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A roughness-dependent model

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Kinematic Eddy Viscosity

Two-equation model: \nu _t = C_{\mu} {{k^2 } \over \varepsilon } where: C_{\mu} = 0.09

One-equation model: \nu _t = l k^{{1 \over 2}} = {C_{\mu}}^{1/4} l_m k^{{1 \over 2}}

Algebraic model: k^{{1 \over 2}} = {1 \over {C_{\mu}}^{1/4}}


References

  • Absi, R. (2006), "A roughness and time dependent mixing length equation", Journal of Hydraulic, Coastal and Environmental Engineering, Japan Society of Civil Engineers, (Doboku Gakkai Ronbunshuu B), Vol. 62, No. 4, pp.437-446.


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