Étude numérique du modèle de Boussinesq de convection naturelle laminaire axisymétrique permanente dans un espace annulaire compris entre deux sphères

Tazi-Charki, Mohammed-Norddine; Daoudi, Saad; Palec, Georges Le; Daguenet, M.

doi:10.1016/s0035-3159(97)80685-x

Cited by 6 publications

(2 citation statements)

References 27 publications

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“…Table 3 shows the average Nusselt number computed for various Rayleigh numbers in comparison with those authors. Our results are compared with those published by Tazi, et al [15] with an axisymmetric steady laminar thermal natural convection in a spherical annulus and Sow, et al [8] a transient laminar convection between two vertically eccentric spheres. We discovered excellent agreement with them.…”

Section: Validationmentioning

confidence: 54%

Unsteady Natural Convection between Two Eccentric Hemispheres

Koita¹,

Sow²,

Thiam³

et al. 2021

OJAppS

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Natural convection heat transfer in open or closed cavities takes place in different engineering areas. The hemispherical cavity is a part of basic geometries although it is not widely studied. The present paper reports the numerical study of natural convection in a closed hemispherical annulus delimited by two vertically eccentric hemispheres filled with Newtonian fluid (air in this case with Pr = 0.7) is conducted. The inner hemisphere is heated by a heat flux of constant density and the outer one is maintained isothermal. Based on the Boussinesq assumptions, the governing equations are numerically studied using unsteady natural convection formulated with vorticity and stream-function variables. These equations are written by using bispherical coordinates system and solved by using a finite difference method. The effect of the control parameters such as the Rayleigh number ( 3 6 10 10 Ra ≤ ≤ ) or the eccentricity (e = ±0.2, ±0.5, 0) in the dynamic and thermal behaviours of the fluid is investigated.

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Section: Validationmentioning

confidence: 54%

Unsteady Natural Convection between Two Eccentric Hemispheres

Koita¹,

Sow²,

Thiam³

et al. 2021

OJAppS

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“…The presented temperature and velocity fields highlight the influence of some physical parameters, such as the energy source on the flow structure and heat exchange. The dynamic and thermal steady state phenomena have been determined for whole concentric spheres, and heat transfer was quantified via Nusselt-Rayleigh type correlations in several studies, such as [16][17][18][19][20]. The recent work [21] examines the case of an open air-filled enclosure consisting of two differentially heated semi-hemispheres, applied to the building field as is the case in [22].…”

Section: Introductionmentioning

confidence: 99%

Free Convective Heat Transfer in a Closed Gap between Concentric Semi-Hemispheres

et al. 2021

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Free convective heat transfer in the closed gap between concentric semi-hemispheres is quantified by means of a numerical approach based on the volume control method using the SIMPLE algorithm. The average Nusselt number is determined for several configurations obtained by varying the cavity’s aspect ratio between 0.15 and 1.5, while the Rayleigh number varies within the 5.33 × 103–4.50 × 108 range. The results show that the correlations available in the literature dealing with concentric whole spheres cannot be used for the configuration treated here. The new correlation between the Nusselt and Rayleigh numbers proposed in this work can be applied in various engineering sectors, such as in the electronic packaging considered in this present work, buildings, and architecture.

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Numerical study of the natural convection of Boussinesq equations in parallelepipedal cavities with isothermal walls and heated from two sides: influence of walls conditions

Chmaissem¹,

Daguenet²

1999

Energy Conversion and Management

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Étude numérique du modèle de Boussinesq de convection naturelle laminaire axisymétrique permanente dans un espace annulaire compris entre deux sphères

Cited by 6 publications

References 27 publications

Unsteady Natural Convection between Two Eccentric Hemispheres

Unsteady Natural Convection between Two Eccentric Hemispheres

Free Convective Heat Transfer in a Closed Gap between Concentric Semi-Hemispheres

Numerical study of the natural convection of Boussinesq equations in parallelepipedal cavities with isothermal walls and heated from two sides: influence of walls conditions

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