# Nomenclature

(Difference between revisions)
 Revision as of 05:07, 22 September 2005 (view source)Kmessina (Talk | contribs) (Added dimensionless parameters.)← Older edit Revision as of 07:43, 22 September 2005 (view source)Jola (Talk | contribs) m (Added links and heading to dimensionless parameters)Newer edit → Line 108: Line 108: - == Dimensionless Parameters: == + == Dimensionless parameters: == +
ParameterDescriptionDefinition
$Nu$ $Nu$Nusselt number[[Nusselt number]] $q_w$$L/k\Delta$T $q_w$$L/k\Delta$T
$Pr$ $Pr$Prandtl number[[Prandtl number]] $\mu$$C_p/k$ $\mu$$C_p/k$
$Re$ $Re$Reynolds number[[Reynolds number]] $\rho$$VL/\mu$ $\rho$$VL/\mu$
$St$ $St$Strouhal number[[Strouhal number]] $fL/V$ $fL/V$
+ + + + - + - + - + - +

## Revision as of 07:43, 22 September 2005

Acronym Description Unit
$C_p$ Specific heat at constant pressure $J/kgK$
$C_v$ Specific heat at constant volume $J/kgK$
$e$ Internal energy $J/kg$
$e_0$ Total energy $J/kg$
$h$ Enthalpy $J/kg$
$k$ Turbulent kinetic energy $J/kg$
$p$ Static pressure $Pa$
$R$ Specific gas constant $J/kgK$
$S_{ij}^*$ Trace-less viscous strain-rate tensor $s^{-1}$
$t$ Time $s$
$T$ Static temperature $K$
$u^*$ Friction velocity $m/s$
$u_i$ Velocity $m/s$
$\gamma$ Specific heat ratio = $C_p/C_v$
$\delta_{ij}$ Kronecker's delta function
$\mu$ Dynamic viscosity $Ns/m^2$
$\nu$ Kinematic viscosity $m^2/s$
$\rho$ Density $kg/m^3$
$\tau_{ij}$ Shear stress tensor $N/m^2$
$\omega$ Specific dissipation $s^{-1}$

## Dimensionless parameters:

Parameter Description Definition
$Nu$ Nusselt number $q_w$$L/k\Delta$T
$Pr$ Prandtl number $\mu$$C_p/k$
$Re$ Reynolds number $\rho$$VL/\mu$
$St$ Strouhal number $fL/V$

## Subscript:

 $t$ Turbulent property $0$ Stagnation / total property

## Superscript:

 $conv$ Convective part $diff$ Diffusive part $lam$ Laminar part $tot$ Laminar + turbulent part $turb$ Turbulent part $'$ Reynolds fluctuating part $''$ Favre fluctuating part $\widetilde{\cdot}$ Density weighted (Favre) average $\overline{\cdot}$ Normal average (time or space)