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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 69, 2016 - Issue 11
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Original Articles

Study of three LES subgrid-scale turbulence models for predictions of heat and mass transfer in large-scale compartment fires

, , , &
Pages 1223-1241 | Received 03 Sep 2015, Accepted 24 Nov 2015, Published online: 02 May 2016
 

ABSTRACT

Numerical assessment was performed to investigate the wall-adaptive features offered by two subgrid-scale (SGS) turbulence models: Wall-Adapting Local Eddy Viscosity (WALE) and Vreman against the Smagorinsky model. The gas temperature and velocity field predictions were enhanced using WALE over Smagorinsky, especially at the flaming and near-wall regions since WALE considers both strain and rotation rates of the turbulent structure and the turbulent viscosity approaches zero at the wall. Conversely, the simulation results by Vreman were under-predicted against the experimental data. The WALE model could notably enhance the simulation accuracy for large-scale compartment fires due to significant improvements of the flow diffusivity modeling.

Nomenclature

Cp=

specific heat of constant pressure

Cs=

Smagorinsky model constant

Cw=

WALE model constant

Cv=

Vreman model constant

D*=

characteristic length of the fire plume

Eb=

blackbody radiation

g=

gravitational acceleration

=

species standard heat of formation

Ij=

radiation intensities

k=

turbulent kinetic energy

ka,g=

gas radiative absorption coefficient

min=

inflow mass flux

mout=

outflow mass flux

p=

pressure

Pr=

molecular Prandtl number

Scø=

molecular Schmidt number for scalar quantities

PrT=

turbulent Prandtl number

ScT, ø=

turbulent Schmidt number for scalar quantities

P(Z)=

probability density function

=

heat release rate

R=

gas constant

R*=

spatial resolution

Ru=

universal gas constant

Srad=

radiant heat energy

=

source term for scalar quantities

T=

temperature

Tref=

reference temperature

ui, uj=

velocity components along the x, y, z Cartesian directions

XF=

fuel mass fraction

Yi=

mass fraction

Wi=

molecular weight

Z=

instantaneous mixture fraction

Z2=

variance of mixture fraction

α=

soot particle nucleation rate for number density

β=

soot coagulation rate

ϵ=

dissipation rate of turbulent energy

ϕ=

scalar properties

φ=

general field-dependent variable

ρ=

density

ρref=

reference density

μ=

molecular viscosity

μT=

turbulent viscosity

ωT=

filtered heat release rate

χ=

instantaneous scalar dissipation

χo=

local peak value of χ

Superscript=
=

spatial-averaged

=

Favre-averaged

Nomenclature

Cp=

specific heat of constant pressure

Cs=

Smagorinsky model constant

Cw=

WALE model constant

Cv=

Vreman model constant

D*=

characteristic length of the fire plume

Eb=

blackbody radiation

g=

gravitational acceleration

=

species standard heat of formation

Ij=

radiation intensities

k=

turbulent kinetic energy

ka,g=

gas radiative absorption coefficient

min=

inflow mass flux

mout=

outflow mass flux

p=

pressure

Pr=

molecular Prandtl number

Scø=

molecular Schmidt number for scalar quantities

PrT=

turbulent Prandtl number

ScT, ø=

turbulent Schmidt number for scalar quantities

P(Z)=

probability density function

=

heat release rate

R=

gas constant

R*=

spatial resolution

Ru=

universal gas constant

Srad=

radiant heat energy

=

source term for scalar quantities

T=

temperature

Tref=

reference temperature

ui, uj=

velocity components along the x, y, z Cartesian directions

XF=

fuel mass fraction

Yi=

mass fraction

Wi=

molecular weight

Z=

instantaneous mixture fraction

Z2=

variance of mixture fraction

α=

soot particle nucleation rate for number density

β=

soot coagulation rate

ϵ=

dissipation rate of turbulent energy

ϕ=

scalar properties

φ=

general field-dependent variable

ρ=

density

ρref=

reference density

μ=

molecular viscosity

μT=

turbulent viscosity

ωT=

filtered heat release rate

χ=

instantaneous scalar dissipation

χo=

local peak value of χ

Superscript=
=

spatial-averaged

=

Favre-averaged

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