Free convection from elliptic cylinders at small Grashof numbers

D’Alessio, S. J. D.; Finlay, L.A.; Pascal, J. P.

doi:10.1016/j.ijheatmasstransfer.2007.11.020

Cited by 9 publications

(4 citation statements)

References 30 publications

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“…This effect is similar to that concluded for the case of natural convection from elliptic tube placed in infinite medium (see Badr [32] and D'Alessio et al [33]). As the projected area of inner tube normal to the buoyancy driven vertical flow decreases the resistance to the flow decreases, resulting in an increase in the velocity of flow adjacent to the inner wall.…”

Section: Heating At Uniform Wall Temperature Uwtsupporting

confidence: 89%

Buoyancy driven flow within an inclined elliptic enclosure

Mahfouz

2011

International Journal of Thermal Sciences

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Section: Heating At Uniform Wall Temperature Uwtsupporting

confidence: 89%

Buoyancy driven flow within an inclined elliptic enclosure

Mahfouz

2011

International Journal of Thermal Sciences

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“…The higher opposed eccentricity has a significant increase in the convective heat transfer in blunt orientation (vertical eccentric, lateral eccentric). As well as the comparison among vertical opposed eccentric and lateral opposed eccentric for each test specimens in slender orientation gives the same tendency, as clear in figures (11,12,13) that the convective heat transfer for the lateral opposed eccentricity is greater than the convective heat transfer for the vertical opposed eccentricity by about 30% fro m concentric. The comparison among the maximu m opposed lateral opposed eccentricity (δ=0.75 ω) for three test specimens in blunt orientation, figure 14, shows that the convective heat transfer for test specimen No.…”

Section: Blunt Orientationsupporting

confidence: 64%

“…Referring to figures (11,12,13,14); the opposed lateral eccentricity results is increasing convective heat transfer. This is attributes to the heterogeneous temperature distribution on both outer surfaces of the inner elliptical cylinder and inner one of the outer one.…”

Section: Blunt Orientationmentioning

confidence: 99%

“…The reduction in the natural convection in the elliptic annulus decreases as the major axis rotates from ψ=0 o to ψ=90 o . Steady two-dimensional problem of laminar free convection from an inclined elliptic cylinder for small Grashof numbers was studied by Pascal [13]. The results demonstrate that the steady and limit ing unsteady flows are in good agreement near the cylinder surface while interesting departures occur in the far-field.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effect of Opposed Lateral and Vertical Eccentricity on Free Convection in an Elliptical Annulus Enclosure in Blunt and Slender Orientations

Eid¹,

Halim²,

Easa³

2013

Port-Said Engineering Research Journal

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This paper presents an investigation for the effect of opposed lateral and vertical eccentricity on free convection in an elliptical annulus enclosure in blunt and slender orientations. Three test specimens of elliptical cy linders having an equal radius ratio and an equal length were prepared for this purpose. The outer surface area of the inner elliptical cylinder is the same for each specimen as well as the area of the inn er surface of the outer elliptical cylinder for each specimen. Different elliptical rat ios of 0.662, 0.866 and 0.968 were investigated. The specimens were cut using the computed numerically controlled wire-cut machining. Experimental tests were done by maintaining constant heat flux on the inner cylinder and the outer one was exposed to approximately constant temperature of the closed laboratory. Both annuals ends of the annular elliptical cylinders were closed by cork to form the annular enclosure space. Th e experimental tests scanned the modified Rayleigh number (1.642×103 ≤ Ra* ≤3.849×106). The effects of the opposed vertical eccentricity, opposed lateral eccentricity on free convection for both blunt and slender orientation were investigated. Emp irical correlations were deduced within an acceptable uncertainty for the experimental results. Co mpatible and satisfactory to the conscience agreement was found in a co mparison among the results of present and previous works. In the vision of the comparison, it was found that; the convective heat transfer for the opposed vertical eccentricity is greater than the convective heat transfer for the lateral opposed eccentricity in slender orientation by about 40% fro m concentric. The convective heat transfer for the opp osed lateral eccentricity is greater than the convective heat transfer for the vertical opposed eccentricity in blunt orientation by about 30% fro m concentric. Slender orientation offers about 50% enhancement in free convection than the blunt situation for the same elliptical rat io. NOMENCLATURE Greek letters Unit Descripti on Symbols K Vo lu me coefficient of expansion,

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