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Title: Development of a One-Equation Transition/Turbulence Model

Abstract

This paper reports on the development of a unified one-equation model for the prediction of transitional and turbulent flows. An eddy viscosity - transport equation for non-turbulent fluctuation growth based on that proposed by Warren and Hassan (Journal of Aircraft, Vol. 35, No. 5) is combined with the Spalart-Allmaras one-equation model for turbulent fluctuation growth. Blending of the two equations is accomplished through a multidimensional intermittence function based on the work of Dhawan and Narasimha (Journal of Fluid Mechanics, Vol. 3, No. 4). The model predicts both the onset and extent of transition. Low-speed test cases include transitional flow over a flat plate, a single element airfoil, and a multi-element airfoil in landing configuration. High-speed test cases include transitional Mach 3.5 flow over a 5{degree} cone and Mach 6 flow over a flared-cone configuration. Results are compared with experimental data, and the spatial accuracy of selected predictions is analyzed.

Authors:
; ; ;
Publication Date:
Research Org.:
Sandia National Labs., Albuquerque, NM (US); Sandia National Labs., Livermore, CA (US)
Sponsoring Org.:
US Department of Energy (US)
OSTI Identifier:
764041
Report Number(s):
SAND2000-2373J
TRN: AH200037%%247
DOE Contract Number:  
AC04-94AL85000
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIAA Journal; Other Information: Submitted to AIAA Journal; PBD: 26 Sep 2000
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; ACCURACY; AIRFOILS; CONES; CONFIGURATION; FLUCTUATIONS; FORECASTING; TRANSPORT; TURBULENT FLOW; VISCOSITY

Citation Formats

EDWARDS,JACK R., ROY,CHRISTOPHER J., BLOTTNER,FREDERICK G., and HASSAN,HASSAN A. Development of a One-Equation Transition/Turbulence Model. United States: N. p., 2000. Web. doi:10.2514/6.2000-133.
EDWARDS,JACK R., ROY,CHRISTOPHER J., BLOTTNER,FREDERICK G., & HASSAN,HASSAN A. Development of a One-Equation Transition/Turbulence Model. United States. doi:10.2514/6.2000-133.
EDWARDS,JACK R., ROY,CHRISTOPHER J., BLOTTNER,FREDERICK G., and HASSAN,HASSAN A. Tue . "Development of a One-Equation Transition/Turbulence Model". United States. doi:10.2514/6.2000-133. https://www.osti.gov/servlets/purl/764041.
@article{osti_764041,
title = {Development of a One-Equation Transition/Turbulence Model},
author = {EDWARDS,JACK R. and ROY,CHRISTOPHER J. and BLOTTNER,FREDERICK G. and HASSAN,HASSAN A.},
abstractNote = {This paper reports on the development of a unified one-equation model for the prediction of transitional and turbulent flows. An eddy viscosity - transport equation for non-turbulent fluctuation growth based on that proposed by Warren and Hassan (Journal of Aircraft, Vol. 35, No. 5) is combined with the Spalart-Allmaras one-equation model for turbulent fluctuation growth. Blending of the two equations is accomplished through a multidimensional intermittence function based on the work of Dhawan and Narasimha (Journal of Fluid Mechanics, Vol. 3, No. 4). The model predicts both the onset and extent of transition. Low-speed test cases include transitional flow over a flat plate, a single element airfoil, and a multi-element airfoil in landing configuration. High-speed test cases include transitional Mach 3.5 flow over a 5{degree} cone and Mach 6 flow over a flared-cone configuration. Results are compared with experimental data, and the spatial accuracy of selected predictions is analyzed.},
doi = {10.2514/6.2000-133},
journal = {AIAA Journal},
number = ,
volume = ,
place = {United States},
year = {Tue Sep 26 00:00:00 EDT 2000},
month = {Tue Sep 26 00:00:00 EDT 2000}
}