An Analytical Solution for Laminar Flow Through a Leaky Tube
-
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.
-
Key words:
- leaky tube /
- permeability /
- mass transfer /
- laminar flow /
- analytical solution
-
[1] White A. Flow of fluid in an axially pipe[J]. Journal of Mechanical Engineering Science, 1964, 6: 47-52. doi: 10.1243/JMES_JOUR_1964_006_010_02 [2] Johnson R E. Steady state coating flows inside a rotating horizontal cylinder[J]. Journal of Fluid Mechanical, 1988, 190: 321-342. doi: 10.1017/S0022112088001338 [3] Canny M J. The xylem wedge as a functional unit speculation on the consequences of flow in a leaky tube[J]. New Phytologist, 1991, 118 (3): 367-374. doi: 10.1111/j.1469-8137.1991.tb00017.x [4] Civan F. Leaky-tube permeability model for identification, characterization, and calibration of reservoir flow units[C]SPE Annual Technical Conference and Exhibition. Denver, Colorado, 2003. [5] Nagib H M, Lavan Z, Fejer A A, Wolf L. Stability of pipe flow with superposed solid body rotation[J]. Physics Fluids, 1971, 14(4): 766-768. doi: 10.1063/1.1693503 [6] Munson B R, Young D F, Okiishi T H. Fundamentals of Fluid Mechanics[M]. 5th ed. John Wiley and Sons, 2006. [7] Mackrodt P A. Stability of Hagen-Poiseulle flow with superimposed rigid rotation[J]. Journal of Fluid Mechanic, 1976, 73: 153-164. doi: 10.1017/S0022112076001304 [8] Shchukin V K. Hydraulic resistance of rotating tubes[J]. Journal of Engineering Physics and Thermophysics, 1967, 12(6): 418-422. [9] Krger D G. Air-Cooled Heat Exchanger and Cooling Towers: Thermal Flow Performance Evaluation and Design[M]. Department of Mechanical Engineering, South Africa, 1998: 248-256. [10] Kikuyama K, Murakami M, Nishibori K, Kaeda K. Flow in an axially rotating pipe[J]. Bulletin of the JSME, 1983, 26 (214): 506-513. doi: 10.1299/jsme1958.26.506 -
点击查看大图
计量
- 文章访问数: 1876
- HTML全文浏览量: 152
- PDF下载量: 765
- 被引次数: 0
下载:
