Water (density p) flows through a slot which has constant height h and is connec

Question

Water (density p) flows through a slot which has constant height h and is connected to the wall by a supporting stand as shown in the diagram. Let w be the width of the slot into the page. Flow velocity at section 1 is uniformly u while velocity profile at section 2 is given by:

v(x)=umax(1-(x/2h))

Assume steady and incompressible flow and neglect all body forces. Compute the tension t in the support in terms of p,h,w, and u. Hint: Use conservation of mass to express umax in terms of u

u_max^^ ^ ^ u_min=.5(u_max)

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______________/

--->diameter=h /

--->_____________________/

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Explanation / Answer

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