Eulerian-Lagrangian aspects of a steady multiscale laminar flow

被引:4
|
作者
Rossi, Lionel [1 ]
Vassilicos, John-Christos
Hardalupas, Yannis
机构
[1] Univ London Imperial Coll Sci Technol & Med, Dept Aeronaut, London SW7 2AZ, England
[2] Univ London Imperial Coll Sci Technol & Med, Dept Mech Engn, London SW7 2AZ, England
基金
英国工程与自然科学研究理事会;
关键词
D O I
10.1063/1.2754348
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
One key feature for the understanding and control of turbulent flows is the relation between Eulerian and Lagrangian statistics. This Brief Communication investigates such a relation for a laminar quasi-two-dimensional multiscale flow generated by a multiscale (fractal) forcing, which reproduces some aspects of turbulent flows in the laboratory, e.g., broadband power-law energy spectrum and Richardson's diffusion. We show that these multiscale flows abide with Corrsin's estimation of the Lagrangian integral time scale, T-L, as proportional to the Eulerian (integral) time scale, L-E/u(rms), even though Corrsin's approach was originally constructed for high Reynolds number turbulence. We check and explain why this relation is verified in our flows. The Lagrangian energy spectrum, Phi(w), presents a plateau at low frequencies followed by a power-law energy spectrum Phi(w)similar to w(-alpha) at higher ones, similarly to turbulent flows. Furthermore, Phi(omega) scales with L-E and u(rms) with alpha>1. These are the key elements to obtain such a relation [Phi(w)similar to epsilon w(-2) is not necessary] as in our flows the dissipation rate varies as epsilon similar to u(rms)(3)/LERe lambda-1. To complete our analysis, we investigate a recently proposed relation [M. A. I. Khan and J. C. Vassilicos, Phys. Fluids 16, 216 (2004)] between Eulerian and Lagrangian structure functions, which uses pair-diffusion statistics and the implications of this relation on Phi(omega). Our results support this relation, <[u(L)(t)-u(L)(t+tau)](2)>=<[u(E)(x)-u(E)(x+Delta(2)(tau)e)](2)>, which leads to alpha=gamma/2(p-1)+1. This Eulerian-Lagrangian relation is striking as in the present flows it is imposed by the multiscale distribution of stagnation points, which are an Eulerian property. (C) 2007 American Institute of Physics.
引用
收藏
页数:4
相关论文
共 50 条
  • [1] A multiscale Eulerian-Lagrangian cavitating flow solver in OpenFOAM
    Li, Linmin
    Xu, Weisen
    Jiang, Bowen
    Li, Xiaojun
    Zhu, Zuchao
    [J]. SOFTWAREX, 2023, 21
  • [2] METEOROLOGICAL ASPECTS OF EULERIAN-LAGRANGIAN PROBLEM
    GIFFORD, FA
    [J]. BULLETIN OF THE AMERICAN METEOROLOGICAL SOCIETY, 1962, 43 (12) : 668 - &
  • [3] A Eulerian-Lagrangian description of cavitating flow
    Iben, U.
    Ivanov, N. G.
    Isaenko, I. I.
    Schmidt, A. A.
    [J]. TECHNICAL PHYSICS LETTERS, 2015, 41 (12) : 1159 - 1162
  • [4] EULERIAN-LAGRANGIAN FORMULATION FOR FLOW IN SOILS - THEORY
    SOREK, S
    [J]. ADVANCES IN WATER RESOURCES, 1985, 8 (03) : 118 - 120
  • [5] An Improved Multiscale Eulerian-Lagrangian Method for Simulation of Atomization Process
    Estivalezes, J. L.
    Zuzio, D.
    DiPierro, B.
    [J]. TURBULENCE AND INTERACTIONS (TI 2015), 2018, 135 : 65 - 77
  • [6] Investigation of cavitation noise using Eulerian-Lagrangian multiscale modeling
    Li, Linmin
    Niu, Yabiao
    Wei, Guolai
    Manickam, Sivakumar
    Sun, Xun
    Zhu, Zuchao
    [J]. ULTRASONICS SONOCHEMISTRY, 2023, 97
  • [7] An improved multiscale Eulerian-Lagrangian method for simulation of atomization process
    Zuzio, Davide
    Estivalezes, Jean-Luc
    DiPierro, Bastien
    [J]. COMPUTERS & FLUIDS, 2018, 176 : 285 - 301
  • [8] Assessment of cavitation erosion risk by Eulerian-Lagrangian multiscale modeling
    Li, Linmin
    Pei, Chengqian
    Wang, Zhengdong
    Lin, Zhe
    Li, Xiaojun
    Zhu, Zuchao
    [J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2024, 262
  • [9] Heat transfer investigation of laminar developing flow of nanofluids in a microchannel based on Eulerian-Lagrangian approach
    Mirzaei, Mostafa
    Saffar-Avval, Majid
    Naderan, Hamid
    [J]. CANADIAN JOURNAL OF CHEMICAL ENGINEERING, 2014, 92 (06): : 1139 - 1149
  • [10] Eulerian-Lagrangian Fluid Simulation on Particle Flow Maps
    Zhou, Junwei
    Chen, Duowen
    Deng, Molin
    Deng, Yitong
    Sun, Yuchen
    Wang, Sinan
    Xiong, Shiying
    Zhu, Bo
    [J]. ACM TRANSACTIONS ON GRAPHICS, 2024, 43 (04):