In the lectures, we derived an expression for the velocity field for viscous flow between two parallel plates for two scenarios: with stationary plates and a pressure gradient ( ∂p ∂x ) in the direction of flow, and with moving plates but no pressure gradient. here we combine these two scenarios: suppose now that we again have two plates that are a distance of 2h apart, with the top plate is moving with a velocity of uu , and the bottom plate is moving with a velocity ul, and with a nonzero pressure gradient ∂p ∂x (which we can assume to be constant)