Consider the problem we encountered in the first class of liquid flow in between two parallel plates. The L Answer the following question: plates are separated by distance Y. Suddenly the bottom plate is moved to the right at the velocity, V. We observe the velocity profile of the fluid after a long time (velocity profile is fully developed). Assume: The liquid has constant density, p, and viscosity, μ The flow is fully developed (steady state process a. Use the momentum balance to determine the velocity distribution of the fluids in the channels between the two plates. b. Determine the volumetric flow rate of the liquid through these parallel plates. c. Now assume that we apply pressure drop to drive the liquid, and let the pressure drop be - dp = G. Determine the volumetric flow rate of the liquid through these parallel plates. 2. Consider a rectangular channel of the length L and width W with the channel thickness = 8 (See Figure). It is set at an angle 0 with the horizon. W A Newtonian liquid with viscosity u is driven through the channel with gravitation force. Assume the followings: The liquid has constant density, p and viscosity, μ W and L are infinitely large (Ignore end effects) Assume the flow is fully developed No Pressure applied to the liquid inside the channel Assume the flow is in laminar flow regime, answer the following questions a) Use shell momentum balance to determine the velocity distribution of the flow within the channel thickness & b) Determine the maximum velocity c) Determine the force exerted on the top material of the channel (Hint: consider shear stress acting on the WL surface)