Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (5): 575-584.doi: https://doi.org/10.1007/s10483-010-0505-6

• Articles • 上一篇    下一篇

Numerical discussions on complete empirical correlation in Langtry’s transition model

张晓东1 高正红2   

  1. 1. School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, P. R. China;
    2. National Key Wing Tunnel Laboratory, Northwestern Polytechnical University, Xi’an 710072, P. R. China
  • 收稿日期:2010-01-01 修回日期:2010-04-01 出版日期:2010-05-20 发布日期:2010-05-01

Numerical discussions on complete empirical correlation in Langtry’s transition model

ZHANG Xiao-Dong1, GAO Zheng-Hong2   

  1. 1. School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, P. R. China;
    2. National Key Wing Tunnel Laboratory, Northwestern Polytechnical University, Xi’an 710072, P. R. China
  • Received:2010-01-01 Revised:2010-04-01 Online:2010-05-20 Published:2010-05-01

PDF

1742

摘要： Recently, introducing a transition predicting model into the Reynolds averaged Navier-Stokes (RANS) environment has been paid more and more attention. Langtry proposed a correlation-based transition model in 2006, which was built strictly on local variables. However, two core correlations in the model had not been published until 2009. In this paper, after considerable analyses and discussions of the mechanism of this transition model and a series of numerical validations in the skin friction coefficient of flat plate boundary layers, a new correlation based on free-stream turbulence intensity is developed, and the empirical correlation of the transition onset momentum thickness Reynold number aiming at the hypersonic transition is improved. Low-speed/transonic airfoils and a hypersonic double wedge flat are tested to prove the reliability and practicability of this correlation.

关键词: transition empirical correlation, T3 series flat experiment, S809/HS0213 airfoil, hypersonic double wedge flat

Abstract: Recently, introducing a transition predicting model into the Reynolds averaged Navier-Stokes (RANS) environment has been paid more and more attention. Langtry proposed a correlation-based transition model in 2006, which was built strictly on local variables. However, two core correlations in the model had not been published until 2009. In this paper, after considerable analyses and discussions of the mechanism of this transition model and a series of numerical validations in the skin friction coefficient of flat plate boundary layers, a new correlation based on free-stream turbulence intensity is developed, and the empirical correlation of the transition onset momentum thickness Reynold number aiming at the hypersonic transition is improved. Low-speed/transonic airfoils and a hypersonic double wedge flat are tested to prove the reliability and practicability of this correlation.

Key words: transition empirical correlation, T3 series flat experiment, S809/HS0213 airfoil, hypersonic double wedge flat

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn