Question 2: Start up of pressure driven parallel plate flow. A liquid is forced to flow between two parallel plates as shown in Figure 2. At the entrance of the plates (x = 0), the pressure is P. Further down the plates, at x = L, the pressure is Pl. The top plate is located at y=b and the bottom plate is at y=-0. x y=0 x=0 Po 1 x=L P2 Figure 2: Two parallel plates are separated by a distance b and support a liquid that is initially at rest but then forced to start flowing under the action of an imposed pressure drop, AP = P - PL. Question: Show that the steady state velocity is APb2 ( 2uL '6 This motivates a dimensionless velocity, 0, scaled 4Pb2. As before, scale the y axis by b to obtain a vertical variable, n, and scale time by 5*, where v = w/p, to get a dimensionless time. Question: Scale the time-dependent equation of motion using these scalings to get: OT a2 1+ 2 Question: Write down the initial and boundary conditions for this dimensionless equation