2016
DOI: 10.1007/978-3-319-23941-5
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Internally Heated Convection and Rayleigh-Bénard Convection

Abstract: PrefaceThe purpose of this SpringerBrief is to review heat transfer in layers of convective fluid. Six different configurations are considered-three that are versions of Rayleigh-Bénard (RB) convection, which is driven by differential heating at the boundaries, and three that are driven by uniform internal heating. The essential features of all six models are derived mathematically. The experimental literature is reviewed in depth for the models of internally heated (IH) convection, which are much less studied… Show more

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Cited by 77 publications
(93 citation statements)
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References 142 publications
(324 reference statements)
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“…In the only data reported for T , which are from 2D DNS, T decays proportionally to R −1/5 (Goluskin & Spiegel 2012). Other studies report similar R-dependence for T max (Goluskin 2015). Questions motivating our present study include: how different are T and T max , will a novel scaling of T be found at larger R, and how does T depend on Pr?…”
Section: Integral Quantitiessupporting
confidence: 49%
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“…In the only data reported for T , which are from 2D DNS, T decays proportionally to R −1/5 (Goluskin & Spiegel 2012). Other studies report similar R-dependence for T max (Goluskin 2015). Questions motivating our present study include: how different are T and T max , will a novel scaling of T be found at larger R, and how does T depend on Pr?…”
Section: Integral Quantitiessupporting
confidence: 49%
“…These boundary conditions are especially relevant to systems that are cooled above and below, such as liquid metal batteries (Shen & Zikanov 2015) or overreactions in nuclear reactor accidents (Asfia & Dhir 1996;Nourgaliev, Dinh & Sehgal 1997;Grötzbach & Wörner 1999). IH convection in this configuration and others is reviewed by Goluskin (2015).…”
Section: Introductionmentioning
confidence: 98%
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“…Internal heating is one of the most widely employed mechanisms to characterize this phenomenon. Many systems, such as the Earth's mantle, radiating atmospheres, the cores of large main-sequence stars, and nearly any engineered system where chemical and nuclear reactions take place in a fluid environment have internal sources or sinks of buoyancy [18]. The presence of an internal heat source or sink can give rise to a situation where one part of a layer is naturally convecting while the other remains stable, and hence allows penetrative convection to occur.…”
Section: Introductionmentioning
confidence: 99%
“…Linear stability analysis has been used to show that reducing ℎ ⁄ promotes the destabilization of the layer, the critical Rayleigh number is slightly reduced [6]. Natural convection with homogeneous internal sources has been widely studied [7]. Recently, Goluskin & van der Poel [8] studied with DNS the case of uniform sources.…”
Section: Introductionmentioning
confidence: 99%