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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 71, 2017 - Issue 2
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Original Articles

Simulation of swirl-stabilized turbulent partially premixed combustion

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Pages 189-201 | Received 13 May 2016, Accepted 12 Oct 2016, Published online: 05 Jan 2017
 

ABSTRACT

Properly describing turbulence-complex reaction interactions is crucial for predicting turbulent combustion and pollutant emission. A presumed probability density function model for temperature fluctuation is adopted in the present paper. It incorporates a 25-step skeletal mechanism for methane combustion. The gas turbulent transport is simulated with the algebraic Reynolds stress model for turbulence-swirl interactions. These models are applied to the simulation of swirl-stabilized turbulent partially premixed jet flame. The calculated gas velocities, fluctuating velocities, Reynolds shear stresses, temperature, and species mass fractions are in agreement with the measured test data.

Nomenclature

Bi=

pre-exponential factor

Cg1, Cg2=

turbulence model constants

=

mean specific heat capacity (J/kg K)

D=

diameter of bluff body (m)

Ei=

activation energy (J/mol)

h=

enthalpy (J/kg)

h0=

enthalpy of formation (J/kg)

hs=

sensible enthalpy (J/kg)

k=

turbulent kinetic energy (m2/s2)

kfall=

fall-off rate

mi, ni=

density and temperature exponents

M=

molecular weight (kg/mol)

n=

species number

p=

static pressure (Pa or atm)

r=

radial distance from axis (m)

R=

universal gas constant (J/mol K)

SΦ=

generalized source term

T=

temperature (K)

Tm=

adiabatic combustion temperature at stoichiometric condition for the fuel (K)

T0=

minimum temperature of combustion system (K)

T0=

reference temperature (298.15 K)

u, v, w=

axial, radial, and tangential velocities (m/s)

W=

reaction rate for each step (kg/m3 s)

x=

axial distance from burner exit (m)

Y=

species mass fraction

α, γ, η+, η=

parameters in presumed PDF

αΦ=

generalized coefficient

βi=

coefficient in the ith step reaction rate

ΓΦ=

generalized effective transport coefficient

ε=

dissipation rate of turbulent kinetic energy (m2/s3)

η=

nondimensional temperature

ηl=

third body efficiency of species l

μ=

dynamic viscosity (kg/m s)

ρ=

density (kg/m3)

σg=

turbulent Schmidt number

Φ=

generalized variable

Subscripts=
e=

effective

k=

species

M=

third body

r=

radial coordinate, reactant

t=

turbulent

x=

axial coordinate

Superscripts=
i=

ith step reaction

=

fluctuation quantity

=

time-averaged quantity

Nomenclature

Bi=

pre-exponential factor

Cg1, Cg2=

turbulence model constants

=

mean specific heat capacity (J/kg K)

D=

diameter of bluff body (m)

Ei=

activation energy (J/mol)

h=

enthalpy (J/kg)

h0=

enthalpy of formation (J/kg)

hs=

sensible enthalpy (J/kg)

k=

turbulent kinetic energy (m2/s2)

kfall=

fall-off rate

mi, ni=

density and temperature exponents

M=

molecular weight (kg/mol)

n=

species number

p=

static pressure (Pa or atm)

r=

radial distance from axis (m)

R=

universal gas constant (J/mol K)

SΦ=

generalized source term

T=

temperature (K)

Tm=

adiabatic combustion temperature at stoichiometric condition for the fuel (K)

T0=

minimum temperature of combustion system (K)

T0=

reference temperature (298.15 K)

u, v, w=

axial, radial, and tangential velocities (m/s)

W=

reaction rate for each step (kg/m3 s)

x=

axial distance from burner exit (m)

Y=

species mass fraction

α, γ, η+, η=

parameters in presumed PDF

αΦ=

generalized coefficient

βi=

coefficient in the ith step reaction rate

ΓΦ=

generalized effective transport coefficient

ε=

dissipation rate of turbulent kinetic energy (m2/s3)

η=

nondimensional temperature

ηl=

third body efficiency of species l

μ=

dynamic viscosity (kg/m s)

ρ=

density (kg/m3)

σg=

turbulent Schmidt number

Φ=

generalized variable

Subscripts=
e=

effective

k=

species

M=

third body

r=

radial coordinate, reactant

t=

turbulent

x=

axial coordinate

Superscripts=
i=

ith step reaction

=

fluctuation quantity

=

time-averaged quantity

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