A thick metal plate (alpha = 3.3333 x 10^-6 m^2/s and k = 0.69 W/m-K), initially at a uniform temperature of 100°C, is suddenly exposed to a convection environment of water at 20°C, giving a very large convection coefficient. Required:a. Sketch the surface heat flux, q", as a function of time. b. Using an explicit numerical scheme with a time step of 60 s, calculate the time required for the temperature to change 80 mm from the surface.

Air at a pressure of 1atm and a temperature of 40 c is in parallel flow over the top surface of a flat plate that is heated to a uniform temperature of 120 c. the plate has a length of 0.40m (in the flow direction) and a width of 0.15m. the reynolds number based on the plate length is 50, 000. what is the rate of heat transfer from the plate to the air? if the free stream velocity of the air is doubled and the pressure is increased to 10 atm what is the rate of heat transfer?