The velocity field for a plane vortex sink is given by (vec{V}=(-q / 2 pi r) hat{e}_{r}+(K

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The velocity field for a plane vortex sink is given by \(\vec{V}=(-q / 2 \pi r) \hat{e}_{r}+(K / 2 \pi r) \hat{e}_{\theta}\), where \(q=2 \mathrm{~m}^{3} / \mathrm{s} / \mathrm{m}\) and \(K=1\) \(\mathrm{m}^{3} / \mathrm{s} / \mathrm{m}\). The fluid density is \(1000 \mathrm{~kg} / \mathrm{m}^{3}\). Find the acceleration at \((1,0),(1, \pi / 2)\), and \((2,0)\). Evaluate \(abla p\) under the same conditions.

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Fox And McDonald's Introduction To Fluid Mechanics

ISBN: 9781118912652

9th Edition

Authors: Philip J. Pritchard, John W. Mitchell

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