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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 405202, 9 pages
Research Article

A Nonlinear k- Turbulence Model Applicable to High Pressure Gradient and Large Curvature Flow

1School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
2Beijing Institute of Control Engineering, Beijing 100190, China
3State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China

Received 22 September 2013; Revised 4 December 2013; Accepted 30 December 2013; Published 17 February 2014

Academic Editor: Yonghong Wu

Copyright © 2014 Xiyao Gu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Most of the RANS turbulence models solve the Reynolds stress by linear hypothesis with isotropic model. They can not capture all kinds of vortexes in the turbomachineries. In this paper, an improved nonlinear k-ε turbulence model is proposed, which is modified from the RNG k-ε turbulence model and Wilcox's k-ω turbulence model. The Reynolds stresses are solved by nonlinear methods. The nonlinear k-ε turbulence model can calculate the near wall region without the use of wall functions. The improved nonlinear k-ε turbulence model is used to simulate the flow field in a curved rectangular duct. The results based on the improved nonlinear k-ε turbulence model agree well with the experimental results. The calculation results prove that the nonlinear k-ε turbulence model is available for high pressure gradient flows and large curvature flows, and it can be used to capture complex vortexes in a turbomachinery.