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Fluid Mechanics: A conceptual problem based on Bernoulli's priciple

  1. Jan 1, 2012 #1
    View attachment 42357

    Note: I am completely discounting the ρgy term of Bernoulli's equation, considering it's effect negligible.

    In the situation above, will the difference in pressure at the two faces of the sheet be:

    [itex]\frac{1}{2}[/itex]ρv[itex]^{2}[/itex]

    or

    [itex]\frac{1}{2}[/itex][itex]\rho[/itex]v[itex]^{2}[/itex]cos[itex]^{2}[/itex][itex]\theta[/itex]
    (taking the component of the velocity along the sheet of paper)

    In addition to that, I know that two other forces act on the sheet, one being it's weight and the other is that caused by the particles of the airstream hitting the sheet. Is there any way to quantify the second one?

    Thanks a lot. A solution to these problems would help me relate the mean displacement of the sheet relative to different values of wind speed.
     
  2. jcsd
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