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Force of sphere due to doublet

  1. Nov 2, 2012 #1
    1. The problem statement, all variables and given/known data
    Consider ideal 3D flow. Let the center of a sphere of radius "a" be on the reference axis at the origin. Let a doublet of strength "m" be on the reference axis to the right of the sphere at a distance L=3a. Find the force acting on a sphere due to the doublet

    2. Relevant equations
    Force due to doublet: F = -ρm[itex]\frac{\partial u_{i}}{\partial x}[/itex]

    3. The attempt at a solution
    I'll be honest, at this point my classmates and I are at a complete loss. I know I need to calculate the velocity potential in terms of r & θ and then take the derivative of the velocity potential to obtain the velocity. With the velocity I can plug it into the equation above. Any guidance or ideas would be great! Thank you in advance!
     
  2. jcsd
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