Scaling Transformation for the Effect of Temperature-Dependent Fluid Viscosity with Thermophoresis Particle Deposition on MHD-Free Convective Heat and Mass Transfer Over a Porous Stretching Surface

Ismoen, Muhaimin and Kandasamy, Ramasamy (2010) Scaling Transformation for the Effect of Temperature-Dependent Fluid Viscosity with Thermophoresis Particle Deposition on MHD-Free Convective Heat and Mass Transfer Over a Porous Stretching Surface. Transport in Porous Media, 84 (2). pp. 549-568. ISSN 01693913

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Abstract

This article concerns with a steady two-dimensional flow of an electrically conducting incompressible fluid over a vertical stretching sheet. The flow is permeated by a uniform transverse magnetic field. The fluid viscosity is assumed to vary as a linear function of temperature. A scaling group of transformations is applied to the governing equations. The system remains invariant due to some relations among the parameters of the transformations. After finding three absolute invariants, a third-order ordinary differential equation corresponding to the momentum equation, and two second-order ordinary differential equations corresponding to energy and diffusion equations are derived. The equations along with the boundary conditions are solved numerically. It is found that the decrease in the temperature-dependent fluid viscosity makes the velocity to decrease with the increasing distance of the stretching sheet. At a particular point of the sheet, the fluid velocity decreases with the decreasing viscosity but the temperature increases in this case. Impact of thermophoresis particle deposition in the presence of temperature-dependent fluid viscosity plays an important role on the concentration boundary layer. The results, thus, obtained are presented graphically and discussed.

Item Type:Article
Uncontrolled Keywords:concentration boundary layer; convective heat; Diffusion equations; Effect of temperature; Fluid velocities
Subjects:Q Science > QC Physics
Divisions:Faculty of Science, Technology and Human Development > Department of Science and Mathematics
ID Code:2339
Deposited By:M.Iqbal Zainal A
Deposited On:08 Nov 2012 15:23
Last Modified:08 Nov 2012 15:23

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