Let Cμ be a dimensionless constant and ρ be the density of the flow. Express the eddy dynamic viscosity in terms of k and ε.(a) ρCμk^2/ε(b) ρCμ k/ε(c) ρCμ ε/k(d) ρCμ ε^2/kI have been asked this question in final exam.The origin of the question is Turbulence Modelling topic in portion Turbulence Modelling of Computational Fluid Dynamics

Let Cμ be a dimensionless constant and ρ be the density of the flow.

1.	Let Cμ be a dimensionless constant and ρ be the density of the flow. Express the eddy dynamic viscosity in terms of k and ε.(a) ρCμk^2/ε(b) ρCμ k/ε(c) ρCμ ε/k(d) ρCμ ε^2/kI have been asked this question in final exam.The origin of the question is Turbulence Modelling topic in portion Turbulence Modelling of Computational Fluid Dynamics
Answer» The CORRECT option is (a) ρCμk^2/ε Explanation: USING dimensional analysis, the turbulent dynamic viscosity can be given as μt = Cμ ρϑl Where, ϑ → Velocity scale of large eddies l → Length scale of large eddies Substituting these two in K and ε terms, we get μt = Cμ ρ\(\frac{k^2}{\varepsilon}\) Where, Cμ is a dimensionless constant which is ADJUSTABLE. The STANDARD k-ε model uses Cμ=0.09.

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