Sketch the domain and schematic velocity profiles for the following two problems. Plots shall be complete with axes, labels and origin. Do not derive any expression for this problem. (a) Two liquid layers L1 and L2 of equal thickness are flowing between two parallel plates by the action of a pressure gradient. Density as well as viscosity are higher for L1 compared to L2. Plot the velocity as function of height of the liquid layer. Pay attention to the interface between the two liquid layers. (b) A thin glass rod is used to mix sugar in a cup of coffee. The rod is lifted vertically out of the glass and held stationary. Coffee drips down along the surface of the rod. Assuming that the thickness of coffee is constant on the surface of the rod, plot the radial distribution of the flow of coffee