幂律流体在可渗透性管壁圆管中的流动

Power-law fluids flow in a circular tube with naturally permeable walls

为了解幂律流体在可渗透性管壁圆管中的流动机制,基于广义达西定理和幂律流体的本构方程,通过严格数学推导,得到了幂律流体在具有渗透性管壁的单根圆管中流动的速度分布和流量分布表达式.研究结果表明:幂律流体在可渗透性管壁的圆管中流动时的流量将比在刚性管壁圆管中的流量大,并且还得出幂指数n越大,通过圆管中的流量也越大的结论.

In order to understand the flow behavior mechanics of power-law fluids, the analytical expressions of velocity and flow rate for power-law fluids through a circular pipe with permeable wall are derived based on generalized Darcy＇s law and constitutive equation for power-law fluids. It is found that the flow rate for power-law fluids through a circular pipe with permeable wall is larger than that through a circular pipe with impermeable wall and the flow rate increases with the increase of power index n.