For the sake of simplicity, this section will only deal with mixture-length models, and in particular the Baldwin-Lomax model.
These models are based on the Boussinesq hypothesis, which consists in defining, by analogy with molecular viscosity, a turbulent viscosity μ
t
. This viscosity is then expressed as a function of a mixing length, according to the Prandtl approximation.
Over the last few decades, this type of turbulence modeling has benefited from a number of significant improvements, particularly with regard to the expression of the mixing length L
mix
.
The general expression of the Reynolds equation is :
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