THE PULSATILE FLOW OF A BURGERS' FLUID AND HEAT TRANSFER THROUGH A POROUS MEDIUM IN A CIRCULAR PIPE

被引:0
|
作者
El-Dabe, Nabil T. Mohamed [1 ]
Sallam, Sallam N. [1 ]
Hassan, Ahmed A. [1 ]
Hussein, Marwa M. [1 ]
机构
[1] Ain Shams Univ, Dept Math, Fac Educ, Cairo 11757, Egypt
关键词
Burgers' fluid; pulsatile flow; porous medium; heat transfer;
D O I
10.1615/SpecialTopicsRevPorousMedia.v1.i3.50
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, the effect of an ohmic dissipation on the pulsatile flow of an incompressible non-Newtonian fluid obeying Burgers" model with heat transfer is studied. The fluid flows in a circular pipe through a porous medium in the presence of a uniform magnetic field acting parallel to the pipe radius. The analytical solutions of the momentum and heat equations have been obtained in terms of Bessel and modified Bessel functions. Finally, we studied the effects of various parameters such as the magnetic parameter and the permeability coefficient on the velocity and temperature profiles of various types of fluids: a Newtonian fluid, a Maxwell fluid, an Oldroyd-B fluid, a second-grade fluid, and a Burgers' fluid.
引用
收藏
页码:243 / 255
页数:13
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