Mofid Gorjid, Morteza Alipanah, Majid Shateri, Elham Farnad. An Analytical Solution for Laminar Flow Through a Leaky Tube[J]. Applied Mathematics and Mechanics, 2011, 32(1): 66-71. doi: 10.3879/j.issn.1000-0887.2011.01.007
Citation: Mofid Gorjid, Morteza Alipanah, Majid Shateri, Elham Farnad. An Analytical Solution for Laminar Flow Through a Leaky Tube[J]. Applied Mathematics and Mechanics, 2011, 32(1): 66-71. doi: 10.3879/j.issn.1000-0887.2011.01.007

An Analytical Solution for Laminar Flow Through a Leaky Tube

doi: 10.3879/j.issn.1000-0887.2011.01.007
  • Received Date: 2010-08-14
  • Rev Recd Date: 2010-11-27
  • Publish Date: 2011-01-15
  • 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.
  • loading
  • [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]
    Krger 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
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1993) PDF downloads(765) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return