Page 15 - Introduction to Computational Fluid Dynamics

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NOMENCLATURE
Velocity in x i , i = 1, 2, 3 Direction
u i 0 521 85326 5 May 27, 2005 0:54
3
V Volume (m )
Greek Symbols
2
α Under relaxation Factor or Thermal Diffusivity (m /s)
β Under relaxation Factor for Pressure or
−1
Coefficient of Volume Expansion (K )
δ Boundary Layer Thickness (m)
Incremental Value
3
2
Turbulent Energy Dissipation Rate (m /s )
Stream Function or Weighting Factor
General Variable or Dimensionless Enthalpy

General Exchange Coefficient = µ, ρD, or k/Cp
κ Constant in the Logarithmic Law of the Wall
2
µ Dynamic viscosity (N-s/m )
2
ν Kinematic Viscosity (m /s)
ω Species Mass Fraction or Dimensionless Coordinate
3
ρ Density (kg/m )
λ Second Viscosity Coefficient or Latent Heat (J/kg)
λ 1 Multiplier of p − p
2
σ Normal Stress (N/m )
θ Dimensionless Temperature
2
τ Shear Stress (N/m ) or Dimensionless Time
Subscripts
P, N, S, E, W Refers to Grid Nodes
n, s, e, w Refers to Cell Faces
eff Refers to Effective Value
f Refers to Cell Face
l Liquid or Liquidus
m Refers to Mass Conservation, Mixture, or Melting Point
s Solid or Solidus
sm Refers to Smoothing
sup Superheated
T Transferred Substance State
x i Refers to x i , i = 1, 2, 3 directions

Superscripts
l Iteration Counter
o Old Time
u,v Refers to Momentum Equations