A flat plate is cooled by air flowing at a speed of 10 m/s at a temperature and pressure of 20C and I atm, respectively. The average temperature distribution along the plate is: from 0 to 50 mm, temperature = 50'C, from 50 to 84mm, temperature = 80C, from 84 to 120 mm, temperature = 100C. Determine a. the rate of convection heating to air per unit area of the plate from the front end of the plate to a distance of 100mm, and b. local convection heat transfer coefficient at a distance of 100mm from the front end.