环形截面柱形管中粘性流体的研究(英文)

Study of Viscous Fluid Flow in Ring Cross-Sectional Cylindrical Pipes

对环形截面柱形管中粘性流体的稳流和非平稳流进行了研究,得到了速度和粘性应力分布的规律,并且提出了能量损失的计算方法.通过Nave-Stocks方程式和用Weber函数对它们积分,对非平稳流进行了研究.通过建立数学模型,得到在一般边界条件下的封闭解.当流体处于静止状态并且在t=0时,压力系数变化率在流体上产生作用,在通解的基础上得到对非平稳流的解.同时获得瞬时和平均速度、动能和能量损失的变化规律.通过数值计算,对瞬时和平均速度,动能和动能损失系数变化量,以及由于粘性应力而造成的一般能量损失实验结果图进行了绘制.

The paper presents steady and unsteady flow of viscous fluid in a pipe of ring cross-section.Regularities of velocity and friction stress distribution have been obtained and an calculation method for energy losses has been suggested.The study of unsteady flow was carried out by Nave-Stocks equations and for their integration the Weber function was employed.To develop a mathematical model closed solutions for the general boundary conditions have been obtained.Based on general solutions of the problem solutions have been obtained for accelerating unsteady flow,when the fluid was in state of rest and at t=0 pressure constant gradient effects on the fluid.Laws of change for instantaneous and average velocities,momentum and kinetic energy loss coefficients have been obtained.By computerized experimental investigations patterns for instantaneous and average velocities,momentum and kinetic energy coefficients variations and general energy loss due to frictional stresses have been plotted.