Determine the mass flowrate, volume flowrate, and average velocity for flow between parallel flat plates with the top plate moving described in Problem 6.10.
Problem 6.10
Figure P6.6 illustrates pressure-driven flow between horizontal parallel plates when the top plate is moving parallel to the bottom plate with velocity V. The Eulerian velocity field for this flow at low Reynolds numbers is given in Cartesian coordinates as:
where C is a constant.
(a) Determine the location of the maximum fluid velocity in this flow field.
(b) Determine the position of the minimum fluid velocity in this flow field.
(c) Sketch (by hand or with a computer) the velocity profile as a function of the coordinate x (at constant z) for this flow field.
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