Nomenclature

The nomenclature table offers a description and sample units or constant values of the variables used in the Flow Solver Reference Manual.

Symbol Description Sample units or constant values
A Area m2
Aε Damping function constant 3.8
Aμ Damping function constant 63
Cμ A k-epsilon turbulence model constant 0.09
Cε1 A k-epsilon turbulence model constant 1.44
Cε2 A k-epsilon turbulence model constant 1.92
C Cunningham correction factor -
CA Added mass coefficient -
CD Drag coefficient -
Cp Specific heat at constant pressure J/kg K
Cv Specific heat at constant volume J/kg K
c Speed of sound m/s
D Diffusivity m2/s
Dϕ Scalar diffusion coefficient m2/s
d Diameter m
d Wall distance m
E A k-epsilon turbulence model constant 8.43
e Internal energy J
F Convective flux term -
fε Damping function -
fω Damping function -
fl Damping factor -
fμ Van Driest damping factor -
Force N
G Viscous flux term -
G Droplet growth rate m/s
g Gravitational acceleration constant m2/s
h Heat transfer coefficient W/m2 K
h Head loss coefficient -
h height m
h Enthalpy of the fluid J/kg
hm Mass transfer coefficient kg/m2s
ho Total enthalpy J/kg
Ix Turbulence intensity -
J Diffusive mass flux kg/m2 s
J0 Nucleation pre-factor cm-2s-1
K Permeability m2
K Consistency index -
Kn Knudsen number -
k Turbulence kinetic energy J/kg
k Thermal conductivity W/m K
ks Specified equivalent sand grain roughness m
kB Boltzmann constant 1.3806488*10-23J/K
l Turbulent eddy length scale m
l mixing length m
L0 Flow characteristic length m
Mass flow rate kg/s
M Molar mass kg/mol
M Mach number -
m" Mass flux kg/m2s
np Number of particles per unit mass kg-1
Unit normal vector -
N Number of particles -
Nu Nusselt number -
P Pressure Pa
Pr Prandtl number -
q Heat flux W/m2
qc Condensation coefficient -
R Universal gas constant 8.3144 J/mol K
R Location vector m
R Internal loss coefficient m-1
R Humidity diffusion resistance s/m
R Average radius of aerosol particles m
R Discrete convective flux -
Rg Specific gas constant J/kg K
Ra Rayleigh number -
Re Reynolds number -
Rel Local Reynolds number -
r Radius m
S Modulus of the mean strain rate -
S Sutherland constant -
S Closed surface m2
Sij Mean rate-of-strain tensor s-1
Sh Energy source term W/m3
Sm Mass source kg/m3 s
SU Momentum source N/m3
Sc Schmidt number -
T Temperature K
T Discrete viscous flux -
t Time s
U Velocity m/s
U Conserved quantity -
V Volume m3
Vm Molar volume of the gas m3/mol
Volume flow rate m3/s
w Weighting function -
Particle centroid trajectory -
Velocity of the control volume m/s
Xi Molar fraction -
y+ Non-dimensional wall distance -
α Thermal diffusivity m2/s
α Coefficient of restitution -
α proportionality coefficient kg/m3
β Thermal expansion coefficient K-1
Γ Effective diffusion coefficient -
γ Specific heat ratio -
Shear rate s-1
δij Kronecker delta function -
δ Characteristic mesh spacing m
ε Dissipation rate of the turbulent kinetic energy m3/s3
ε Smoothing factor -
η Avogadro's number 6.02214*1023 mol-1
κ Von Karman constant 0.41
λ Time constant s
λ Mean free path of the particle m
μ Dynamic viscosity Pa s
ν Kinematic viscosity m2/s
Ω Rotational velocity vector of a rotating frame m/s
Ω Vorticity tensor -
ρ Density kg/m3
σ Surface tension N/m
σk Turbulence model constant 1.0
σε Turbulence model constant 1.3
σT Thermal accommodation coefficient -
τw Wall shear stress Pa
τ0 Yield stress Pa
ϕ Mass fraction -
ϕ Angle degrees
ϕ Radial basis function -
ϕ Wall distance function -
φ Humidity -
ω Specific dissipation rate s-1
Rotational velocity vector rad/s