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5310 Combustion Introduction Lecture 13

# 5310 Combustion Introduction Lecture 13 - MAE 5310...

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1 MAE 5310: COMBUSTION FUNDAMENTALS Coupled Thermodynamic and Chemical Systems Mechanical and Aerospace Engineering Department Florida Institute of Technology D. R. Kirk

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2 MOTIVATION Calculation of flame temperature given only initial and final states as determined by equilibrium, but no requirements on chemical rates (Chapter 1) Development of chemical rate equations and chemical time scales (Chapter 2) Couple chemical kinetics with fundamental conservation principles (mass and momentum) for 4 archetypal thermodynamic systems 1. Constant-pressure, fixed mass reactor 2. Constant-volume, fixed-reactor 3. Well-Stirred reactor 4. Plug-flow reactor Coupling allows description of detailed evolution of a reacting system from its initial reactant state to final product state System may or may not be in chemical equilibrium Goal: Calculate the system temperature and various species concentrations as functions of time as system proceeds from reactants to products
3 4 USEFUL REACTOR MODELS 1 2 3 4

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4 SUMMARY OF USEFUL RELATIONS [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] = = = = = = = = = = = = i i i i i mix i i i mix i i i mix i i i i j j i i mix i i i j j j i i i i i i i mix i i mix i i X MW X MW MW MW MW Y MW MW X Y X X MW RT P X MW X MW X Y MW Y RTMW Y PMW X MW MW Y χ ρ ρ χ ρ χ χ ρ χ 1 Mole / mass fraction relation Mass fraction / molar concentration Mole fraction / molar concentration Mass concentration MW mix defined in terms of mass fractions MW mix defined in terms of mole fractions MW mix defined in terms of molar concentrations χ i : mole fraction Y i : mass fraction [X i ]: molar concentration
5 1. CONSTANT PRESSURE, FIXED MASS REACTOR [ ] [ ] ( 29 [ ] ( 29 [ ] [ ] [ ] + - = = - = = = = + = = dt dT T

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5310 Combustion Introduction Lecture 13 - MAE 5310...

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