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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.
In a pipe consisting of two infinitely vertically parallel plates, filled with a porous dielectric material, the incompressible, viscous, put / endothermic fluid is calculated using the momentum equation of the Darcy model (generalized by Brinkman’s model) along with the energy equation The unstable natural convection in the pipeline, ie, the Couette flow, is caused by the asymmetric heating of the boundary plate and by the accelerating motion. By using reasonable dimensionless parameters, the governing equations are simplified and analyzed by the Laplace transform Solution, closed-type speed and temperature distribution curve solutions were obtained, and then the surface friction and heat transfer rate were derived.It was found that in different sections of the vertical pipeline, the flow and temperature distribution curve of fluid increased with time, In particular, the velocity and temperature of the fluid increase with increasing plate spacing, however, surface friction and thermal conductivity decrease as the plate spacing increases.