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Applied Mathematics and Mechanics >

2019 , Vol. 40 >Issue 2: 215 - 236

DOI: https://doi.org/10.1007/s10483-019-2428-6

Articles

Non-equilibrium turbulent phenomena in the flow over a backward-facing ramp

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  • 1. Laboratoire de Mecanique Physique(LMP), Ecole Centrale de Pékin, Beihang University, Beijing 100191, China;
    2. National Key Laboratory of Science and Technology on Aero-Engine Aero-Thermodynamics, School of Energy and Power Engineering, Beihang University, Beijing 100191, China;
    3. Scientific Computing Department, Science and Technology Facilities Council(STFC), Daresbury Laboratory, Warrington WA4 4AD, U. K

Received date: 2018-09-05

  Revised date: 2018-10-25

  Online published: 2019-02-01

Supported by

Project supported by the National Natural Science Foundation of China (Nos. 11572025, 11772032, and 51420105008), the National Basic Research Program of China (No. 2014CB046405), and the U. K. Engineering and Physical Sciences Research Council (EPSRC) (Nos. EP/K024574/1 and EP/L000261/1)

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Abstract

Non-equilibrium turbulence phenomena have raised great interests in recent years. Significant efforts have been devoted to non-equilibrium turbulence properties in canonical flows, e.g., grid turbulence, turbulent wakes, and homogeneous isotropic turbulence (HIT). The non-equilibrium turbulence in non-canonical flows, however, has rarely been studied due to the complexity of the flows. In the present contribution, a directnumerical simulation (DNS) database of a turbulent flow is analyzed over a backwardfacing ramp, the flow near the boundary is demonstrated, and the non-equilibrium turbulent properties of the flow in the wake of the ramp are presented by using the characteristic parameters such as the dissipation coefficient C∊ and the skewness of longitudinal velocity gradient Sk, but with opposite underlying turbulent energy transfer properties. The equation of Lagrangian velocity gradient correlation is examined, and the results show that non-equilibrium turbulence is the result of phase de-coherence phenomena, which is not taken into account in the modeling of non-equilibrium turbulence. These findings are expected to inspire deeper investigation of different non-equilibrium turbulence phenomena in different flow conditions and the improvement of turbulence modeling.

Key words： section theorem; coincidence theorem; intersection theorem; H-KKM mapping; variational inequality; minimax inequality; backward ramp; direct numerical simulation (DNS); non-equilibrium turbulence

Cite this article

Le FANG, Hongkai ZHAO, Weidan NI, Jian FANG, Lipeng LU . Non-equilibrium turbulent phenomena in the flow over a backward-facing ramp[J]. Applied Mathematics and Mechanics, 2019 , 40(2) : 215 -236 . DOI: 10.1007/s10483-019-2428-6

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