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Aerodynamics problem

  1. Jan 21, 2017 #1
    1. The problem statement, all variables and given/known data
    The absolute value of the velocity and the equation of the streamlines in a velocity field are given, respectively,

    |V|=sqrt(x^2+2xy+2y^2) and y^2+2xy = C

    Find expressions for u and v.

    2. Relevant equations
    dy/dx = v/u
    |v| = sqrt(u^2+v^2)

    3. The attempt at a solution
    included in attachment
     

    Attached Files:

  2. jcsd
  3. Jan 24, 2017 #2

    RUber

    User Avatar
    Homework Helper

    Most of your steps look good. Remember that
    ##u^2 = f(x,y) ##
    implies
    ##u = \pm \sqrt{f(x,y)}.##
    This is important because you need to be consistent and keep ##\frac vu = -1##.
     
  4. Jan 24, 2017 #3
    Thanks, my only major concern is that when I take the partial derivative, how do I know which term to take derivatives in respect to y or x. Do I have to make assumptions?
     
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