A Newtonian fluid is confined between two broad, parallel vertical plates having a length (L) and separated by a gap (B). The plate on the left is stationary, but the plate on the right is moving vertically upward at a velocity v.The laminar flow between the plates is driven by three effects: gravity, the movement of the plate on the right, and an applied pressure gradient (dp/dy) in the vertical (y) direction.
A. Using a shell balance approach, derive a microscopic, steady-state momentum balance on the
fluid between the plates.