1. Consider a parallel plate flow problem where the mass fluxes are acting on an infinitesimal control volume along the Cartesian coordinate system. Inlet p Away y+Ay Ayd + A AN Ande Outlet Ax x+Ax Ex Figure 1. Incoming and outgoing mass fluxes over a infinitely small control volume. (a) According to the control volume approach as described in Fig. 1, derive the mass conservation equation. Ande- y+Av +AA Surface Forces Axe Ar And J-Ax Figure 2. Normal and shear stresses over an infinitely small control volume along the x-direction. MECH4620 2023_TI TUTORIAL 1 PROBLEMS 1 Page (DUE 4PM FRIDAY WEEK 4) (b) Provide now that the flow is incompressible, what can be concluded based on the mass conservation equation in (a). (c) According to the control volume approach as described in Fig. 2, derive the x- momentum equation and deduce the y-, z-momentum equations by similarity, given that the fluid is Newtonian in the absence of body forces. The following expressions for the normal and tangential viscous stresses are provided: =-p+2 du ov ow +21 + ax by u ov du w + and H