流体在内管做行星运动的环空中流动的压力梯度

Pressure gradient of Newtonian fluid flow in annulus with inner cylinder executing planetary motion

利用待定系数法对牛顿流体在内管做行星运动的环空中流动的运动方程进行了变换,得到了给定流量条件下牛顿流体在内管做行星运动的环空中流动的压力梯度计算公式。采用有限差分法对水在内管做行星运动的环空中流动的压力梯度进行了数值计算。结果表明,压力梯度随环空偏心度的增大而减小,随流量的增大而增大。

The kinematic equations of the flow of Newtonian fluid in annulus with the inner cylinder executing a planetary motion were transformed using undetermined coefficient method, and the calculation formula of pressure gradient of the flow was obtained with the given flow rate. Taking water as an example, the pressure gradient was numerically calculated by finite difference method. The calculation results show that the pressure gradient decreases with the annular eccentricity increasing and increases with the flow rate increasing.