Water is placed between two parallel plates. The bottom plate moves to the right

Question

Water is placed between two parallel plates. The bottom plate moves to the right at constant velocity V and the top plate is stationary. The water velocity profile shown below is observed at steady-state conditions (you are looking at a side-view of the plates and the water between the plates). Ignoring edge effects in this flow system, water moves in the x-direction only and therefore has only x-momentum. In which direction is the x-momentum being transferred? A. Transfer is in the -y direction (downward in the figure) because the velocity arrows get bigger as you move towards the bottom plate B. Transfer is in the +x direction (to the right in the figure because that?s the same direction as the velocity C. Transfer is in the +y direction (upward in the figure) because momentum is transported from a region of high momentum (near bottom plate) to low momentum (near top plate) D. Transfer is in the +x direction (to the right in the figure) because the drag force on the plates caused by friction is in the direction of the flow E. Transfer is in the -x direction (to the left in the figure: because momentum transfer and velocity act in opposite directions to each other

Explanation / Answer

E- transfer is in the -x direction (to the left in the figure) because momentum transfer and velocity act in oposite directions to each other

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