects of important involved parameters that control the flow field and heat transfer characteristics, that is the viscosity parameter, the convection parameter, the Porosity parameter, the Prandtl number and the Lewis number have been obtained and discussed. Numerical solutions for velocity and temperature are sketched and graphically analyzed. The graphical results observed are indicating that by increasing the values of the non-dimensional viscosity parameter, the dimension less fluid flow profile increases, while for increasing values of the nanoparticles Brownian motion parameter, the nanoparticle concentration profile increases.
Keywords
Boundary Layer Flow, Permeable Medium, Porous Plate
To cite this article
Zahida Khan, Abdul Rehman, Naveed Sheikh, Saleem Iqbal, Ejaz Sha, Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate, American Journal of Mathematical and Computer Modelling. Vol. 5, No. 4, 2020, pp. 97-101. doi: 10.11648/j.ajmcm.20200504.11
Copyright
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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