摘要
在一个由两块无限竖直平行板组成的管道中,充满着多孔的介质材料,使用Darcy模型(Brinkman模型的推广)的动量方程,连同能量方程,计算不可压缩、粘性、放/吸热流体在该管道中的不稳定自然对流,即Couette流动.流动是由于边界平板有不对称的加热,以及作加速运动所引起.选用合理的无量纲参数,对控制方程进行简化,通过Laplace变换进行解析求解,得到闭式的速度和温度分布曲线解,随后导出表面摩擦力和传热率.发现在竖直管道中的不同剖面,流体的流动及温度分布曲线随着时间而增加,且在运动平板附近更高.特别是,流体的速度和温度随着平板间距的增加而增加,但是,表面摩擦力和热传导率随着平板间距的增加而减小.
The extended Brinkman Darcy model for momentum equation,and an energy equation were 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 parallel plates） filled with fluid-saturated porous medium.The flow was triggered by the asymmetric heating and the acceleration motion of one of the bounding plates.The governing equations were simplified by the reasonable dimensionless parameters and solved analytically by the Laplace transform techniques to obtain closed form solutions for the velocity and temperature profiles.Then the skin friction as well as the rate of heat transfer were consequently derived.It is noticed that at different sections within the vertical channel,the fluid flow as well as the temperature profile increase with time and 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.
出处
《应用数学和力学》
CSCD
北大核心
2012年第3期292-302,共11页
Applied Mathematics and Mechanics
作者简介
BasantK．Jha（E—mail：basant777@yahoo．co．uk）；
Muhammad K．Musa，博士（联系人．E—mail：mmkabirxy@yahoo．com）．
