Numerical computation of double-diffusive natural convective flow within an elliptic-shape enclosure

Bouras, Abdelkarim; Djezzar, Mahfoud; Naji, Hassane; Ghernoug, C.

doi:10.1016/j.icheatmasstransfer.2014.08.002

Cited by 21 publications

(10 citation statements)

References 25 publications

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“…Shi and Lu 15,16 studied the influence of the buoyancy ratio on the evolution of the temperature and solute field in the vertical cylindrical cavity with radial temperature gradients and axial solutes. Bouras et al 17,18 examined double‐diffusive natural convection within an annular area in two elliptical cylinders with confocal horizontal axes. They employed thermal Rayleigh numbers up to 5 × 10 5 .…”

Section: Introductionmentioning

confidence: 99%

Numerical research of double‐diffusive natural convection in elliptical cylinders: Effect of thermal Rayleigh number

et al. 2020

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This paper is the first part of a two-part study, and it presented numerical research of double-diffusive natural convection within an annulus area, situated in two horizontal confocal elliptic solids charged by a Newtonian fluid. The elliptical coordinates were used to transform the physical domain into a rectangular one. To resolve the governing equations and the boundary layer conditions, a calculator code based on the finite volume approach was developed. The details of the influences of thermal Rayleigh number on heat and mass transfer were investigated. Results obtained were compared with those existing in other reasearch works. K E Y W O R D S double-diffusive, elliptical cylinders, natural convection, Rayleigh number, stream function formulation

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Section: Introductionmentioning

confidence: 99%

Numerical research of double‐diffusive natural convection in elliptical cylinders: Effect of thermal Rayleigh number

et al. 2020

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“…Cheng and Chao [7] investigated the buoyancy-driven flow in the annulus between two horizontal eccentric elliptical cylinders. Bouras et al [8]; [9] investigated double diffusive natural convection in an annular space between two elliptical cylinders of confocal horizontal axes. They used the thermal Rayleigh numbers up to 5x10 5 .…”

Section: Introductionmentioning

confidence: 99%

Effect of Rayleigh Number on Internal Eccentricity in a Heated Horizontal Elliptical Cylinder to its Coaxial Square Enclosure

Bouras¹,

Taloub²,

Driss

2020

International Journal of Applied Mechanics and Engineering

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This paper deals with numerical investigation of a natural convective flow in a horizontal annular space between a heated square inner cylinder and a cold elliptical outer cylinder with a Newtonian fluid. Uniform temperatures are imposed along walls of the enclosure. The governing equations of the problem were solved numerically by the commercial code Fluent, based on the finite volume method and the Boussinesq approximation. The effects of Geometry Ratio GR and Rayleigh numbers on fluid flow and heat transfer performance are investigated. The Rayleigh number is varied from 103 to 106. Throughout the study the relevant results are presented in terms of isotherms, and streamlines. From the results, we found that the increase in the Geometry Ratio B leads to an increase of the heat transfer coefficient. The heat transfer rate in the annulus is translated in terms of the average Nusselt numbers along the enclosure’s sides. Tecplot 7 program was used to plot the curves which cleared these relations and isotherms and streamlines which illustrate the behavior of air through the channel and its variation with other parameters. The results for the streamlines, isotherms, local and average Nusselt numbers average Nusselt numbers are compared with previous works and show good agreement.

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“…The effect of inclination, relative eccentricity values and Grashof number on the results obtained was examined. Bouras et al [14][15] investigated double diffusive natural convection in an annular space between two elliptical cylinders of confocal horizontal axes. They used thermal Rayleigh numbers up to 5x105.…”

Section: Introductionmentioning

confidence: 99%

Natural convective heat transfer from a heated horizontal elliptical cylinder to its coaxial square enclosure

Bouras¹,

Taloub²,

Djezzar³

et al. 2018

MMEP

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A numerical study of the natural convection of laminar heat transfer in the stationary state in a horizontal annular space between a heated square inner cylinder and a cold elliptical outer cylinder was investigated. This annular space is traversed by a Newtonian and incompressible fluid. The Prandtl number is set to 0.71 (air case) for different Rayleigh numbers. The governing equations of the problem were solved numerically by the commercial code Fluent, based on the finite volume method and the Boussinesq approximation. The inner and outer surfaces are isothermal. The study was performed for Rayleigh numbers ranging from 1.3 × 10 3 to 5.5× 10 5. Particularly, we have studied the effects of different thermal Rayleigh numbers on natural phenomenon convection. The results were presented in the form of isotherms, streamlines, and local and average Nusselt numbers. The purpose of this study is to observe the influence of the thermal Rayleigh number on the structure of the flow and distribution of the temperature.

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Numerical computation of double-diffusive natural convective flow within an elliptic-shape enclosure

Cited by 21 publications

References 25 publications

Numerical research of double‐diffusive natural convection in elliptical cylinders: Effect of thermal Rayleigh number

Numerical research of double‐diffusive natural convection in elliptical cylinders: Effect of thermal Rayleigh number

Effect of Rayleigh Number on Internal Eccentricity in a Heated Horizontal Elliptical Cylinder to its Coaxial Square Enclosure

Natural convective heat transfer from a heated horizontal elliptical cylinder to its coaxial square enclosure

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