Heat transfer in a porous saturated wavy channel with asymmetric convective boundary conditions

被引:7
|
作者
Hussain, Q. [1 ]
Asghar, S. [1 ,2 ]
Hayat, T. [2 ,3 ]
Alsaedi, A. [2 ]
机构
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan
[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[3] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan
关键词
peristalsis; heat transfer; porous medium; convective boundary conditions; MHD PERISTALTIC FLOW; NEWTONIAN FLUID; MIXED CONVECTION; VERTICAL CHANNEL; WALL PROPERTIES; MAXWELL FLUID; MASS-TRANSFER; TRANSPORT; NUMBER; SPACE;
D O I
10.1007/s11771-015-2534-6
中图分类号
TF [冶金工业];
学科分类号
0806 ;
摘要
The viscous flow in a wavy channel with convective boundary conditions is investigated. The channel is filled with a porous viscous fluid. Two cases of equal and different external convection coefficients on the walls are taken into account. Effect of viscous dissipation is also considered. The governing equations are derived employing long wavelength and low Reynolds number approximations. Exact closed form solutions are obtained for the simplified equations. Important physical features for peristaltic flow caused by the wavy wave are pumping, trapping and heat transfer rate at the channel walls. These are discussed one by one in depth and detail through graphical illustrations. Special attention has been given to the effects of convective boundary conditions. The results show that for Bi (1)not equal Bi (2), there exists a critical value of Brinkman number Br (c) at which the temperatures of both the walls become equal. And, for Bi (1)> Bi (2) and Br > Br (c), the temperature of the cold wall exceeds the temperature of hot wall.
引用
收藏
页码:392 / 401
页数:10
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