Large-scale flows and resonances in 2-D thermal convection

Prat, Josep; Massaguer, J. M.; Mercader, Isabel

doi:10.1063/1.868732

Cited by 24 publications

(19 citation statements)

References 16 publications

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“…The flow field showed a sequence of transitions from stable laminar flow to instable flow and ultimately to turbulent flow. Prat and Massaguer [5] simulated RayleighBénard convection and confirmed that the chaos existed in Rayleigh-Bénard convection. Mukutmoni and Yang [6] simulated Rayleigh-Bénard convection in a small aspect ratio cavity and confirmed that the oscillation and chaos existed.…”

Section: Introductionsupporting

confidence: 64%

Experimental research on nonlinear characteristics of natural convection in a 3-D shallow cavity

Zhan

Gao

Bai³

et al. 2011

Sci. China Technol. Sci.

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Experiments were conducted to study the temperature field, flow field, 3-D characteristics and self-sustained oscillation of the natural air convection in a 3-D shallow cavity which was heated from underneath. The experiments were conducted by the methods of laser holographic interferometry photography and smoke visualization. To ensure the temperature of both plates to be constant and the accuracy of laser interferometer, the instrument was calibrated and error has was analyzed. The results showed that the flow field was stable at lower Rayleigh numbers. When the Rayleigh number increased, the flow field became instable and the isotherms distorted. The rolls merged at Ra=12500 and formed along both axes when Ra was over 18500. The air rose from the middle and descended in the circumference while the flow field and heat transfer converted to 3-D characteristic from 2-D characteristic. When the Rayleigh number increased, the flow field became more instable. The rolls became irregular and time dependent when RaRa c (=30500), which is nonlinear. When lateral walls were heated or cooled, the rolls merged along the long axis and two rolls formed along the short axis. Three rolls formed occasionally in the process. interferometric tomography, smoke visualization, critical Rayleigh number, 3-D characteristic, oscillation and chaos Citation: Zhan N Y, Gao Q, Bai L, et al. Experimental research on nonlinear characteristics of natural convection in a 3-D shallow cavity.

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Section: Introductionsupporting

confidence: 64%

Experimental research on nonlinear characteristics of natural convection in a 3-D shallow cavity

Zhan

Gao

Bai³

et al. 2011

Sci. China Technol. Sci.

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“…These mean ows maybeimportantinavarietyofcontexts, including the generation of zonal winds in planetary atmospheres 6] and plasma ows in tokamaks 2]. The shear ow instabilityoftwo-dimensional convection is noww ell understood, and has been observed in experiments 7] and numerical simulations 3,4,8]. Loworder models of the instabilityhaveplayed a central role in interpreting the complicated dynamics associated with the development of mean ows 1,8].…”

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confidence: 99%

The three-dimensional development of the shearing instability of convection

et al. 1996

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Two-dimensional convection can become unstable to a mean shear flow. In three dimensions, with periodic boundary conditions in the two horizontal directions, this instability can cause the alignment of convection rolls to alternate between the x and y axes. Rolls with their axes in the y-direction become unstable to a shear flow in the x-direction that tilts and suppresses the rolls, but this flow does not affect rolls whose axes are aligned with it. New rolls, orthogonal to the original rolls, can grow, until they in turn become unstable to a shear flow. This behavior is illustrated through numerical simulations and low-order models, and the sequence of local and global bifurcations is determined.

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“…This problem has attracted many studies, but many questions remain to be answered. Some researchers employ experimental methods [1][2][3][4][5], others use numerical approaches [6][7][8]. Prediction of the critical Rayleigh number (Ra cr ) for initiating Bénard cells and explanation of sudden shape changes of the symmetric Bénard cells are essential topics of studying RB convection.…”

Section: Introductionmentioning

confidence: 99%

A Quasi-Implicit Time-Advancing Scheme for 3-D Rayleigh-Bénard Convection

Liang

Jan

Huang

2013

Numerical Heat Transfer, Part B: Fundamentals

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A quasi-implicit time-advancing scheme based on an unstructured finite-volume formulation is presented for solving unsteady thermofluid flows. The developed model is first used to simulate 2-D natural convection with Rayleigh number ranging from 10 3 to 10 6 . Steadystate solution is obtained in an unsteady time-marching manner. Heat transfer from conduction-dominant to convection-dominant is illustrated. The method is then applied to unsteady 3-D Rayleigh-Bénard convective flows. 3-D Rayleigh-Bénard convections with Rayleigh number 3,416 and 13,900 are studied. Evolution of thermofluid flow undergoing a sequence of transitions is identified. Spatially periodic patterns of polygonal cells are reproduced. Decrease of number of Rayleigh-Bénard cells as Rayleigh number increases is discerned. Results of the computed wave number and Nusselt number compare well with available experimental data and other numerical results.

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Large-scale flows and resonances in 2-D thermal convection

Cited by 24 publications

References 16 publications

Experimental research on nonlinear characteristics of natural convection in a 3-D shallow cavity

Experimental research on nonlinear characteristics of natural convection in a 3-D shallow cavity

The three-dimensional development of the shearing instability of convection

A Quasi-Implicit Time-Advancing Scheme for 3-D Rayleigh-Bénard Convection

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