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What is the relation between various turbulence quantities defined in k-e and k-w models?

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What is the relation between various turbulence quantities defined in k-e and k-w models?

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The basic definitions used in these models are as follows: where: k is the kinetic energy of turbulence e is the dissipation rate of turbulence w is the turbulence vorticity fluctuation or frequency variable t is the turbulence integral length scale l is the standard length scale of turbulence lanswer is the length scale of turbulence used in ANSWER software r is the density of flow k is the von Karman constant Cm is the constant in the eddy viscosity relation With Cm = 0.09 and k =0.4187,

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