5. Consider a Jet-A fuel drop that is evaporating and burning in a jet engine. We will consider different values of the surrounding air temperature Too (of air that comes from the compressor). For all of the cases the following are held constant: The initial drop diameter The liquid fuel density is do is 40 microns, gas pressure p is 30 atm, 700 kg/m³, The temperature rise due to combustion AT, is 1800 K The fuel heat of vaporization Ah, is 2000 kJ/kg. Fuel boiling temperature T is 473 K The ratio of the gas thermal conductivity to heat capacity λg/ Cp is 0.2 x 104 kg/(m-s) The heat capacity (c) of the gas mixture is 1.5 kJ/kg-K

Where necessary, assume air as an ideal gas and consider R = 287J/(kg.K), Cp = 1005 J/(kg.K), Cv = 718 J/(kg.K). a) A nozzle is a device that is used to increase the velocity of a fluidby varying the cross-sectional area. At the last section of a jetengine, air with a mass flow rate of 50 kg/s ata pressure of 500 kPa and a temperature of 600 K enters a nozzlewith an inlet cross-sectional area of 5m2. The exit area of thenozzle is 20% of its inlet area. The air leaves the nozzle at avelocity of 300 m/s. The nozzle is not well-insulated and duringthis process, 5 kJ/kg heat is lost.   (i) In analysing this nozzle using the 1st law of thermodynamics,the change in which type of energy is negligible? (ii) Determine the density and velocity of the air entering thenozzle.(iii) Calculate the density of the air as it leaves the nozzle.(iv) Determine the temperature of the air as it leaves the nozzle.(v) Calculate the pressure of the air as it leaves the nozzle.

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