Consider the stratified fluid depicted below which is being sheared between two infinite parallel plates. If the upper plate is considered to move with velocity U, the lower plate is fixed, and the viscosities and thicknesses of the two layers are u1 and u2 and h1 and h2, respectively, calculate the following: a. Write down the appropriate component of the navier-stokes equations for the momentum in the direction of the flow in each fluid region and show which terms are non-zero. b. What are the steady state velocity and shear stress distributions in each domain? What is the force (i.e. shear stress) on the lower plate? The velocity and shear stress must continuous across the interface formed between the two liquids. This determines the conditions at the interface