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If νt is the turbulent kinematic viscosity, lm is the mixing length and U is the mean flow velocity in the x-direction, which of these gives the Prandtl mixing length model equation?(a) \(ν_t =l_m^2 \Big|\frac{∂U}{∂x}\Big|\)(b) \(ν_t =l_m^2 \Big|\frac{∂U}{∂y}\Big|\)(c) \(ν_t =l_m \Big|\frac{∂U}{∂y}\Big|\)(d) \(ν_t =l_m^2 \Big|\frac{∂U}{∂x}\Big|\)This question was posed to me in homework.Enquiry is from Mixing Length Turbulence Model in section Turbulence Modelling of Computational Fluid Dynamics

Answer» RIGHT OPTION is (b) \(ν_t =l_m^2 \Big|\frac{∂U}{∂y}\Big|\)

To elaborate: PRANDTL MIXING length model is an attempt to give the transport of momentum in terms of Reynolds stresses. \(ν_t =l_m^2 \Big|\frac{∂U}{∂y}\Big|\) gives the Prandtl mixing length model.


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