QUESTION 1 [50 Marks] PART A (25 Marks) Consider a parallel plate flow problem as illustrated in Fig.1(a) where the normal and tangential stresses acting on an infinitesimal control volume as shown along the Cartesian direction of x are shown in Fig.1(b): X, U y+Ay Andy Int Figure 1(a) Outlet z, W Ay: [T+AJAKAY The mass conservation equation is given as: op a (pu) a (pv) a (p) 0 + 8t + Ox by DLX +Az Ax Surface Forces Figure 1(b) (i) Provided that the flow is incompressible, reduce the above equation. What physical description of the flow can be concluded based on the reduced equation? [6 Marks] (ii) Based on the finding in (i) and given the fluid is Newtonian with constant fluid properties, and no external body forces, derive the following x-momentum equation: +v- +w. du u u + + The normal and tangential viscous stresses are given as: Ou du ov ow du dv + + + and axx x y z Ou Ow + z [8 Marks]