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If k is the turbulent kinetic energy, what is the relationship between the turbulence frequency (ω) and dissipation rate of the turbulent kinetic energy (ε)?

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If k is the turbulent kinetic energy, what is the relationship between the turbulence frequency (ω) and dissipation rate of the turbulent kinetic energy (ε)?

(a) ω=ε/k

(b) ω=k/ε

(c) ω=ε^2/k

(d) ω=k^2/ε

The question was asked in an internship interview.

This intriguing question originated from Turbulence Modelling topic in chapter Turbulence Modelling of Computational Fluid Dynamics

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Correct choice is (a) ω=ε/k

Easiest explanation: Turbulence frequency is the ratio of the rate of dissipation of the turbulent kinetic energy to the turbulent kinetic energy. It is given by ω=ε/k. The values of ω are easier to assume than the ε values.

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