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MAE112HW2

# MAE112HW2 - Due MAE 112 Winter 2010 Homework Assignment#2 1...

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1 Due: January 22, 2010 MAE 112 Winter 2010 Homework Assignment #2 1. Consider a rocket engine that uses liquid oxygen and liquid ethanol (C 2 H 5 OH) fuel. The oxygen mass-flow rate is 2.2 times greater than the fuel mass-flow rate. Ethanol is stored at 298K while the oxygen is stored at 90K just very slightly below its boiling point. Oxygen has a heat of vaporization of 6812 joules/mole while the value for ethanol is 9674 calories/mole. The specific heat at constant pressure for gaseous oxygen is 30.77 joules/mole K. The liquids are sprayed into the combustion chamber. (a) How much energy per mole is required to vaporize and heat a mole of oxygen to the temperature of 298K. (b) What is the expected ideal flame temperature? (c) Suppose the ethanol droplets vaporized more slowly than the oxygen droplets. The gas and droplets move at an average velocity of 30 meters per second. The largest droplets are initially 50 microns in radius. As the droplets vaporize, they follow a law that states

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MAE112HW2 - Due MAE 112 Winter 2010 Homework Assignment#2 1...

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