Problem 1 Air flows over a flat plat with a velocity of 60m/s. Calculate boundary-layer thickness at a distance 15cm and 25cm from the leading edge of the plate. Plot velocity distribution u at these locations. Problem 2 Consider the steady laminar flow of a very low Prandtl number fluid (a liquid metal) over a flat plate with a constant and uniform free-stream velocity U and temperature T. Let the heat flux from the plate to the fluid be prescribed as a given constant qw. Assuming constant thermophysical properties, obtain an exact solution for variation of wall temperature along the surface of the plate. Also, find an expression for local Nusselt number. Problem 3 Consider the laminar boundary layer flow of an isothermal fluid (T,U) over a flat isothermal wall (T0). At a certain distance x from the leading edge, the local skin friction coefficient is Cf,x=0.0066. What is the value of the local Nusselt number at the same location if the Prandtl number is Pr=7 ? Problem 4 The wind blows at 0.5m/s parallel to the short side of a flat roof with the rectangular area 10m20m. The roof temperature is 40C, and the temperature of the free stream is 20C. Calculate the total force experienced by the roof. Estimate also the total heat transfer rate by laminar forced convection from the roof to the atmosphere