Prandtl's oneequation model
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+  {{Turbulence modeling}}  
==Kinematic Eddy Viscosity==  ==Kinematic Eddy Viscosity==  
:<math>  :<math>  
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</math> <br>  </math> <br>  
:<math>  :<math>  
  C_D = 0.  +  C_D = 0.08 
  </math> <br>  +  </math> <ref>The exact constant used by Prandtl is currently unknown by the author. Wilcox mentions that other researchers (Emmons 1954 and Glushko 1965) have used a value ranging from 0.07 to 0.09. Prandtl's one equation model can be written in a slightly different way with different constants. For example, CHAM lists the <math>C_D</math>constant as 0.1643, but also uses another definition of the length scale and other constants (see [http://www.simuserve.com/phoenics/d_polis/d_lecs/pnalecs/lec722.htm#7 here]).</ref> 
+  <br>  
:<math>  :<math>  
\sigma _k = 1  \sigma _k = 1  
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\tau _{ij} = 2\nu _T S_{ij}  {2 \over 3}k\delta _{ij}  \tau _{ij} = 2\nu _T S_{ij}  {2 \over 3}k\delta _{ij}  
</math>  </math>  
+  
+  :<math>l</math> is the turbulent length scale  
== References ==  == References ==  
  +  *{{referencebookauthor=Wilcox, D.C. year=2004title=Turbulence Modeling for CFDrest=ISBN 192872910X, 2nd Ed., DCW Industries, Inc.}}  
+  *{{referencepaperauthor=Emmons, H. W.year=1954title=Shear flow turbulencerest=Proceedings of the 2nd U.S. Congress of Applied Mechanics, ASME}}  
+  *{{referencepaperauthor=Glushko, G.year=1965title=Turbulent boundary layer on a flat plate in an incompressible fluidrest=Izvestia Akademiya Nauk SSSR, Mekh, No 4, P 13}}  
+  ==Footnotes==  
+  
+  <div class="referencessmall">  
+  <references/>  
+  </div>  
    
<i> Return to [[Turbulence modeling]] </i>  <i> Return to [[Turbulence modeling]] </i>  
+  
+  [[Category:Turbulence models]] 
Latest revision as of 19:43, 22 September 2010
Contents 
Kinematic Eddy Viscosity
Model
Closure Coefficients and Auxilary Relations

 ^{[1]}
where
 is the turbulent length scale
References
 Wilcox, D.C. (2004), Turbulence Modeling for CFD, ISBN 192872910X, 2nd Ed., DCW Industries, Inc..
 Emmons, H. W. (1954), "Shear flow turbulence", Proceedings of the 2nd U.S. Congress of Applied Mechanics, ASME.
 Glushko, G. (1965), "Turbulent boundary layer on a flat plate in an incompressible fluid", Izvestia Akademiya Nauk SSSR, Mekh, No 4, P 13.
Footnotes
 ↑ The exact constant used by Prandtl is currently unknown by the author. Wilcox mentions that other researchers (Emmons 1954 and Glushko 1965) have used a value ranging from 0.07 to 0.09. Prandtl's one equation model can be written in a slightly different way with different constants. For example, CHAM lists the constant as 0.1643, but also uses another definition of the length scale and other constants (see here).
Return to Turbulence modeling