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Assignment 8 - CHEE 3363-Fluid Mechanics Assignment 8 Pro...

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CHEE 3363---Fluid Mechanics Assignment 8 Pro 5.42 The ? component of velocity in a two-dimensional, incompressible flow field is given by ? = −𝐴?? , where ? is in ? ? , ? and ? are in meters, and 𝐴 is a dimensional constant. There is no velocity component or variation in the ? direction. Determine the dimensions of the constant, 𝐴 . Find the simplest ? component of velocity in this flow field. Calculate the acceleration of a fluid particle at point ? , ? = (1,2) . Pro 8.16 In section 8-2 we derived the velocity profile between parallel plates (Eq. 8.5) by using a differential control volume. Instead, following the procedure we used in Example 5.9, derive Eq. 8.5 by starting with the Navier-Stokes equations (Eqs. 5.27). Be sure to state all assumptions. Pro 8.17 (neglect inertia/acceleration terms) Viscous liquid, at volume flow rate ? , is pumped through the central opening into the narrow gap between the parallel disks shown. The flow rate is low, so the flow is laminar, and the
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