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SS laminar blood flow through a spherical aneurysm

  1. May 9, 2008 #1
    1. The problem statement, all variables and given/known data

    What are the equations that govern the steady laminar flow of blood, modeled as an isothermal,
    incompressible, Newtonian fluid, through an aneurysm in the aorta, which is idealized as a “spherical
    bulge” located in a straight tube?

    2. Relevant equations ??
    Assumptions: newtonian, SS, incompresible, isothermal ,laminar


    beyond this I'm confused on how to model this. there are lots of models that show flow around a sphere but not flow through a hollow sphere. I'm thinking that I going to have to use Bernoulli and possible a mass and momentum balance but whats confusing me is how to go from the cylindrical flow of the capillary to the spherical flow of the aneurysm. I'm not sure if there is some approximation Im supposed to make or what. I guess Im looking for suggestions on how to approach this.
    thanks



    3. The attempt at a solution
     
  2. jcsd
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