Oscillatory instabilities of two-layer Rayleigh–Marangoni–Benard convection

Liu, Qiusheng; Zhou, Baowen; Liu, Rong; Nguyen-Thi, Henri; Billia, B.

doi:10.1016/j.actaastro.2006.02.042

Cited by 12 publications

(9 citation statements)

References 18 publications

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“…As Rayleigh number increases, the fluid convection become stronger and the isotherms are more distorted. Furthermore, in each case for Ra h <2×10 5 , there are two pairs of counter-rotating convection rolls both in lower layer and in upper layer, while with increase of Ra, number of pairs of counter-rotating convection rolls increases both in two layers and this directly leaves a major impact on isotherms . This can be explained by the following fact.…”

Section: A Effect Of Rayleigh Numbermentioning

confidence: 99%

“…Fig. 3 shows the isotherms and streamlines for Ra h =2×10 4 , 5×10 4 , 10 5 and 2×10 5 . As it can be seen in this figure, each layer is occupied by clockwise and counter Clockwise circulating cells and the circulating in the upper layer is little stronger than in the lower layer.…”

Section: A Effect Of Rayleigh Numbermentioning

confidence: 99%

“…The Capillary number, Prandtl number ratio and ε 1 are held fixed at 4×10 -4 , 1.0 and 0.1, respectively. The Rayleigh number is varied from 2×10 4 to 2×10 5 . Fig.…”

Section: A Effect Of Rayleigh Numbermentioning

confidence: 99%

“…They analysed the convective instabilities in the system of Silicon Oil and Fluorinert liquids. The Rayleigh-Marangoni-Benard convective instability in the two-layer systems such as Silicone oil/Fluorinert and Silicone oil/water liquids were studied by Liu et al [5].…”

Section: Introductionmentioning

confidence: 99%

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Simulation of Two-Phase Rayleigh-Benard Problem Using Lattice Boltzmann Method

Haghshenas¹,

Rahimian²

2015

International Advanced Research Journal in Science, Engineering

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Abstract:In the present work, two-phase Rayleigh-Benard problem is simulated by lattice Boltzmann method. Two horizontal layers of immiscible fluid are confined in a rectangular cavity. The vertical walls of the cavity are insulated while the horizontal walls are maintained at different constant temperatures. Two-phase lattice Boltzmann method is used to model hydrodynamic field and a passive scalar approach is implemented to model the thermal field. The viscous heat dissipation and compression work done by pressure are neglected. The present model is validated with the single-phase Rayleigh-Benard problem and good agreement is observed. The applicability of this new lattice Boltzmann model for simulating thermal two-phase problems is the main objective of this study. Furthermore, a comprehensive parametric study of the problem is carried out for wide range of different non-dimensional parameters. It is found that with increase of Rayleigh number, the fluid motion becomes stronger and the isotherms are more distorted. Also with decrease of the ratio of Prandtl number of upper fluid to lower fluid, conduction dominates in the upper layer. It is concluded that this new thermal lattice Boltzmann model has a great capability to model thermal twophase problems.

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Section: A Effect Of Rayleigh Numbermentioning

confidence: 99%

Section: A Effect Of Rayleigh Numbermentioning

confidence: 99%

“…The Capillary number, Prandtl number ratio and ε 1 are held fixed at 4×10 -4 , 1.0 and 0.1, respectively. The Rayleigh number is varied from 2×10 4 to 2×10 5 . Fig.…”

Section: A Effect Of Rayleigh Numbermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Simulation of Two-Phase Rayleigh-Benard Problem Using Lattice Boltzmann Method

Haghshenas¹,

Rahimian²

2015

International Advanced Research Journal in Science, Engineering

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“…Liu et al [16] studied Rayleigh-Marangoni-Bénard convective instability in a two layer systems. A linear instability analysis and nonlinear instability analysis is performed (2D numerical simulation) to study the influence of thermocapillary force on the convective instability.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Study of Antisymmetric-Symmetric Mode of RB Convection through on Time Evolution

Benarab¹,

Tariq²

2017

World Congress on Momentum, Heat and Mass Transfer

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-The purpose of this work is to study a specific case of Rayleigh-Benard convection. Convection undergoes transition timedependent regime on a sufficiently high Rayleigh Number. The critical Rayleigh value is calculated where antisymmetric-symmetric mode switches. This mode exhibits an odd number of rolls along x and an even number of cells in the perpendicular direction. It is clearly shown that this oscillatory convection is perfectly physical and periodic. Random probes are chosen to follow the timeevolution of the different parameters of the fluid such as dimensionless horizontal and vertical velocities, along with that temperature evolution is calculated too. These parameters are compared and discussed. Streamlines and Isotherm lines are presented at different times for one cycle of oscillation and are presented to show and understand the perfect mirror symmetry which is an important parameter of the studied case. The variation in Nusselt number is tracked from the hot and cold sides during time evolution. Nusselt Number curves show the intervals between the hot and cold flow in the same interval of values. The results shown in this paper are in good agreement with the precedent works. The study is done in a square cavity for a Rayleigh number varying between 10 5 and 10 6 , the Prandtl number equal to 0.71 and a 10 K difference in the temperature. Governing equations of the phenomenon are numerically solved using FINITE VOLUME METHOD and the pressure-velocity coupling is matched by SIMPLER Algorithm.

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Thermal Convection in an Annular Two-Layer System Under Combined Action of Buoyancy and Thermocapillary Forces

Zhang

Peng

et al. 2010

J Supercond Nov Magn

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Oscillatory instabilities of two-layer Rayleigh–Marangoni–Benard convection

Cited by 12 publications

References 18 publications

Simulation of Two-Phase Rayleigh-Benard Problem Using Lattice Boltzmann Method

Simulation of Two-Phase Rayleigh-Benard Problem Using Lattice Boltzmann Method

A Numerical Study of Antisymmetric-Symmetric Mode of RB Convection through on Time Evolution

Thermal Convection in an Annular Two-Layer System Under Combined Action of Buoyancy and Thermocapillary Forces

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