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Calculation of turbulence kinetic energy and dissipation rate

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Old   February 11, 2020, 22:33
Default Calculation of turbulence kinetic energy and dissipation rate
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Hi Foamers,


Hope all of you are doing well. I am now working on pure natural convection along a heated plate which is a well known topic in CFD. Actually, the reason of my post is about initializing the turbulent kinetic energy (k) and dissipation rate (omega) for a pure natural convection. I know how to calculate k and omega for forced convection using the formula,
k=3/2*(I*U)^2 (I-Tur intensity, U-Reference Velocity).................(1)

omega=k^0.5/(Cmu*l) (Found in OpenFOAM documentation).............(2)
For a forced convection I can easily get the the value of k from Eqn (1) using velocity U. Once I get the value of k, I am also able to calculate omega.



But for a pure natural convection, how can we know the exact velocity? As I know so far velocity depends on density differences for a pure natural convection.

Lets assume the value of k is zero for natural convection as there is no exact velocity. Then how can I calculate omega except k from Eqn (2)?


I am really confused about this silly question. I hope there are lots of people out here to clear my confusion about this topics. If I am unable to understand you about my topics, plz feel free to ask me more info. I am happy to give more information.



Thank you very much in advance.


Cheers

Razon
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