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Homework Help: Flow problem

  1. Dec 18, 2009 #1
    1. The problem statement, all variables and given/known data

    A flow is described by velocity field V=(ay)i + bj, where a = 1, and b = 2. Co-ordinates are measured in meters. Obtain the equaion for the streamline passing through point (6,6). At t = 1 seconds, what are the co-ordinates of the particle that passed through the point (-3,0) 2 seconds earlier.

    2. Relevant equations

    V = (ay) i + bj

    3. The attempt at a solution

    From the values of a and b, we have V = yi + 2j.
    dy/dx = v/u = 2/y.

    Integrating throughout,
    (y^2)/2 = 2x + c.

    @(6,6) -> 18 = 12 + C

    C = 6

    therefore, (y^2)/2 = 2x+6

    I can't figure out how to fine the other part of the problem. i.e. "At t = 1 seconds, what are the co-ordinates of the particle that passed through the point (-3,0) 2 seconds earlier. ".
     
  2. jcsd
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