Question: problem # 3 ( 30 points) The flow of a Newtonian fluid between two parallel horizontal plates separated by a distance 2h can be described

$problem \# 3 ( 30 points) The flow of a Newtonian$

problem \# 3 ( 30 points) The flow of a Newtonian fluid between two parallel horizontal plates separated by a distance 2h can be described by the x-component of the DtDx=gxxP+(x22vx+y22vx+z22vx), eq. (9-18a) where, DtDvx=tvx+vxxvx+vyyvx+vzzvx a) State all assumptions made in the development of this equation b) If the flow is fully developed and steady, evaluate and justify your evaluation of each term of the above equation, to reduce it to the applicable differential equation describing this flow. c) If both plates are stationary, state the necessary boundary conditions needed to solve the differential equation. d) Solve the differential equation to obtain the velocity profile of this flow. e) What is the maximum velocity of the flow? and show analytically its location

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