Velocity-Vorticity Formulation for 2D Natural Convection in an Inclined Cavity by the DQ Method

Lo, D. C.; Liao, Timothy; Young, D. L.; Gou, M. H.

doi:10.1017/s1727719100001301

Cited by 6 publications

(3 citation statements)

References 16 publications

(13 reference statements)

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“…As for general formulations involving vorticity, people can refer to [16]. As for general formulations involving vorticity, people can refer to [16].…”

Section: ) CCVmentioning

confidence: 99%

Effects of Slip Boundary Conditions on Rayleigh-Bénard Convection

Kuo

Chen

2009

J. mech.

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This work studied the Rayleigh-Bénard convection under the first-order slip boundary conditions in both hydrodynamic and thermal fields. The variation principle was applied to find the critical Rayleigh number of instability. The exteneded relations of the critical Rayleigh number (R c ) and the wavenumber (a c ) under partially slip boundary conditions were derived. The numerical results showed that both R c and a c are decreasing with increasing the Knudsen number. The dependence of R c on the Knudsen number (K) shows that when K < 1(T 3 , the boundary can be considered as nonslip, while K > 10, it can be considered as free boundaries. The maximum change rate occurs when the Knudsen number is around 0.1, indicating that the system would be affected significantly in that range.

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“…As for general formulations involving vorticity, people can refer to [16]. As for general formulations involving vorticity, people can refer to [16].…”

Section: ) CCVmentioning

confidence: 99%

Effects of Slip Boundary Conditions on Rayleigh-Bénard Convection

Kuo

Chen

2009

J. mech.

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“…The fins are of different shapes and locations and fabricated as rigid or sometimes porous [16][17][18][19]. Enhancing the properties of the working fluids by means of (Ra) range is also considered [20][21][22][23]. In the recent years, the researchers depending on the fluid additives which is an effective idea.…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Analysis of the Thermal Behavior of Alumina-Water Nanofluid Inside Hexagonal and Octagonal Enclosed Domain

Ghoben¹,

Hussein²

2023

ARFMTS

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The current work focused on the study of the laminar and steady free convection of Aluminum Oxide / Water nanofluid inside cavities. Two different cavities have the same volume but different overall surface area and count of walls are studied. These cavities are heated differentially on the vertical square side walls which of identical area and dimensions for both cavities. The other vertical walls of these cavities have hexagonal and octagonal shapes. The first cavity has eight walls while the second has ten walls. The study accomplished for solid particles volume fraction and Rayleigh number ranges of (φ = 0.01, 0.03, 0.05) and (103 ≤ Ra ≤ 106). The study interested highly by the effect of the cavity geometry parameters including the lateral cross section, the height, the number of walls on the flow and heat transfer. Other flow parameters are recognized on the fluid flow and heat transfer fields like the nanoparticles volume fraction and the Rayleigh number. The results indicated that the surface area increase by means the additional walls has an observed effect on guiding the results. Where the octagonal cavity has better enhancement in heat transfer especially at (Ra=104 and 105). The percent increase in Nu over the hexagonal cavity is (0.6, 0.8, 0.7, 0.3) for the specified Ra range.

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“…Enhancing the properties of the working fluid via various Rayleigh numbers (Ra) has also been considered a viable technique [36][37][38][39]. In recent times, the introduction of fluid additives has been a common method for improving heat transfer performance [40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

A Comprehensive Numerical Analysis of Natural Convection in Nanofluids within Various Enclosure Geometries: A Review

Abbas,

Hussein

2023

IJHT

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This comprehensive review elucidates recent numerical and empirical investigations of laminar-scale, free convection heat transport within two and three-dimensional enclosures filled with nanofluids and hybrid nanofluids. A particular emphasis is placed on previously explored enclosure geometries, ranging from simplistic to complex regular shapes. It is identified that a research gap exists within three-dimensional numerical investigations of both simple and complex enclosures. The study reveals that the local peak of the Nusselt number on the surfaces of the cylinder and the enclosure manifests at the locations where the shortest distance is observed between the cylinder surface and the enclosure wall. At lower Rayleigh numbers (Ra), the heat transfer demonstrates a decreasing trend with increasing values of volume fraction for oxide nanofluids. Upon increasing Ra, total heat generation is noted to decrease for all volume fractions and all positions of the conductive baffle. The Bejan and average Nusselt numbers display an inverted relationship to each other for the same range of Rayleigh numbers and solid volume fractions. Interestingly, the average Bejan numbers augment and the entropy generations remain approximately constant at high Rayleigh numbers. The analysis further unveils that the heat transfer rate experiences an increase with higher values of solid volume fraction and Rayleigh numbers. The average Nusselt number shows an increasing trend with the rise of the Hartmann number. Additionally, the heat transfer rate witnesses an enhancement with the increased concentration of Carbon Nanotube (CNT) particles and Rayleigh numbers. This review underscores the need for future research to address the present gaps and to further our understanding of heat transfer dynamics in nanofluid-filled enclosures.

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Velocity-Vorticity Formulation for 2D Natural Convection in an Inclined Cavity by the DQ Method

Cited by 6 publications

References 16 publications

Effects of Slip Boundary Conditions on Rayleigh-Bénard Convection

Effects of Slip Boundary Conditions on Rayleigh-Bénard Convection

Three-Dimensional Analysis of the Thermal Behavior of Alumina-Water Nanofluid Inside Hexagonal and Octagonal Enclosed Domain

A Comprehensive Numerical Analysis of Natural Convection in Nanofluids within Various Enclosure Geometries: A Review

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