A two-dimensional (line) source of strength q = 20 m /s located at (3, 0) and...

  

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A two-dimensional (line) source of strength q = 20 m /s located at (3, 0) and an irrotational vortex of circulation T located at (0, 4) are superposed with a uniform flow having a horizontal velocity towards the left of U = 1 m/s, as shown in Figure 5. The fluid density is 1000 kg/m3 . Ignore the effects of gravity. The origin O corresponds to a stagnation point .() Determine the circulation of the vortex r. (i) Determine the flow velocity at the point (-3, 0) (i) Determine the pressure difference between the origin O and the point (-3, 0). Uniform Flow U = 1 m/s 9=20 m2/s -3 31 Figure 5 A two-dimensional (line) source of strength q = 20 m /s located at (3, 0) and an irrotational vortex of circulation T located at (0, 4) are superposed with a uniform flow having a horizontal velocity towards the left of U = 1 m/s, as shown in Figure 5. The fluid density is 1000 kg/m3 . Ignore the effects of gravity. The origin O corresponds to a stagnation point .() Determine the circulation of the vortex r. (i) Determine the flow velocity at the point (-3, 0) (i) Determine the pressure difference between the origin O and the point (-3, 0). Uniform Flow U = 1 m/s 9=20 m2/s -3 31 Figure 5