Problem 1: Consider airflow over a surface, where the temperature distribution in the thermal boundary layer is described by:T(y)-Ts= 1- exp|-Pr , where y is the distance normal to the

surface, Pr is Too -Ts the Prandtl number of air, and v is the kinematic viscosity of air (see Appendix A for properties, note that in convection we evaluate properties based on the film temperature). (a) Plot the temperature profile T(y), with y on the vertical axis and T(y) on the horizontal axis (i.e., in the same kind of form as Figure 6.2 of the course textbook), if T, = 27°C, T = 127°C, and Uo =0.2 m/s. Your plot should go from y=0 to 2.5 mm, with suggested increments of 0.01 mm. Please make sure you label plot axes with correct variables and units. Does this look like Figure 6.2? Why or why not? why hot?(b) What do you estimate is the height of the thermal boundary layer thickness (8t)? Why do you think that? Partial Ans: "0.7 mm (c) Calculate the heat flux at the wall (q"s). Ans: -19.8 kW (d) Calculate the heat transfer coefficient (h).