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There is steady fluid flow between to two parallel flat plates. The distance between two plates is 2h. The width(in z-direction) and length(in -direction) of the plate is W and Z, respectively. At the inlet, the incoming flow is uniform with speed of Un and gage pressure is pinle.gage. At the exit, the outgoing flow form a parabolic velocity profile with the maximum velocity of Umax, u=Umax (1-y/h2) and pressure is atmospheric pressure. (neglect the body force). a) Obtain the expression for Umax in terms of Uo. b) Obtain the expression for total force acting on two plates due to the fluid(magnitude and direction). 'L u=U inlet Pinketgage L h exit Pexit Patm