Problem 2.13 - Problem 2.13[Difficulty 3 Given Flow field...

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Problem 2.13 [Difficulty: 3] Given: Flow field Find: Plot of velocity magnitude along axes, and y = x; Equations of streamlines Solution: On the x axis, y = 0, so u q x 2 π x 2 y 2 + ( ) = q 2 π x = v q y 2 π x 2 y 2 + ( ) = 0 = 1 0.5 0 0.5 1 100 50 50 100 x (km) u (m/s) Plotting The velocity is very high close to the origin, and falls off to zero. It is also along the axis. This can be plotted in Excel . On the y axis, x = 0, so u q x 2 π x 2 y 2 + ( ) = 0 = v q y 2 π x 2 y 2 + ( ) = q 2 π y = 1 0.5 0 0.5 1 100 60 20 20 60 100 y (km) v (m/s) Plotting The velocity is again very high close to the origin, and falls off to zero. It is also along the axis. This can also be plotted in Excel.
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