An Analytical Solution for Laminar Flow Through a Leaky Tube
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摘要: 研究了通过有漏孔管道时的层流,并解析地求解了动量方程和能量守恒方程.由Hagen-Poiseuille的速度分布,同时定义轴向和径向速度分量的未知函数,得到了压力和质量输运方程,并根据不同的参数,画出其分布图.结果表明,管道中的轴向速度、径向速度、质量输运参数和压力,随着流体沿管道的流动而减小.Abstract: The laminar flow through a leaky tube was investigated,and the momentum and conservation of energy equations were solved analytically.Using the Hagen-Poiseuille velocity profile and defining unknown functions for the axial and radial velocity components,pressure and mass transfer equations were obtained and their profiles were plotted according to different parameters.The results indicate that the axial velocity,the radial velocity,mass transfer parameter and pressure in the tube decrease as the fluid moves along the tube.
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Key words:
- leaky tube /
- permeability /
- mass transfer /
- laminar flow /
- analytical solution
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