Water flows down between two vertical infinite parallel plates. The distance between the plates is 25 cm. The two plates are moving downward at a constant speed U, = 5 m/s. At the same time, a third...


Water flows down between two vertical infinite parallel plates. The distance between the plates<br>is 25 cm. The two plates are moving downward at a constant speed U, = 5 m/s. At the same<br>time, a third plate with a thickness, b, located midway between the other two plates, is moving<br>upward at a constant speed U, = 10 m/s. The flow is assumed steady, incompressible and<br>laminar. Using the Navier-Stokes equations, compute:<br>%3D<br>a) The value of b for which the volumetric flow rate (per unit length) between the two<br>parallel plates vanishes.<br>b) The maximum shear stress, if b = 23 cm.<br>%3D<br>

Extracted text: Water flows down between two vertical infinite parallel plates. The distance between the plates is 25 cm. The two plates are moving downward at a constant speed U, = 5 m/s. At the same time, a third plate with a thickness, b, located midway between the other two plates, is moving upward at a constant speed U, = 10 m/s. The flow is assumed steady, incompressible and laminar. Using the Navier-Stokes equations, compute: %3D a) The value of b for which the volumetric flow rate (per unit length) between the two parallel plates vanishes. b) The maximum shear stress, if b = 23 cm. %3D

Jun 11, 2022
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