A New k- Model for Prediction of Transitional Boundary-Layer Under Zero-Pressure Gradient

- Journal title : Transactions of the Korean Society of Mechanical Engineers B
- Volume 25, Issue 3, 2001, pp.305-314
- Publisher : The Korean Society of Mechanical Engineers
- DOI : 10.22634/KSME-B.2001.25.3.305

Title & Authors

A New k- Model for Prediction of Transitional Boundary-Layer Under Zero-Pressure Gradient

Baek, Seong-Gu; Im, Hyo-Jae; Jeong, Myeong-Gyun;

Baek, Seong-Gu; Im, Hyo-Jae; Jeong, Myeong-Gyun;

Abstract

A modified model is proposed for calculation of transitional boundary layer flows. In order to develop the eddy viscosity model for the problem, the flow is divided into three regions; namely, pre-transition region, transition region and fully turbulent region. The pre-transition eddy-viscosity is formulated by extending the mixing length concept. In the transition region, the eddy-viscosity model employs two length scales, i.e., pre-transition length scale and turbulent length scale pertaining to the regions upstream and the downstream, respectively, and a universal model of stream-wise intermittency variation is used as a function bridging the pre-transition region and the fully turbulent region. The proposed model is applied to calculate three benchmark cases of the transitional boundary layer flows with different free-stream turbulent intensity (1%∼6%) under zero-pressure gradient. It was found that the profiles of mean velocity and turbulent intensity, local maximum of velocity fluctuations, their locations as well as the stream-wise variation of integral properties such as skin friction, shape factor and maximum velocity fluctuations are very satisfactorily predicted throughout the flow regions.

Keywords

k- Model;Bypass Transition;Pre-Transition Region;Intermittency;Boundary-Layer;Mixing-Length;Flat Plate;

Language

Korean

Cited by

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