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Swirl Factor RNG k-epsilon (Swirl dominated flow)

    • mrdurango
      Subscriber

      Hi, I'm working on a hydrocyclone validation and I need to know what it is the turbulent viscosity equation for RNG k-e which depend on a swirl factor, k/epsilon and rotational tensor.


      thanks.

    • Rob
      Forum Moderator

      The equations are covered in the manual(s), and literature. However, I'd also suggest (very carefully) reading the model limitations and recommendations before choosing a different turbulence model! 

    • mrdurango
      Subscriber

      The equations are covered in the manual(s), and literature. However, I'd also suggest (very carefully) reading the model limitations and recommendations before choosing a different turbulence model! 


       



      Hello rwoolhou , thank you for your answer.


      As you suggested, I read in section "12.19.6 Swirl Modification" (from 12.19.6 Swirl Modification) the default swirl constant ( $alpha_s$ in Equation  12.4-8 ) is set to 0.07 (what is this "swirl constant" in the first place?). However, equation 12.4-8 from RNG Swirl Modification:


       


       mu_t = mu_{t0} ;; f ! left( alpha_s, Omega, frac{k}{epsilon} right)        eq. 12.4-8


       


      only shows the functional dependence on $alpha_s$, but not the function itself. From the theoretical point of view, I want to know how this function is included in the model since I have not found any literature (apart from here) where such a relationship is used. We know  (eq. 12.4-7):


       


       mu_{t} = rho C_mu frac{k^2}{epsilon}         eq. 12.4-7


       


      My question then is: why this swirl factor is included?  what is "f" in eq. 12.4-8, i.e what is the function that corrects the turbulent viscosity in eq. 12.4-7 by using  $alpha_s$ and $Omega$.


       


      I would be very grateful if you could point me to any articles about this, since to my knowledge, the k-e model doesn´t incorporate any "swirl factor" in its equations.


       


       


       


       


      Thank you for your time. 


       


      Marvin.


       

    • Rob
      Forum Moderator

      I was referring to the limitation of the 2-equations models: we never use them for cyclones. You need to use the RSM Model and a good quality hex or poly mesh. 


      Most of the equations should also have references (use the R19 support: v6 is about 17-18 years old), I can't comment other than to refer you to those: not that they're needed as you'll be reading the limitations! 

    • mrdurango
      Subscriber

      Hello rwoolhou, thank you for your answer. I looked into the last version of fluent documentation and it says the same I showed you. I know it is not recommended to work with RNG k-e in cyclones, and I have as well used the RSM Model and obtained good results. Apart from this, however, my question persists, what is the "swirl factor" and how it is implemented into the k-e model equations, it seems to me a bit obscure. 


       


      Thank you for your time again!


       


      Marvin

    • Amine Ben Hadj Ali
      Ansys Employee

      The function is not published and is confidential.

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