Variable fluid properties and variable heat flux effects on the flow and heat transfer in a non-Newtonian Maxwell fluid over an unsteady stretching sheet with slip velocity

doi:10.1088/1674-1056/22/9/094701

中国物理B ›› 2013, Vol. 22 ›› Issue (9): 94701-094701.doi: 10.1088/1674-1056/22/9/094701

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Variable fluid properties and variable heat flux effects on the flow and heat transfer in a non-Newtonian Maxwell fluid over an unsteady stretching sheet with slip velocity

Ahmed M. Megahed

Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

收稿日期:2012-11-27 修回日期:2013-01-29 出版日期:2013-07-26 发布日期:2013-07-26

Variable fluid properties and variable heat flux effects on the flow and heat transfer in a non-Newtonian Maxwell fluid over an unsteady stretching sheet with slip velocity

Ahmed M. Megahed

Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

Received:2012-11-27 Revised:2013-01-29 Online:2013-07-26 Published:2013-07-26
Contact: Ahmed M. Megahed E-mail:ah_mg_sh@yahoo.com

摘要/Abstract

摘要： The effects of variable fluid properties and variable heat flux on the flow and heat transfer of a non-Newtonian Maxwell fluid over an unsteady stretching sheet in the presence of slip velocity have been studied. The governing differential equations are transformed into a set of coupled non-linear ordinary differential equations and then solved with a numerical technique using appropriate boundary conditions for various physical parameters. The numerical solution for the governing non-linear boundary value problem is based on applying the fourth-order Runge-Kutta method coupled with the shooting technique over the entire range of physical parameters. The effects of various parameters like the viscosity parameter, thermal conductivity parameter, unsteadiness parameter, slip velocity parameter, the Deborah number, and the Prandtl number on the flow and temperature profiles as well as on the local skin-friction coefficient and the local Nusselt number are presented and discussed. Comparison of numerical results is made with the earlier published results under limiting cases.

关键词: Maxwell fluid, unsteady stretching sheet, variable fluid properties, variable heat flux

Abstract: The effects of variable fluid properties and variable heat flux on the flow and heat transfer of a non-Newtonian Maxwell fluid over an unsteady stretching sheet in the presence of slip velocity have been studied. The governing differential equations are transformed into a set of coupled non-linear ordinary differential equations and then solved with a numerical technique using appropriate boundary conditions for various physical parameters. The numerical solution for the governing non-linear boundary value problem is based on applying the fourth-order Runge-Kutta method coupled with the shooting technique over the entire range of physical parameters. The effects of various parameters like the viscosity parameter, thermal conductivity parameter, unsteadiness parameter, slip velocity parameter, the Deborah number, and the Prandtl number on the flow and temperature profiles as well as on the local skin-friction coefficient and the local Nusselt number are presented and discussed. Comparison of numerical results is made with the earlier published results under limiting cases.

Key words: Maxwell fluid, unsteady stretching sheet, variable fluid properties, variable heat flux

中图分类号: (Non-Newtonian fluid flows)

47.50.-d

47.15.Cb (Laminar boundary layers) 47.45.Gx (Slip flows and accommodation) 47.10.ad (Navier-Stokes equations)

Ahmed M. Megahed. Variable fluid properties and variable heat flux effects on the flow and heat transfer in a non-Newtonian Maxwell fluid over an unsteady stretching sheet with slip velocity[J]. 中国物理B, 2013, 22(9): 94701-094701.

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Variable fluid properties and variable heat flux effects on the flow and heat transfer in a non-Newtonian Maxwell fluid over an unsteady stretching sheet with slip velocity

Variable fluid properties and variable heat flux effects on the flow and heat transfer in a non-Newtonian Maxwell fluid over an unsteady stretching sheet with slip velocity

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