1.3. List of Symbols

Table 1.1: List of Symbols

SymbolDescription
AReference area (m2)
AoAAngle of attack (deg.)

CD

Drag coefficient, CD

CL Lift coefficient, CL

Cp Specific heat (J/kg K)
cChord length (m)
DDrag force vector (N)
dDroplet diameter (μm)
fFreezing fraction
FrFroude number, Fr

gGravity vector (m/s2)
HEnthalpy (J/kg)
hWater film height (m)
hc Convective heat transfer coefficient (W/m2 K)
KDroplet inertia parameter

kThermal conductivity (W/m K)/Turbulence kinetic energy (J)/Equivalent sand-grain roughness (m)
L Characteristic length (m)
LLift force vector (N) or latent heat (J/kg)
LWCLiquid water content (kg/m3)
MMach number
MVDMedian Volumetric Diameter (μm)
mMass flow (kg/s)
nSurface normal vector
pStatic pressure (Pa)
QHeat flux (W/m2)
RGas constant (287.053763 J/kg K) or residual vector
ReFlow Reynolds number
Red Droplet Reynolds number
RECRecovery factor
tTime (s)
TStatic temperature (K)
TuTurbulence intensity
VVelocity vector (m/s)
x,y,zGrid coordinates (m)
y+ Non-dimensional wall distance

Table 1.2: Greek Symbols

Greek SymbolDescription
αLocal LWC (kg/m3)
βCollection efficiency

βtot Total collection efficiency

εSolid emissivity or artificial viscosity parameter or turbulent dissipation rate (m2/s3)
γ Ratio of specific heats
κ Thermal conductivity (W/m K)
μ Kinematic viscosity (kg/m s)
ρDensity (kg/m3)
σBoltzmann constant (s= 5.67 x10-8 W/m2 K4)
ΩRotation speed vector (radian/s) or turbulent frequency (1/s)
Shear stress tensor (N/m2)


Table 1.3: Subscripts and Superscripts

Subscripts/SuperscriptsDescription
aAir
dDroplet
dimDimensional
fFluid
iIce
LLaminar
sSolid
TTurbulent
wWall
°Temperature in Celsius
Reference (freestream)