Problem 1.4. Consider the flow of an incompressible and constant-property fluid parallel to an infinitely large flat surface, shown in Fig. P 1.4. The flow field is two-dimensional. At wall suction of fluid takes place at a uniform rate such that the fluid has a velocity equal to vs at y=0. The surface temperature is uniform at Ts. Far from the surface the fluid has a velocity of U and a temperature of T. 1. Prove that for all parameters to be independent of x we must have v-constant=vs everywhere. 2. Simplify and solve the momentum equation in x direction, and derive an expression for the velocity profile u(y). 3. Assuming that viscous dissipation is negligible, simplify and solve the energy equation and derive an expression for the temperature profile. 4. Assume that the fluid is atmospheric air, and v = 0.005 m/s; T = 300 K; T = 320 K S - Find the distance from the wall where u/U = 0.99 and (T-T)/(T. T) = 0.99 U,T 809 Fig P 1.4 x S T S