Air (m=28.97kg/kmol) is uniformly heated at steady state as it flows through a cylindrical constant area duct. It enters the channel uniformly at 2.5atm, 300K and 80m/s and exits at 1.5atm. What is the necessary heat transfer per unit mass in kJ/kg to achieve the exit conditions under the following flows? (You can assume that the air behaves as ideal gas at constant x=1.4.)
a) Air exits uniformly at 300m/s.
b) Air flow is laminar with a maximum speed of 300m/s at the exit.
c) Air flow is turbulent (n=7) with a maximum speed of 150m/s at the exit.