# Baldwin-Barth model

(Difference between revisions)
 Revision as of 08:42, 26 September 2005 (view source)Zxaar (Talk | contribs)← Older edit Revision as of 08:59, 26 September 2005 (view source)Zxaar (Talk | contribs) Newer edit → Line 1: Line 1: ==Kinematic Eddy Viscosity== ==Kinematic Eddy Viscosity== :$\nu _t = C_\mu \nu \tilde R_T D_1 D_2$ :$\nu _t = C_\mu \nu \tilde R_T D_1 D_2$ + ==Turbulence  Reynolds Number == + + :$+ {\partial \over {\partial t}}\left( {\nu \tilde R_T } \right) = U_j {\partial \over {\partial x_j }}\left( {\nu \tilde R_T } \right) = \left( {C_{\varepsilon 2} f_2 - C_{\varepsilon 1} } \right)\sqrt {\nu \tilde R_T P} + \left( {\nu + {{\nu _T } \over {\sigma _\varepsilon }}} \right){{\partial ^2 } \over {\partial x_k \partial x_k }} - {1 \over {\sigma _\varepsilon }}{{\partial \nu _T } \over {\partial x_k }}{{\partial \left( {\nu \tilde R_T } \right)} \over {\partial x_T }} +$ + + + == Closure Coefficients and Auxilary Relations == + + :$+ C_{\varepsilon 1} = 1.2 +$
+ :$+ C_{\varepsilon 2} = 2.0 +$
+ :$+ C_\mu = 0.09 +$
+ :$+ A_o^ + = 26 +$
+ :$+ A_2^ + = 10 +$

## Kinematic Eddy Viscosity

$\nu _t = C_\mu \nu \tilde R_T D_1 D_2$

## Turbulence Reynolds Number

${\partial \over {\partial t}}\left( {\nu \tilde R_T } \right) = U_j {\partial \over {\partial x_j }}\left( {\nu \tilde R_T } \right) = \left( {C_{\varepsilon 2} f_2 - C_{\varepsilon 1} } \right)\sqrt {\nu \tilde R_T P} + \left( {\nu + {{\nu _T } \over {\sigma _\varepsilon }}} \right){{\partial ^2 } \over {\partial x_k \partial x_k }} - {1 \over {\sigma _\varepsilon }}{{\partial \nu _T } \over {\partial x_k }}{{\partial \left( {\nu \tilde R_T } \right)} \over {\partial x_T }}$

## Closure Coefficients and Auxilary Relations

$C_{\varepsilon 1} = 1.2$
$C_{\varepsilon 2} = 2.0$
$C_\mu = 0.09$
$A_o^ + = 26$
$A_2^ + = 10$