HEAT TRANSFER THROUGH A POROUS MEDIUM OVER A STRETCHING SHEET WITH EFFECT OF VISCOUS DISSIPATION

Abstract

An analysis was carried out to study the flow and heat transfer characteristics in a second-grade fluid through a porous medium over a linear stretching surface with two general cases, namely PST and PHF, including the effect of viscous dissipation. The partial differential equations governing the flow and heat transfer are converted into nonlinear ordinary differential equations and boundary conditions by using suitable similarity transformation. The proposed problem was solved analytically by the power series method (using Kummer's function). The graphical results for velocity, skin-friction coefficient, and temperature (for PST and PHF cases) are presented and discussed. The numerical values of wall friction coefficient , wall temperature gradient θ_η(0), and wall temperature θ(0) are also calculated, tabulated, and discussed.

Keywords:

• Kummer's function
• Porous medium
• Skin friction
• Stretching sheet
• Viscous dissipation

Acknowledgments

The authors are thankful to the reviewers for their most useful comments and suggestions, improved the quality and clarity of our paper. This work is supported by University Grants Commission, New Delhi, India, under major research project (Grant F.No:39-59/2010 (SR).

Notes

When studying the effect of individual parameters the following values are assumed: k ₁ = 0.5, Pr = 1.0, E = 0.25, k ₂ = 0.5.

When studying the effect of individual parameters the following values are assumed: k ₁ = 0.5, Pr = 1.0, E = 0.25, k ₂ = 0.5.