Water at a free stream temperature of 20 C approaches a one metre long flat plate at a velocity of 0.01 m/s. The first 0.1 m of plate length has a constant surface temperature of 20 C. The remaining 0.9 m of plate has a constant surface temperature of 90 C. a) Calculate the local value of the heat transfer coefficient at 20 cm from the leading edge (that is, from the front of the plate). b) Calculate the local value of the heat flux at this point.