Nomenclature

(Difference between revisions)

Revision as of 05:07, 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	$s^{-1}$

$t$	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 39: / Line 39: @@
    <td>Static pressure</td>
    <td><math>Pa</math></td>
-</tr>
-<tr>
-  <td><math>Pr</math></td>
-  <td>Prandtl number</td>
-  <td></td>
 </tr>
 <tr>
@@ Line 110: / Line 105: @@
    <td>Specific dissipation</td>
    <td><math>s^{-1}</math></td>
+</tr>
+</table>
+== Dimensionless Parameters: ==
+<table cellspacing="10">
+<tr>
+  <td><math>Nu</math></td>
+  <td>Nusselt number</td>
+  <td><math>q_w</math><math>L/k\Delta</math>T</td>
+</tr>
+<tr>
+  <td><math>Pr</math></td>
+  <td>Prandtl number</td>
+  <td><math>\mu</math><math>C_p/k</math></td>
+</tr>
+<tr>
+  <td><math>Re</math></td>
+  <td>Reynolds number</td>
+  <td><math>\rho</math><math>VL/\mu</math></td>
+</tr>
+<tr>
+  <td><math>St</math></td>
+  <td>Strouhal number</td>
+  <td><math>fL/V</math></td>
 </tr>
 </table>