Three-dimensionality development inside standard parallelepipedic lid-driven cavities at Re=1000

Migeon, Christophe; Pineau, G.; Texier, Alain

doi:10.1016/s0889-9746(03)00009-4

Cited by 24 publications

(17 citation statements)

References 22 publications

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“…Recently, Migeon et al [10] performed experimental investigation of laminar forced convection inside the two-dimensional square, rectangular, and semi-circular water cavities at a Reynolds number of 1000. Lately, the same group of authors extended their experimental study to the three-dimensional square and rectangular water cavity ows [11].…”

Section: Introductionmentioning

confidence: 99%

Numerical study of flow and thermal behaviour of lid-driven flows in cavities of small aspect ratios

Chen

Cheng

2006

Int. J. Numer. Meth. Fluids

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SUMMARYNumerical study has been performed to investigate the e ects of cavity shape on ow and heat transfer characteristics of the lid-driven cavity ows. Dependence of ow and thermal behaviour on the aspect ratio of the cavities is also evaluated. Three types of the cross-sectional shape, namely, circular, triangular, and rectangular, and four aspect ratios, 0:133; 0:207; 0:288, and 0.5, are taken into account to construct twelve possible combinations; however, attention is focused on the small-aspect-ratio situations. Value of the Reynolds number considered in this study is varied between 100 and 1800. For the cases considered in this study a major clockwise vortex driven by the moving lid prevailing in the cavity is always observed. When the Reynolds number is ÿxed, the rectangular cavity produces strongest lid-driven ow, and the triangular cavity weakest. For the cases at small aspect ratio and low Reynolds number, the streamlines appear symmetric fore-and-aft with respect to the central line at x=L = 0:5. Data for the local and average Nusselt numbers are also provided. For rectangular cavities, it is observed that case 1=5R produces the highest average Nusselt number at any Reynolds number. Among the twelve possible geometric cases considered herein, the highest and lowest average Nusselt numbers are found with cases 1=6T and 1=2C, respectively.

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Section: Introductionmentioning

confidence: 99%

Numerical study of flow and thermal behaviour of lid-driven flows in cavities of small aspect ratios

Chen

Cheng

2006

Int. J. Numer. Meth. Fluids

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“…Figure 2 displays perspective views of the transport mechanism for Ra  10 4 compounded by a spanwise outward current and a spanwise inward current (predominant mechanism observed in the lid-driven cavity flow examined by Migeon et al (2003). For Ra  10 4 , this fundamental mechanism is changed by the rising of two co-rotating secondary eddies, which appear as spanwise inward current for Ra  10 5 (consistent with the pattern experimentally observed by Hiller et al, 1990) and a spanwise outward current for Ra  10 6 .…”

Section: Resultsmentioning

confidence: 99%

Numerical Analysis of Natural Convection inside Cubical Cavities Exposed to Diverse Boundary Conditions

Padilla

Lourenço²,

Campo³

2016

AJHMT

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This paper presents a numerical study of fluid flow and natural convection inside cubical cavities using the finite volume method with second order schemes. Cubical cavities of various sizes with three different thermal configurations were considered, where two opposite vertical walls are isothermal and the other walls are either adiabatic or conducting (with linear temperature variation). The numerical simulations were performed for air and gases with Prandtl number 0.71 under the influence of variable Rayleigh numbers covering the range 10 3 -10 7 . The effects of the three thermal configurations in terms of velocities and temperatures were investigated for both steady and unsteady flow regimes. Additionally, the magnitudes of local and average Nusselt numbers in each direction of the cubical cavity were scrutinized. Using conducting walls, the heat transfer analysis in different directions divulged that the heat flow through the top/bottom walls surpasses 1/3 of the total heat flow of the cubical cavity. Overall, the collection of numerical results demonstrates good agreement when compared with experimental-based and numerical-based publications.

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“…High Reynolds numbers were analyzed, Re>2000, in order to observe STD-instabilities and to compare with the experimental research (e.g., Migeon et al 2003;Lusseyran et al 2003). …”

Section: Microscopic Flow Problemmentioning

confidence: 99%

“…1 (surface a-M-N-b). It is known that this surface becomes unstable above a critical Reynolds number (e.g., Migeon et al 2003;Lusseyran et al 2003). This type of instability leads to a flow across this surface, causing its destruction.…”

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confidence: 99%

The impact of instability appearance on the quadratic law for flow through porous media

Lucas¹,

Panfilov²,

Buès³

2007

Transp Porous Med

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In the present paper, we attempt to explain the macroscopic flow law evolution in porous media according to the Reynolds number. A crenellated channel, considered as an element of such a medium, is used to perform numerical simulations in stationary and non-stationary cases. In the case of non-stationary laminar flows, we point out flow instabilities occurring in the channel at high Reynolds numbers and we focus on their influence on the macroscopic law. We qualitatively prove that they generate an additional quadratic contribution to Forchheimer's law. We use two methods to study this contribution: first, a periodic disturbance, for which the instabilities appearing at the beginning of disturbance become regular oscillations; then a pulse disturbance of the entry velocity field which enables us to link the additional quadratic contribution to the existence of an accumulation of fluid at low velocity in the channel.

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Three-dimensionality development inside standard parallelepipedic lid-driven cavities at Re=1000

Cited by 24 publications

References 22 publications

Numerical study of flow and thermal behaviour of lid-driven flows in cavities of small aspect ratios

Numerical study of flow and thermal behaviour of lid-driven flows in cavities of small aspect ratios

Numerical Analysis of Natural Convection inside Cubical Cavities Exposed to Diverse Boundary Conditions

The impact of instability appearance on the quadratic law for flow through porous media

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