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Navier-Stokes equations for unique flow through a rectangular diverging pipe

  1. Mar 6, 2012 #1
    I am currently trying to provide a mathematical model that describes the flow through a diverging square pipe. I am trying to simplyfy the navier stokes equations by usings assumptions but am unsure if my current progress is correct.
    The problem is as follows:
    Fluid enters a section of a square cross sectioned pipe which undergoes an area expansion of 1:4. The flow is uniform and laminar at the inlet and fully developed before entering the expansion and at the outlet. Provide a mathimatical model which describes the unique flow through the pipe.
    By assuming steady state, incompressible, uniform flow with no body force in the direction of motion I can simplyfy considerably however I do not know how to take into account flow seperation at the divergance nor how to justify properly my assumptions :S
    anyone help pleaseee
  2. jcsd
  3. Mar 12, 2012 #2
    hi, classmate

  4. Mar 13, 2012 #3
    Anyone has some suggestion ?
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