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Fluids: potential flow, calculating gauge pressure from two sources

  1. May 10, 2013 #1
    1. The problem statement, all variables and given/known data

    In a plane onset flow of 4 m/s, a source of strength 13 m2/s per metre is located at the origin (x=0, y=0) and another source of strength 18 m2/s per metre is located at (x=3m, y=0). Calculate the gauge pressure at the point (0, 2m), Take ρ =1.2kg/m3

    sUgu9P3.png

    2. Relevant equations

    8E305WJ.png

    3. The attempt at a solution

    I have attempted to work out the velocities, 13/(2pi*√x^2+y^2) and 18/(2pi*√(x-3)^2+y^2) and θ = 1.249 radians, although am somewhat unsure of how to proceed.

    any help would be greatly appreciated! thanks
     
  2. jcsd
  3. May 10, 2013 #2
    What is the magnitude of the velocity vector associated with each of the two sources at the point p?

    What are the components of these velocity vectors in the x- and y-directions at point p?

    What are the components of the velocity vector associated with the flow U at point p?

    What are the components of the overall velocity vector at point p?

    What are the components of the velocity of the fluid at infinity?

    I presume that you need to calculate the gauge pressure as the pressure at point p minus the pressure at infinity.
     
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