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Baldwin-Barth model

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==Kinematic Eddy Viscosity==
==Kinematic Eddy Viscosity==
:<math> \nu _t  = C_\mu  \nu \tilde R_T D_1 D_2 </math>
:<math> \nu _t  = C_\mu  \nu \tilde R_T D_1 D_2 </math>
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==Turbulence  Reynolds Number ==
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:<math>
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{\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 }}
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</math>
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== Closure Coefficients and Auxilary Relations ==
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:<math>
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  C_{\varepsilon 1}  = 1.2 
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</math> <br>
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:<math>
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    C_{\varepsilon 2}  = 2.0 
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</math> <br>
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:<math>
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  C_\mu  = 0.09 
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</math> <br>
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:<math>
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  A_o^ +  = 26 
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</math> <br>
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:<math>
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  A_2^ +  = 10 
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</math> <br>

Revision as of 08:59, 26 September 2005

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
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