The relationship between the turbulence intensity Ti and the turbulence kinetic energy k is given by ___________(a) k=\(\frac{1}{2}T_i(\vec{v}.\vec{v})\)(b) k=\(\frac{1}{2}T_i^2(\vec{v}.\vec{v})\)(c) k=\(\frac{1}{2}T_i^2(\vec{v}.\vec{v})\)(d) k=\(\frac{1}{2T_i}(\vec{v}.\vec{v})\)This question was posed to me in final exam.This is a very interesting question from Turbulence Modelling topic in portion Turbulence Modelling of Computational Fluid Dynamics

The relationship between the turbulence intensity Ti and the turbulenc

1.	The relationship between the turbulence intensity Ti and the turbulence kinetic energy k is given by ___________(a) k=\(\frac{1}{2}T_i(\vec{v}.\vec{v})\)(b) k=\(\frac{1}{2}T_i^2(\vec{v}.\vec{v})\)(c) k=\(\frac{1}{2}T_i^2(\vec{v}.\vec{v})\)(d) k=\(\frac{1}{2T_i}(\vec{v}.\vec{v})\)This question was posed to me in final exam.This is a very interesting question from Turbulence Modelling topic in portion Turbulence Modelling of Computational Fluid Dynamics
Answer» Right choice is (b) K=\(\frac{1}{2}T_i^2(\vec{v}.\vec{v})\) To explain I WOULD say: To find the turbulent kinetic energy k using the turbulence intensity value, the following FORMULA is used. k=\(\frac{1}{2}T_i^2(\vec{v}.\vec{v})\) Where, \(\vec{v}\) → Velocity vector.

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