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Stream line plot

  1. Feb 10, 2008 #1
    1. The problem statement, all variables and given/known data
    In addition to the customary horizontal velocity components of the air in the atmosphere, there often are vertical air currents cuased by buoyant effects due to uneven heating of the air.

    Problem: Assume that the velocity field in a certain region is approximated by u=uo, v=vo(1-y/h) for 0<y<h, and u=uo, v=0 for y>h. Plot the shape of the stream line that passes through the origin for values of uo/vo=0.5, 1, and 2.

    2. Relevant equations

    3. The attempt at a solution

    How do I solve for the line? I got so far by doing dy/dx=v/u ... x=c(y-1/(2h)*y^2)
  2. jcsd
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