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Journal of Zhejiang University SCIENCE A 1998 Vol.-1 No.-1 P.


Square cavity flow driven by two mutually facing sliding walls

Author(s):  Bo AN, Josep M. BERGADÀ,, Weimin SANG, Dong LI, F. MELLIBOVSKY

Affiliation(s):  School of Aeronautics, Northwestern Polytechnical University, Xi’ more

Corresponding email(s):   aeroicing@sina.cn

Key Words:  A two-sided wall-driven cavity, velocity ratios, transitions, flow topology, energy cascade

Bo AN, Josep M. BERGADÀ, Weimin SANG, Dong LI, F. MELLIBOVSKY. Square cavity flow driven by two mutually facing sliding walls[J]. Journal of Zhejiang University Science A, 1998, -1(-1): .

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author="Bo AN, Josep M. BERGADÀ, Weimin SANG, Dong LI, F. MELLIBOVSKY",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

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%T Square cavity flow driven by two mutually facing sliding walls
%A Bo AN
%A Weimin SANG
%A Dong LI
%J Journal of Zhejiang University SCIENCE A
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%D 1998
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A2200447

T1 - Square cavity flow driven by two mutually facing sliding walls
A1 - Bo AN
A1 - Josep M. BERGADÀ
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A1 - Weimin SANG
A1 - Dong LI
J0 - Journal of Zhejiang University Science A
VL - -1
IS - -1
SP -
EP -
%@ 1673-565X
Y1 - 1998
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A2200447

We investigate the flow inside a two dimensional square cavity driven by the motion of two mutually facing walls independently sliding at different speeds. The exploration, which employs the lattice Boltzmann Method (LBM), extends on previous studies (An et al. 2019, 2020a, 2020b) that had the two lids moving with the exact same speed in opposite directions. Unlike, there, here the flow is governed by two Reynolds numbersassociated to the velocities of the two moving walls. For convenience, we define a bulk Reynolds number () and quantify the driving velocity asymmetry by a parameter. The parameterhas been defined in the range and a systematic sweep in Reynolds numbers has been undertaken to unfold the transitional dynamics path of the two-sided wall-driven cavity flow. In particular, the critical Reynolds numbers for Hopf and Neimark-Sacker bifurcations have been determined as a function of . The eventual advent of chaotic dynamics and the symmetry properties of the intervening solutions are also analyzed and discussed. The paper unfolds for the first time the full bifurcation scenario as a function of the two Reynolds numbers, and reveals the different flow topologies found along the transitional path.

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