Heat transfer in a porous saturated wavy channel with asymmetric convective boundary conditions
来源期刊：中南大学学报(英文版)2015年第1期
论文作者：Q. Hussain S. Asghar T. Hayat A. Alsaedi
文章页码：392 - 401
Key words：peristalsis; heat transfer; porous medium; convective boundary conditions
Abstract: 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 Bi1≠Bi2, there exists a critical value of Brinkman number Brc at which the temperatures of both the walls become equal. And, for Bi1>Bi2 and Br>Brc, the temperature of the cold wall exceeds the temperature of hot wall.
Q. Hussain1, S. Asghar1, 2, T. Hayat2, 3, A. Alsaedi2
(1. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan;
2. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203,
Jeddah 21589, Saudi Arabia;
3. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan)
Abstract: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 Bi1≠Bi2, there exists a critical value of Brinkman number Brc at which the temperatures of both the walls become equal. And, for Bi1>Bi2 and Br>Brc, the temperature of the cold wall exceeds the temperature of hot wall.
Key words:peristalsis; heat transfer; porous medium; convective boundary conditions
