Effects of heat and mass transfer on nonlinear MHD boundary layer flow over a shrinking sheet in the presence of suction

Abstract

This work is concerned with Magnetohydrodynamic viscous flow due to a shrinking sheet in the presence of suction. The cases of two dimensional and axisymmetric shrinking are discussed. The governing boundary layer equations are written into a dimensionless form by similarity transformations. The transformed coupled nonlinear ordinary differential equations are numerically solved by using an advanced numeric technique. Favorability comparisons with previously published work are presented. Numerical results for the dimensionless velocity, temperature and concentration profiles as well as for the skin friction, heat and mass transfer and deposition rate are obtained and displayed graphically for pertinent parameters to show interesting aspects of the solution.

Boundary layer flow and heat transfer over a permeable shrinking cylinder with surface mass transfer

“…So, to maintain the boundary layer structure of the flow one needs a certain amount of external opposite force at the sheet. Different aspects of the flow due to a shrinking sheet were discussed in the articles (Miklavčič and Wang, 2006;Hayat et al, 2007;Muhaimin et al, 2008;Fand and Zhang, 2009;Wang, 2008;Ishak et al, 2010;Bhattacharyya et al, 2011a;2011b;Rosali et al, 2011;Bhattacharyya, 2011a;2011b;2011c;Yacob et al, 2011;Bhattacharyya and Pop, 2011;Bhattacharyya, 2011d;2011e;Ishak et al, 2012;Bhattacharyya and Vajravelu, 2012;Rosali et al, 2012;. Motivated by the nature of the shrinking flow in the present paper, the axisymmetric boundary layer flow and heat transfer over a permeable shrinking cylinder with mass suction are investigated.…”

Effects of thermal radiation on MHD viscous fluid flow and heat transfer over nonlinear shrinking porous sheet

“…Recently, several attempts [1][2][3][4][5][6][7][8] have been made on the study of shrinking phenomena. Muhaimin and Khamis [9] studied the effects of heat and mass transfer on the nonlinear MHD viscous fluid flow over a shrinking sheet in the presence of suction. They explored the industrial application of the flow over a shrinking sheet in detail, and observed that the shrinking of the sheet had a substantial effect on the flow fields.…”

Effects of radiation and heat source/sink on unsteady MHD boundary layer flow and heat transfer over a shrinking sheet with suction/injection

“…(15) and (16) along with the boundary conditions Eqs. (17) and (18) have been solved numerically by finite difference method using the quasilinearization technique [47].…”

“…Muhaimin and Khamis. [16] displayed the effects of heat and mass transfer on MHD boundary layer flow over a shrinking sheet subjected to suction. Fang and Zhang [17] obtained a closed-form analytical solution for steady MHD flow over a porous shrinking sheet subjected to wall mass suction.…”