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FLUIDS: Potential Flow Question - HELP NEEDED

  1. May 1, 2013 #1
    FLUIDS: Potential Flow Question -- URGENT HELP NEEDED

    I need to submit this soon and I am way behind in this topic. I would appreciate it a lot if you can help me out figure the answer.

    1. The problem statement, all variables and given/known data
    In a uniform onset flow of 7 m/s parallel with the x axis, a source of strength 19 m2/s per metre is located at the origin (x=0, y=0) and a sink of equal strength is located at (x=2, y=0). Locate the x axis position of the most upstream stagnation point.

    Diagram:
    image.jpg

    2. Relevant equations
    I think it will be these:
    Capture.jpg
    Capture.jpg

    3. The attempt at a solution
    Figuring out the stream function:
    Psi = (lambda / 2pi)(theta_1 - theta_2)
    ....
    v=7m/s

    ...

    Brain%20Overload.jpg

    Ugh.. please just help me out on this. It's 5% of the unit. Thanks
     
  2. jcsd
  3. May 1, 2013 #2
    The velocity of the flow from the 19 m2/s source is [itex]\frac{19}{2π\sqrt{x^2+y^2}}[/itex] and is directed radially outward.

    The velocity of the flow from the 19 m2/s sink is [itex]-\frac{19}{2π\sqrt{(x-2)^2+y^2}}[/itex], and is directed radially outward.

    According to the problem statement, the stagnation point is along the x axis (y = 0).

    The combined overall velocity along the x axis is U + ?? + ??. What are the ??'s?
     
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