In lecture, we consider ed two diffe rent mechanisms for flow of an incompressible Newtonian fluid (INF) between two horizontal parallel plates separate d by distance a with the origin of the coordinate field at the midpoint betwe en the plates: the first was pressure driven flow; the second was drag flow. Now we want you to analyze the situation shown in the figure below where both pressure driven flow (since P0>PL ) and drag flow (since the top plate has velocity +U in the x-direction) are occurring simultaneously. a. Simplify the Navier-Stokes equations (in rectangular coordinates) according to the conditions listed be low to give the governing equations of motion: Steady-state flow Fully developed flow in the x-direction The plates are infinitely lar ge in the z direction b. Derive the general solution for vx(y), with integration constants c1 and c2, to the governing equation from part a) c. Use the appropriate boundary conditions to solve for the integration constants c1 and c2 and then simplify your expression from part b). d. Check your answer from part c) by setting U=0 and then comparing the resulting equation to the one we derived in lecture for just pressure driven flow of an INF between two horizontal parallel plates. e. Double-check your answerfrom part c ) by setting P=0 and then comparing the resulting equation to the one we de rived in lecture for just drag flow of an INF between two horizontal parallel plates. 1