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Velocity potential for wind over a semi cylinder

  1. Apr 28, 2010 #1
    1. The problem statement, all variables and given/known data
    A wind flows along the horizontal ground with strength U and over a long semi cylinder. The flow can be described using two dimensional potential theory
    Find the velocity potential

    2. Relevant equations

    3. The attempt at a solution

    I'm not sure what to do.

    The equations for velocity potential are
    vr = [tex]\frac{d\phi}{dr}[/tex] and v[tex]\theta[/tex] = [tex]\frac{d \phi}{rd \theta}[/tex]

    Can I say that there is no wind flowing trough the walls so vr = 0
    and that v[tex]\theta[/tex] = U because air is incompressible?

    I'm not sure at all.

    3. The attempt at a solution
  2. jcsd
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