Question

The formula to find ω from the k-value obtained using the turbulence intensity is ____________

(a) ω=\(\frac{k^{3/2}}{l^2}\)

(b) ω=\(\frac{k^{3/2}}{l}\)

(c) ω=\(\frac{k^{1/2}}{l^2} \)

(d) ω=\(\frac{k^{1/2}}{l}\)

I have been asked this question in an international level competition.

I want to ask this question from Turbulence Modelling topic in portion Turbulence Modelling of Computational Fluid Dynamics

Answer 1

The correct option is (d) ω=\(\frac{k^{1/2}}{l}\)

To explain: The ε and the ω-values should be obtained from k-value in the k-ε and k-ω models. The formulae used to get these values are

ε=\(C_μ\frac{k^{\frac{3}{2}}}{l}\)

ω=\(\frac{k^{\frac{1}{2}}}{l}\)

Where,

l → Turbulent length scale.

Cμ → A dimensionless constant.