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Examples of combustion applications:
. Gas turbines and jet engines
. Rocket propulsion
. Piston engines
. Guns and explosives
. Furnaces and boilers
. Flame synthesis of materials (fullerenes, nano- materials)
. Chemical processing (e.g. carbon black produc- tion)
. Forming of materials
. Fire hazards and safety

Combustion is a complex interaction of:
. physical processes - fluid dynamics, heat and mass transfer
. chemical processes - thermodynamics, and chemical kinetics

Practical applications of the combustion phenomena also involve applied sciences such as aerodynamics, fuel technology, and mechanical engineering. ¨

. The transport of energy, mass, and momentum are the physical processes involved in combustion.

. The conduction of thermal energy, the diffusion of chemical species, and the flow of gases all follow from the release of chemical energy in the exother- mic reaction.

. The subject areas most relevant to combustion in the fields of thermodynamics, transport phenom- ena, and chemical kinetics can be summarized as follows:

Thermodynamics:

. Stoichiometry
. Properties of gases and gas mixtures
. Heat of formation
. Heat of reaction
. Equilibrium
. Adiabatic flame temperature

Heat and Mass Transfer:

. Heat transfer by conduction
. Heat transfer by convection
. Heat transfer by radiation
. Mass transfer

Fluid Dynamics:

. Laminar flows
. Turbulence
. Effects of inertia and viscosity
. Combustion aerodynamics

Chemical Kinetics:

. Application of thermodynamics to a reacting system gives us

- equilibrium composition of the combustion products, and

- maximum temperature corresponding to this composition, i.e. the adiabatic flame tempera- ture.

. However, thermodynamics alone is not capable of telling us whether a reactive system will reach equi- librium.

Chemical Kinetics (cont’d):

. If the time scales of chemical reactions involved in a combustion process are comparable to the time scales of physical processes (e.g. diffusion, fluid flow) taking place simultaneously, the system may never reach equilibrium.

. Then, we need the rate of chemical reactions in- volved in combustion. ¨

Primary sources of combustion research literature:
1 Combustion and Flame (journal)
2 Combustion Science and Technology (journal)
3 Combustion Theory and Modelling (journal)
4 Progress in Energy and Combustion Science (re- view journal)
5 Proceedings of the Combustion Institute (Biennial Combustion Symposia (International) proceedings).
6 Combustion, Explosions and Shock Waves (journal translated from Russian)
¨
Fundamental Definitions

Chemical Reaction:

. exchange and/or rearrangement of atoms between colliding molecules

Reactants ’ Products

. The atoms are conserved (C, H, O)
. On the other hand, molecules are not conserved. H+0.5(O+3.76N) ’ HO+1.88N 22222 Reactants ’ Products

Amount of substance or mole numbers (mol): 23 . 1 mol of a compound corresponds to 6.023 · 10 particles (atoms, molecules, or any chemical species).

23 . Avogadro’s constant = 6.023 · 10

. Mole fraction Çof species i with mole number of i Nis i N i Ç= i S N j j=1 ¨

. Mass fraction Yof species i with mass of mis ii m i Y= i S m j j=1 . MolarorMolecularMass, M(molecular weight i is misleading and should not be used) - M=16 g/mol CH 4 - M=2 g/mol H 2 - M=32 g/mol O 2 ¨ 0.Introduction12AER 1304-OLG

. Mean molar mass, M , of a mixture of species de- notes an average molar mass: 3 M =ÇM ii . S = number of species in the system MNMÇ iiii Y== i SS MNMÇ jjjj j=1j=1 YY/M iii Ç== i S MM iYj/Mj j=1 ¨

For a system of volume, V : 3 . Mass density (density), Á = m/V (kg/m) 3 . Molar density (concentration), c = N/V (kmol/m) . Mean molar mass is given by: Ám == M cN Chemical kinetics convention: concentrations c of chemical species are usually shown by species symbol in square brackets. c=[CO] CO2 2 ¨

For most conditions involved in combustion, it is satisfactory to use the perfect gas equation of state for the gas phase. o PV = NRT 3 (Pa)(m) = (mol)(J/molK)(K) o R= 8.314 J / mol K, universal gas constant P = pressure, Pa T = temperature, K ¨

When the gas phase temperatures are near or less than the critical temperatures, or when pressures are near or above the critical pressures, the density or con- centration is not correctly predicted by the perfect gas relationship. Real gas equations should be used.

- van der Waals - Peng-Robinson

Basic Flame Types:

. Premixed Flames
- Laminar
- Turbulent
. Non-Premixed (Diffusion) Flames
- Laminar
- Turbulent
. Partially Premixed Flames
- Laminar
- Turbulent
` triple flames, edge flames,...
¨
Laminar (Turbulent) Premixed Flames:

. Fuel (in gaseous form) and oxidizer are homoge- neously mixed before the combustion event
. Flow is laminar (turbulent)
. Turbulent premixed flames:
- combustion in gasoline engines
- lean-premixed gas turbine combustion

Burned

Unburned

- Cross-section of a gasoline engine combustion chamber.

Stoichiometry:

. A premixed flame is stoichiometric if the premixed reactants contain right amount of oxidizer to con- sume (burn) the fuel completely.

• If there is an excess of fuel: fuel-rich system

• If there is an excess of oxygen: fuel-lean system

• Standard air composition commonly used for com- bustion calculations: O+3.762N 22 ¨

Stoichiometry (cont’d): CH+5(O+3.762N) ’ 3822 4HO+3CO+18.81N 222 . (A/F )=air-to-fuel ratio (mass)= (mass of stoich air)/(mass of fuel) . (A/F )=[5(32+3.762*28)]/(44) = 15.6 stoich . ¦ =(A/F )/(A/F )= Fuel Equivalence stoichactual Ratio ¨

Stoichiometry (cont’d)::
. ¦ =1: stoichiometric combustion
. ¦ < 1: lean mixture, lean combustion
. ¦ > 1: rich mixture, rich combustion
. European convention (and to a certain extent
Japanese) is to use Air equivalence ratio, »: . =1/¦
. In certain industries, excess air ratio, excess oxygen, and similar terminologies are also used. ¨

Laminar (Turbulent) Non- Premixed Flames:

• Fuel (in gaseous form) and oxidizer are mixed/come in to contact during the combustion process

• A candle flame is a typical laminar non-premixed (diffusion) flame

• Turbulent non-premixed flames:
- hydrogen rocket engine
- current aero gas turbines
- diesel engines

A candle flame.

¾ Air Inlet
¾ Inlet Port Design
¾ Chamber Design
¾ Turbocharge

AIR MOTION / TURBULENCE

IN THE COMBUSTION CHAMBER FUEL-AIRPARTIALLYMOSTLY EXHAUST MIXINGIGNITION"PREMIXED"NON-PREMIXED EMISSIONS PROCESSCOMBUSTIONCOMBUSTION INJECTION AND SPRAY

Fuel PropertiesEGR CHARACTERISTICS y HEAT RELEASE
¾ Injection Timing
y RADIATION EXCHANGE BETWEEN
¾ Injection System Design
HOT AND COLD POCKETS

¾ Injection Duration
y NO & SOOT FORMATION

¾ Injection RateX

y SOOT OXIDATION

Processes in the diesel engine combustion. ¨

Spark-ignited gasoline engine

TURBULENT

Low-NO stationary gas turbine x

PREMIXED

Flat flame LAMINAR Bunsen flame Aircraft turbine Hydrogen-oxygen rocket motor TURBULENT Diesel engine NON-PREMIXEDPulverized coal combustion (DIFFUSION) Candle flame LAMINARRadiant burners for heating Wood fire FUEL/OXIDIZERFLUID EXAMPLES MIXINGMOTION Examples of combustion systems. ¨