1. Given the velocity distribution u=kx v=-ky w=0 where k is a constant, solve f
ID: 1414122 • Letter: 1
Question
1. Given the velocity distribution u=kx v=-ky w=0 where k is a constant, solve for the equation of the streamlines. Sketch a streamline in the 1st quadrant on the xy plane.2. Same as above, except u =Asin(theta) v=Asin(theta) w=0 where A and theta are constants 1. Given the velocity distribution u=kx v=-ky w=0 where k is a constant, solve for the equation of the streamlines. Sketch a streamline in the 1st quadrant on the xy plane.
2. Same as above, except u =Asin(theta) v=Asin(theta) w=0 where A and theta are constants
2. Same as above, except u =Asin(theta) v=Asin(theta) w=0 where A and theta are constants
Explanation / Answer
the velocity in x direction is kx.
du/dx=kx.
dx/x=kdt.
integrating.
x=c1e^kt. equation 1.
the velocity in the y direction is given by dy/dt =-ky.
dy/y=-ky .
integrating
y=c2*e^-kt. equation 2.
multiplying 1 and 2
xy =c1*c2.
rectangualr hyperbola.
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