Nomenclature

(Difference between revisions)

Latest revision as of 20:23, 11 June 2011

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	$J/kg = m^2/s^2$
$p$	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 = $C_p/C_v$
$\epsilon$	Turbulence dissipation	$J / kg s = m^2 / s^3$
$\delta_{ij}$	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	$s^{-1}$
$Y_k$	Mass Fraction of species k
$X_k$	Molar Fraction of species k
$[X_k]$	Molar Concentration of species k	$mol/m^3$
$W_k$	Molecular weight of species k	$kg/mol$
$\overline{W}$	Mean molecular weight of a mixture	$kg/mol$
$\dot \omega_k$	k-species reaction rate	$kg/m^3 s$

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

$conv$	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)

@@ Line 33: / Line 33: @@
    <td><math>k</math></td>
    <td>Turbulent kinetic energy</td>
-   <td><math>J/kg</math></td>
+   <td><math>J/kg = m^2/s^2</math></td>
 </tr>
 <tr>
@@ Line 74: / Line 74: @@
    <td>[[Ratio of specific heats | Specific heat ratio]] = <math>C_p/C_v</math></td>
    <td></td>
+</tr>
+<tr>
+  <td><math>\epsilon</math></td>
+  <td>Turbulence dissipation</td>
+  <td><math>J / kg s = m^2 / s^3</math></td>
 </tr>
 <tr>
@@ Line 154: / Line 159: @@
    <td><math>Nu</math></td>
    <td>[[Nusselt number]]</td>
-   <td><math>\frac{q_w L}{k \Delta T}</math></td>
+   <td><math>\frac{h L}{k}</math></td>
 </tr>
 <tr>
@@ Line 170: / Line 175: @@
    <td>[[Strouhal number]]</td>
    <td><math>\frac{fL}{V}</math></td>
+</tr>
+<tr>
+  <td><math>Ma</math></td>
+  <td>[[Mach number]]</td>
+  <td><math>\frac{v}{C}</math></td>
 </tr>
 </table>