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Consider fluid flow in a gap of thickness 2b (in z-direction, bzb ) between two stationary parallel plates of length L and width W. The

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Consider fluid flow in a gap of thickness 2b (in z-direction, bzb ) between two stationary parallel plates of length L and width W. The flow is driven by a pressure difference between P0 at (x,z)=(0,0) and PL at (x,z)=(L,0). There is no pressure difference in the y-direction. a. Perform a shell balance to show that the viscous stress tensor's zx-component is zx(z)=LP0PLz b. Show that the x-velocity profile is given by vx(z)=2b2LP0PL(1(bz)2) c. Find expressions for the xx component of the combined momentum flux tensor at (x,z)=(0,b) and (x,z)=(L,0). (Hint: Don't neglect the fluid pressure.)

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