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I (Fluid Mechanics) stream function graph

  1. Mar 29, 2017 #1
    Hello, I got this stream function
    ψ(r,θ)=sqrt(r)*sin(θ/2)

    I have to draw the streamlines of this fuction, however, I'm not sure how to afford this, should I consider this just like a normal function that depends on tetha and rho, or it's more like a polar plot?

    When i drew the streamlines using polars, I got a family of cardioids(heart-like graph). When I plotted this on matlab, keeping r constant, I got a sin, which it's pretty obvious, but I dont think that's correct.

    What do you guys think?
     
  2. jcsd
  3. Mar 30, 2017 #2
    I think you are supposed to plot ##\Psi(r,\theta)=C=\mathrm{constant}## for different values of C. For each value you will get a curve in the x-y plane.
     
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