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Homework Help: Bingham fluid in a falling film

  1. Feb 13, 2008 #1
    2) For Bingham fluid in a falling film. [tex]\tau[/tex]0.
    a) Find the equation for [tex]\tau[/tex]xz as a function of x using a shell balance.
    b) Solve for the minimum thickness of film that will allow flow of this Bingham fluid using the equation for a Bingham fluid and the correct boundary conditions.
    c) Solve this equation for vz as a function of x for a fluid whose thickness is greater than the minimum.
    d) Solve for the volumetric rate of flow Q.

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    For part a, we know the shell balance is exactly the same for a Newtonian or non-Newtonian fluid so. So the equation is
    τxz = ρ g x cos β

    I'm having trouble with the rest of the questions. For part b we use the no slip boundary conditions but I don't know how to solve it for a bingham model. Can anyone help me out?

    Thanks in advance.
     
  2. jcsd
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