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Cebeci–Smith model
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Cebeci–Smith model : ウィキペディア英語版
Cebeci–Smith model
The Cebeci–Smith model is a 0-equation eddy viscosity model used in computational fluid dynamics analysis of turbulent boundary layer flows. The model gives eddy viscosity, \mu_t, as a function of the local boundary layer velocity profile. The model is suitable for high-speed flows with thin attached boundary-layers, typically present in aerospace applications. Like the Baldwin-Lomax model, this model is not suitable for cases with large separated regions and significant curvature/rotation effects. Unlike the Baldwin-Lomax model, this model requires the determination of a boundary layer edge.
The model was developed by Tuncer Cebeci and Apollo M. O. Smith, in 1967.
== Equations ==

In a two-layer model, the boundary layer is considered to comprise two layers: inner (close to the surface) and outer. The eddy viscosity is calculated separately for each layer and combined using:
:
\mu_t =
\begin
_\text & \mbox y \le y_\text \\
_\text & \mbox y > y_\text
\end

where y_\text is the smallest distance from the surface where _\text is equal to _\text.
The inner-region eddy viscosity is given by:
:
_\text = \rho \ell^2 \left(\frac\right)^2 +
\left(\frac\right)^2
\right
)^

where
:
\ell = \kappa y \left( 1 - e^ \right)

with the von Karman constant \kappa usually being taken as 0.4, and with
:
A^+ = 26\left(displacement thickness, given by
:
\delta_v^
* = \int_0^\delta \left(1 - \frac\right)\,dy

and ''F''''K'' is the Klebanoff intermittency function given by
:
F_K = \left(+ 5.5 \left( \frac \right)^6
\right
)^


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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