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.