Vortex model of plane turbulent air flows in channels

被引:0
作者
Mironov, Victor L. [1 ]
Mironov, Sergey V. [1 ]
机构
[1] RAS, Inst Phys Microstruct, Nizhnii Novgorod 603950, Russia
关键词
Vortex model of turbulence; Eddy viscosity; Plane wall-bounded flows; Couette flow; Poiseuille flow; DIRECT NUMERICAL-SIMULATION; COUETTE-FLOW; NEAR-WALL; BOUNDARY-LAYER; VELOCITY; FLUID;
D O I
10.1186/s42774-023-00171-z
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
We present a theoretical model of plane turbulent flows based on the previously proposed equations, which take into account both the longitudinal motion and the vortex tube rotation. Using the simple model of eddy viscosity, we obtain the analytical expressions for the mean velocity profiles of stationary turbulent flows. In particular, we consider the near-wall flow over a flat plate in a wind tunnel as well as Couette and Poiseuille flows in rectangular channels. In all these cases, the calculated velocity profiles are in good agreement with experimental data and results of direct numerical simulations.
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页数:17
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共 58 条
  • [1] Direct numerical simulation of a fully developed turbulent channel flow with respect to the Reynolds number dependence
    Abe, H
    Kawamura, H
    Matsuo, Y
    [J]. JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, 2001, 123 (02): : 382 - 393
  • [2] Analytical solutions for the modeled k equation
    Absi, Rafik
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2008, 75 (04): : 0445011 - 0445014
  • [3] MODELING PLANE TURBULENT COUETTE-FLOW
    ANDERSSON, HI
    PETTERSSON, BA
    [J]. INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 1994, 15 (06) : 447 - 455
  • [4] [Anonymous], 1858, J. Reine Angew. Math., DOI DOI 10.1515/CRLL.1858.55.25
  • [5] Measurement of the flow behavior index of Newtonian and shear-thinning fluids via analysis of the flow velocity characteristics in a mini-channel
    Ansari, Shadi
    Rashid, Md. Ashker Ibney
    Waghmare, Prashant R.
    Nobes, David S.
    [J]. SN APPLIED SCIENCES, 2020, 2 (11):
  • [6] AN INVESTIGATION OF TURBULENT PLANE COUETTE-FLOW AT LOW REYNOLDS-NUMBERS
    BECH, KH
    TILLMARK, N
    ALFREDSSON, PH
    ANDERSSON, HI
    [J]. JOURNAL OF FLUID MECHANICS, 1995, 286 : 291 - 325
  • [7] Boussinesq J., 1877, Essai sur la thorie des eaux courantes
  • [8] Cess R.D., 1958, A survey of the literature on heat transfer in turbulent tube flow
  • [9] Direct numerical simulation of a turbulent plane Couette-Poiseuille flow with zero-mean shear
    Choi, Yun Kyung
    Lee, Jae Hwa
    Hwang, Jinyul
    [J]. INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 2021, 90
  • [10] ELTELBANY MMM, 1980, J FLUID MECH, V100, P1, DOI 10.1017/S0022112080000973