The Cebeci–Smith model, developed by Tuncer Cebeci and Apollo M. O. Smith in 1967, is a 0-equation eddy viscosity model used in computational fluid dynamics analysis of turbulence in boundary layer flows. The model gives eddy viscosity, , 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, it is not suitable for large regions of flow separation and significant curvature or rotation. Unlike the Baldwin-Lomax model, this model requires the determination of a boundary layer edge.
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:
where is the smallest distance from the surface where is equal to .
The inner-region eddy viscosity is given by:
where
with the von Karman constant usually being taken as 0.4, and with
The eddy viscosity in the outer region is given by:
where , is the displacement thickness, given by
and FK is the Klebanoff intermittency function given by
References
Smith, A.M.O. and Cebeci, T., 1967. Numerical solution of the turbulent boundary layer equations. Douglas aircraft division report DAC 33735 Cebeci, T. and Smith, A.M.O., 1974. Analysis of turbulent boundary layers. Academic Press, Wilcox, D.C., 1998. Turbulence Modeling for CFD. , 2nd Ed., DCW Industries, Inc.
External links
This article was based on the Cebeci Smith model article in CFD-Wiki