Which of these equations give the turbulence intensity?(a) \(\frac{\sqrt{\overline{\vec{V}^{‘}.\vec{V}^{‘}}}}{\sqrt{\vec{V}.\vec{V}}}\)(b) \(\frac{\sqrt{\vec{V}.\vec{V}}}{\sqrt{\overline{\vec{V}^{‘}.\vec{V}^{‘}}}}\)(c) \(\frac{\sqrt{\overline{\vec{V}^{‘}}}}{\sqrt{\vec{V}}}\)(d) \(\frac{\sqrt{\vec{V}}}{\sqrt{\overline{\vec{V}^{‘}}}}\)The question was asked in a job interview.This interesting question is from Turbulence Modelling in section Turbulence Modelling of Computational Fluid Dynamics

Which of these equations give the turbulence intensity?(a) \(\frac{\sq

1.	Which of these equations give the turbulence intensity?(a) \(\frac{\sqrt{\overline{\vec{V}^{‘}.\vec{V}^{‘}}}}{\sqrt{\vec{V}.\vec{V}}}\)(b) \(\frac{\sqrt{\vec{V}.\vec{V}}}{\sqrt{\overline{\vec{V}^{‘}.\vec{V}^{‘}}}}\)(c) \(\frac{\sqrt{\overline{\vec{V}^{‘}}}}{\sqrt{\vec{V}}}\)(d) \(\frac{\sqrt{\vec{V}}}{\sqrt{\overline{\vec{V}^{‘}}}}\)The question was asked in a job interview.This interesting question is from Turbulence Modelling in section Turbulence Modelling of Computational Fluid Dynamics
Answer» Right OPTION is (a) \(\FRAC{\sqrt{\overline{\vec{V}^{‘}.\vec{V}^{‘}}}}{\sqrt{\vec{V}.\vec{V}}}\) Easiest explanation: The turbulence intensity which is used to get the K and ε-values for the inlet boundary conditions is \(T_i=\frac{\sqrt{\overline{\vec{V}^{‘}.\vec{V}^{‘}}}}{\sqrt{\vec{V}.\vec{V}}}\) Where, \(\vec{V}\) → VELOCITY vector.

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