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 qx 2 π x 2 y 2 + () = q 2 π x = v qy 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 2 π x 2 y 2 + = 0 = v 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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On the y = x axis u qx 2 π x 2 x 2 + () = q 4 π x = v 2 π x 2 x 2 + = q 4 π x = The flow is parallel to line y = x: Slope of line y = x: 1 Slope of trajectory of motion:
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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

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