ME 475/675 Introduction to
Lecture 10
• Midterm 1
• September 29, 2014
• HW 4 Due Friday, September 19, 2014
• I’ll accept it on Monday, September 22, 2014 since that was the original due
• Ch 2 (33, 35, 47, 50, 54, 63)
• I’m rethinking the Example/Homework assignments…
Problem 2.33 (Homework)
• Once more, repeat problem 2.30, but eliminate the unrealistic
assumptions, i.e. allow for dissociation of the products and variable
specific heats. Use HPFLAME (Appendix F), or other appropriate
software. Compare and contrast the results of problems 2.30 to 2.33.
Explain why they differ.
• 2.30 Determine the adiabatic flame temperature for constantpressure combustion of a stoichiometric propane-air mixture
assuming reactant at 298K, no dissociation of the products, and
constant specific heats evaluated at 298K.
Problem 2.35 (homework)
• Repeat problem 2.30, but for constant-volume combustion. Also,
determine the final pressures.
• Add, compare results with UVFLAME
Problem 2.47 (homework)
2 2
• Calculate the equilibrium composition for the reaction 𝐻2 +
↔ 𝐻2 𝑂 when the ratio of the number of moles of elemental
hydrogen to elemental oxygen is unity. The temperature is 2000 K,
and the pressure is 1 atm.
• Extra: What will happen to the amount of 𝐻2 if the pressure is
• At what pressure will 𝜒𝐻2 = 0.01?
Problem 2.50 (homework)
• Reformulate problem 2.47 to include the species OH, O, and H.
Identify the number of equations and the number of unknowns. They
should of course be equal. (Write a system of equations that can be
used to solve for the unknowns). Do not solve your system.
Problem 2.54 (Homework)
• Consider the combustion of decane (C10H22) with air at an
equivalence ratio of 1.25, pressure of 1 atm, and temperature of 2200
K. Estimate the mixture composition assuming no dissociation except
for the water-gas shift equilibrium. Compare with results of TPEQUIL.
Problem 2.63 (Homework)
• A furnace uses preheated air to improve its fuel efficiency. Determine the
adiabatic flame temperature when the furnace is operating at a mass air-fuel
ratio of 16 for air preheated to 600 K. The fuel enters at 200 K.
• Assume the following simplified thermodynamic properties: Tref = 300 K, MWfuel
= MWair = MWprod = 29 kg/kmol; cp,air = cp,prod = cp,fuel = 1200 J/kg-K; ℎ𝑓,𝑎𝑖𝑟
= ℎ𝑓,𝑝𝑟𝑜𝑑
= 0; ℎ𝑓,𝑓𝑢𝑒𝑙
= 4 ∗ 107 𝐽/𝑘𝑔
Computer Programs Provided by Book Publisher
• Described in Appendix F
• For “complex” reactions (11 product species)
• Oxidizer: Air
• Download from web:
student edition
Computer codes
Access to TPEquil, HFFlame, UVFlame
Extract All
• TPEQUIL (TP Equilibrium)
• Use to find
• Equilibrium composition and mixture properties
• Required input
Equivalence ratio (with air)
• to determine initial number of moles of each atom
• Use to find
• Adiabatic flame temperature for constant pressure
• Required Input
• Fuel, equivalence ratio, enthalpy of reactants HR, pressure
• For constant pressure: HP = HR
• Find TAd
• In our examples we assume ideal combustion so we knew the product
• But this program calculates the more realistic equilibrium composition of the
products from a (complex) equilibrium calculation (multiple equilibrium
• But this requires TProd = TAd, which we are trying to find!
• Requires program (not humans) to iterate