Reynolds Equation and Mixing Length Model Phenomenological Theories of Turbulence
The classical phenomenological theories of turbulence are referred
to as the first-order closures (closure at the order of the first moment) or
zero-equation models (no additional differential equation are introduced to solve).
Boussineq Eddy Viscosity Model
Boussineq suggested
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(15)
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where
is the eddy viscosity. For plane shear flow,
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(16)
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It is now well recognized that is
not a constant and is strong function of state of turbulent motion.
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