### 1.1.2. List of Symbols

This section lists symbols used in this chapter, together with their meanings, dimensions and where applicable, values. Dimensionless quantities are denoted by 1. The values of physical constants (or their default values) are also given.

More information on the notation used in the multiphase and multicomponent chapters is available:

- Multiphase Notation

- Multicomponent Notation.

  Symbol | Description | Dimensions | Value
  --- | --- | --- | ---
  | linear energy source coefficient |  |
  | linear resistance coefficient |  |
  | quadratic resistance coefficient |  |
  | - turbulence model constant |  |
  | RNG - turbulence model coefficient |  |
  | - turbulence model constant |  |
  | RNG - turbulence model constant |  |
  | - turbulence model constant |  |
  | Reynolds Stress model constant |  |
  | RNG - turbulence model constant |  |
  | fluid speed of sound |  |
  | concentration of components A and B (that is, mass per unit volume of components A and B (single-phase flow)) |  |
  | Reynolds Stress model constant |  |
  | specific heat capacity at constant pressure |  |
  | specific heat capacity at constant volume |  |
  | Reynolds Stress model constant |  |
  | Reynolds Stress model constant |  |
  | binary diffusivity of component A in component B |  |
  | kinematic diffusivity of an Additional Variable, |  |
  | distance or length |  |
  | constant used for near-wall modeling |  |
  | Zero Equation turbulence model constant |  |
  | RNG-- turbulence model coefficient |  |
  | gravity vector |  |
  | specific static (thermodynamic) enthalpy |  | For details, see Static Enthalpy.
  | Hartmann Number: the ratio of the Lorentz forces to the viscous forces. |  |
  | heat transfer coefficient |  |
  | specific total enthalpy |  | For details, see Total Enthalpy.
  | turbulence kinetic energy per unit mass |  |
  | local Mach number, |  |
  | mass flow rate |  |
  | shear production of turbulence |  |
  | static (thermodynamic) pressure |  | For details, see Static Pressure.
  | reference pressure |  | For details, see Reference Pressure.
  | total pressure |  | For details, see Total Pressure.
  | modified pressure |  | For details, see Modified Pressure.
  | universal gas constant |  |
  | Reynolds number, |  |
  | Magnetic Reynolds Number: the ratio between the magnetic advection and magnetic diffusion. |  |
  | location vector |  |
  | volume fraction of phase |  |
  | energy source |  |
  | momentum source |  |
  | mass source |  |
  | turbulent Schmidt number, |  |
  | Stanton number |  |
  | mass flow rate from phase to phase . |  |
  | static (thermodynamic) temperature |  | For details, see Static Temperature.
  | domain temperature |  | For details, see Domain Temperature.
  | buoyancy reference temperature used in the Boussinesq approximation |  |
  | saturation temperature |  |
  | total temperature |  | For details, see Total Temperature.
  | vector of velocity |  |
  | velocity magnitude |  |
  | fluctuating velocity component in turbulent flow |  |
  | fluid viscous and body force work term |  |
  | molecular weight (Ideal Gas fluid model) |  |
  | mass fraction of component A in the fluid |  |
  | used as a subscript to indicate that the quantity applies to phase |  |
  | used as a subscript to indicate that the quantity applies to phase |  |
  | coefficient of thermal expansion (for the Boussinesq approximation) |  |
  | RNG - turbulence model constant |  |
  | diffusivity |  |
  | molecular diffusion coefficient of component |  |
  | dynamic diffusivity of an Additional Variable |  |
  | turbulent diffusivity |  |
  | identity matrix or Kronecker Delta function |  |
  | turbulence dissipation rate |  |
  | bulk viscosity |  |
  | Von Karman constant |  |
  | thermal conductivity |  |
  | molecular (dynamic) viscosity |  |
  | magnetic permeability |  |
  | turbulent viscosity |  |
  | effective viscosity, |  |
  | density |  |
  | laminar Prandtl number, |  |
  | turbulent Prandtl number, |  |
  | electrical conductivity |  |
  | turbulence model constant for the equation |  |
  | - turbulence model constant |  |
  | - turbulence model constant |  |
  | Reynolds Stress model constant |  |
  | RNG - turbulence model constant |  |
  | RNG - turbulence model constant |  |
  | shear stress or sub-grid scale stress molecular stress tensor |  |
  | specific volume |  |
  | Additional Variable (non-reacting scalar) |  |
  | general scalar variable |  |
  | angular velocity |  |

#### 1.1.2.1. Subscripts

Quantities that appear with subscripts , , refer to that quantity for component , , in a multicomponent fluid.

Quantities that appear with subscripts , , refer to that quantity for phase , , in a multiphase flow.

Such quantities are used only in the chapters describing multicomponent and multiphase flows.

- Multicomponent Flow

- Multiphase Flow Theory

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