Global transition dynamics of flow in a lid-driven cubical cavity
نویسندگان
چکیده
The dynamics of a fully three-dimensional lid-driven cubical cavity (3D-LDC) flow at several post-critical conditions, i.e., beyond the first bifurcation, are elucidated using both linear and nonlinear analyses. When Reynolds number is increased critical value, symmetry breaks down intermittently with subsequent gradual growth in spanwise inhomogeneity. This results crossflow as well pronounced secondary due to enhanced imbalance between centrifugal pressure forces. Thus, while stable solution obtained $$\hbox {Re}=1900$$ (Reynolds based on lid velocity side length), analysis identifies intermittent nearly saturated regimes {Re}=2100$$ {Re}=3000$$ , respectively. These changes regime examined by considering five basic states different numbers starting from . At lowest number, yields only symmetric modes, characterized Taylor–Görtler-like (TGL) vortices. However, breakdown emergence an antisymmetric low-frequency mode apart primary high-frequency mode. frequencies these modes numerically close those corresponding simulations. even further, TGL structures drift under influence occupy previously structureless region near wall. frequency each decreases increase {Re}$$ ; 1900 3000, more than 20%. Furthermore, spatial support becomes larger within cavity. Both increasingly destabilized however, higher rate. current study thus provides comprehensive picture overall 3D-LDC flows pre- post-bifurcation extended range not considered hitherto.
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ژورنال
عنوان ژورنال: Theoretical and Computational Fluid Dynamics
سال: 2021
ISSN: ['1432-2250', '0935-4964']
DOI: https://doi.org/10.1007/s00162-021-00565-z