Convection in Porous Media 2012
DOI: 10.1007/978-1-4614-5541-7_6
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Internal Natural Convection: Heating from Below

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Cited by 2 publications
(3 citation statements)
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“…In 2-D convection in porous media, the scaling law between the Nusselt and Rayleigh numbers varies from Nu τ ∼ Ra 0.9 for 10 3 < Ra < 10 4 , to Nu τ ∼ Ra for the ultimate regime, i.e. Ra 10 5 (Doering & Constantin 1998;Otero et al 2004;Hewitt et al 2012;Nield & Bejan 2013;Pirozzoli et al 2021). Based on numerical simulations for 3-D porous media, Pirozzoli et al (2021) show that the ultimate regime is reached when Ra 10 6 .…”
Section: The Nusselt and Rayleigh Numbersmentioning
confidence: 99%
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“…In 2-D convection in porous media, the scaling law between the Nusselt and Rayleigh numbers varies from Nu τ ∼ Ra 0.9 for 10 3 < Ra < 10 4 , to Nu τ ∼ Ra for the ultimate regime, i.e. Ra 10 5 (Doering & Constantin 1998;Otero et al 2004;Hewitt et al 2012;Nield & Bejan 2013;Pirozzoli et al 2021). Based on numerical simulations for 3-D porous media, Pirozzoli et al (2021) show that the ultimate regime is reached when Ra 10 6 .…”
Section: The Nusselt and Rayleigh Numbersmentioning
confidence: 99%
“…The fundamentals of heat and energy transport in free three-dimensional flows (Ahlers, Funfschilling & Bodenschatz 2009a;Grossmann & Lohse 2011; and porous media (Doering & Constantin 1998;Hewitt, Neufeld & Lister 2012;Nield & Bejan 2013;) have been extensively investigated via the classic Rayleigh-Bénard convection (RBC) problem. However, in highly confined environments where fluids are not entirely free to develop three-dimensional convection, heat transport and its link with energy fluxes remain uncharacterised.…”
Section: Introductionmentioning
confidence: 99%
“…However, the materials manufactured by porous media are more effective to hasten the heat transfer process than the case of Newtonian clear fluid. The Rayleigh number R c appears in the former configuration at the critical value of R c ≈ 39 while in the latter one at R c ≈ 1707 [6,7].…”
Section: Introductionmentioning
confidence: 98%