MHD flow of nanofluids over an exponentially stretching sheet in a porous medium with convective boundary conditions

T. Hayat^{a b}, M. Imtiaz^{a}, A. Alsaedi^{b}, R. Mansoor^{a}

a Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;
b Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Abstract This article concentrates on the steady magnetohydrodynamic (MHD) flow of viscous nanofluid. The flow is caused by a permeable exponentially stretching surface. An incompressible fluid fills the porous space. A comparative study is made for the nanoparticles namely Copper (Cu), Silver (Ag), Alumina (Al_{2}O_{3}) and Titanium Oxide (TiO_{2}). Water is treated as a base fluid. Convective type boundary conditions are employed in modeling the heat transfer process. The non-linear partial differential equations governing the flow are reduced to an ordinary differential equation by similarity transformations. The obtained equations are then solved for the development of series solutions. Convergence of the obtained series solutions is explicitly discussed. The effects of different parameters on the velocity and temperature profiles are shown and analyzed through graphs.

Corresponding Authors:
T. Hayat
E-mail: pensy_t@yahoo.com

About author: 47.15.-x; 47.65.-d

Cite this article:

T. Hayat, M. Imtiaz, A. Alsaedi, R. Mansoor MHD flow of nanofluids over an exponentially stretching sheet in a porous medium with convective boundary conditions 2014 Chin. Phys. B 23 054701

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