Unsteady natural convection Couette flow of heat generating/absorbing fluid between vertical parallel plates filled with porous material |
| |
Authors: | B K Jha M K Musa |
| |
Institution: | 1. Department of Mathematics, Ahmadu Bello University, Zaria 234, Nigeria;
2. Mathematics Unit, School of Basic and Remedial Studies, Ahmadu Bello University, Funtua 6007, Nigeria |
| |
Abstract: | The extended Brinkman Darcy model for momentum equations and an energy equation is used to calculate the unsteady natural
convection Couette flow of a viscous incompressible heat generating/absorbing fluid in a vertical channel (formed by two infinite
vertical and parallel plates) filled with the fluid-saturated porous medium. The flow is triggered by the asymmetric heating
and the accelerated motion of one of the bounding plates. The governing equations are simplified by the reasonable dimensionless
parameters and solved analytically by the Laplace transform techniques to obtain the closed form solutions of the velocity
and temperature profiles. Then, the skin friction and the rate of heat transfer are consequently derived. It is noticed that,
at different sections within the vertical channel, the fluid flow and the temperature profiles increase with time, which are
both higher near the moving plate. In particular, increasing the gap between the plates increases the velocity and the temperature
of the fluid, however, reduces the skin friction and the rate of heat transfer. |
| |
Keywords: | heat generating/absorbing fluid natural convection flow porous material acceleration motion |
本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录! |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
|