Three-dimensional thermocapillary–buoyancy flow of silicone oil in a differentially heated annular pool

Peng, Lan; Li, You Rong; Shi, Wan-Yuan; Imaishi, Nobuyuki

doi:10.1016/j.ijheatmasstransfer.2006.08.015

Cited by 82 publications

(43 citation statements)

References 32 publications

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“…In recent years Shi, Peng and several collaborators have studied numerically an annular geometry, [23,[25][26][27], with a method similar to that used in [12]. The main differences between these works and the present article is that in those contributions the effects of the Biot number were not considered, and that the lateral walls of the annular pool were conductive.…”

Section: Aspect Ratio γ = δ/Dmentioning

confidence: 99%

Bifurcation Diversity in an Annular Pool Heated from Below: Prandtl and Biot Numbers Effects

Torregrosa

Hoyas

Pérez-Quiles

et al. 2013

Commun. comput. phys.

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Abstract. In this article the instabilities appearing in a liquid layer are studied numerically by means of the linear stability method. The fluid is confined in an annular pool and is heated from below with a linear decreasing temperature profile from the inner to the outer wall. The top surface is open to the atmosphere and both lateral walls are adiabatic. Using the Rayleigh number as the only control parameter, many kind of bifurcations appear at moderately low Prandtl numbers, and depending on the Biot number. Several regions on the Prandtl-Biot plane are identified, their boundaries being formed from competing solutions at codimension-two bifurcation points.

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Section: Aspect Ratio γ = δ/Dmentioning

confidence: 99%

Bifurcation Diversity in an Annular Pool Heated from Below: Prandtl and Biot Numbers Effects

Torregrosa

Hoyas

Pérez-Quiles

et al. 2013

Commun. comput. phys.

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“…The importance of heat-related parameters on the development of instabilities was analyzed in [15,14]. More recently, the problem was also studied in an annular geometry [25,27,28] but neglecting the effect of Biot number and considering conduction through the lateral walls of the cylinder. Hoyas et al [16] analyzed the effect of Biot number on the different bifurcations for the case of Pr ¼ 1.…”

Section: Introductionmentioning

confidence: 99%

Analysis of bifurcations in a Bénard–Marangoni problem: Gravitational effects

Hoyas

Fajardo

Gil

et al. 2014

International Journal of Heat and Mass Transfer

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Abstract:This article studies the linear stability of a thermoconvective problem in an annular domain for different Bond (capillarity or buoyancy effects) and Biot (heat transfer) numbers for two set of Prandtl numbers (viscosity effects). The flow is heated from below, with a linear decreasing horizontal temperature profile from the inner to the outer wall. The top surface of the domain is open to the atmosphere and the two lateral walls are adiabatic. Different kind of competing solutions appear on localized zones of the Bond-Biot plane. The boundaries of these zones are made up of codimension two points. A co-dimension four point has been found for the first time. The main result found in this work is that in the range of low Prandtl number studied and in low-gravity conditions, capillarity forces control the instabilities of the flow, independently of the Prandtl number.

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“…They also discovered that the LWI had a longer nondimensional wavelength, even one order of magnitude larger than the SWI [7], and two new convective structures in the case of larger dynamic Bond number [8]. Shi et al [9] did a 3-D numerical simulation of an 1 mm deep model with finite volume method and Li et al [10][11][12] did a theoretic calculation on double layers thermocapillary convection using approximate algorithm and got temperature configuration as well as velocity distribution in the main flow region. They also indicated that the buoyancy force destabilizes the thermocapillary convection in the annular pools with depth ranging from 3 to 10 mm with the melt Pr = 0.011 [13].…”

Section: Introductionmentioning

confidence: 99%

An experimental research on surface oscillation of buoyant-thermocapillary convection in open cylindrical annuli

Zhang

Kang

2014

Acta Mech Sin

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An experiment is carried out on the surface oscillation of buoyant-thermocapillary convection in an open cylindrical annulus. When the radial temperature difference ΔT reaches a critical value ΔT c , a regular oscillation appears and soon disappears on the open surface, which varies when the liquid layer's thickness h and temperature difference ΔT are varied. With growth of ΔT , dominant frequency of the visible oscillation will grow too but is found within certain frequencies. Driving forces, buoyance and thermocapillarity, are responsible for this phenomanon and the "balance" point is considered to exist when h is between 4.5-5.0 mm. Surface oscillation region is also found restricted within a narrow gap when Bo is smaller than 3.7.Keywords Cylindrical annulus · Buoyant-thermocapillary convection · Surface oscillation · Critical temperature difference Inner radius of the cylindrical annuli, mm

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Three-dimensional thermocapillary–buoyancy flow of silicone oil in a differentially heated annular pool

Cited by 82 publications

References 32 publications

Bifurcation Diversity in an Annular Pool Heated from Below: Prandtl and Biot Numbers Effects

Bifurcation Diversity in an Annular Pool Heated from Below: Prandtl and Biot Numbers Effects

Analysis of bifurcations in a Bénard–Marangoni problem: Gravitational effects

An experimental research on surface oscillation of buoyant-thermocapillary convection in open cylindrical annuli

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