Matches in SemOpenAlex for { <https://semopenalex.org/work/W2948591617> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2948591617 abstract "We revisit the optimal heat transport problem for Rayleigh-B'enard convection in which a rigorous upper bound on the Nusselt number, $Nu$, is sought as a function of the Rayleigh number $Ra$. Concentrating on the 2-dimensional problem with stress-free boundary conditions, we impose the full heat equation as a constraint for the bound using a novel 2-dimensional background approach thereby complementing the `wall-to-wall' approach of Hassanzadeh etal ,(emph{J. Fluid Mech.} textbf{751}, 627-662, 2014). Imposing the same symmetry on the problem, we find correspondence with their result for $Ra leq Ra_c:=4468.8$ but, beyond that, the optimal fields complexify to produce a higher bound. This bound approaches that by a 1-dimensional background field as the length of computational domain $Lrightarrowinfty$. On lifting the imposed symmetry, the optimal 2-dimensional temperature background field reverts back to being 1-dimensional giving the best bound $Nule 0.055Ra^{1/2}$ compared to $Nu le 0.026Ra^{1/2}$ in the non-slip case. % We then show via an inductive bifurcation analysis that imposing the full time-averaged Boussinesq equations as constraints (by introducing 2-dimensional temperature {em and} velocity background fields) is also unable to lower this bound. This then exhausts the background approach for the 2-dimensional (and by extension 3-dimensional) Rayleigh-Benard problem with the bound remaining stubbornly $Ra^{1/2}$ while data seems more to scale like $Ra^{1/3}$ for large $Ra$. % Finally, we show that adding a velocity background field to the formulation of Wen etal, (emph{Phys. Rev. E.} textbf{92}, 043012, 2015), which is able to use an extra vorticity constraint due to the stress-free condition to lower the bound to $ Nu le O(Ra^{5/12})$, also fails to improve the bound." @default.
- W2948591617 created "2019-06-14" @default.
- W2948591617 creator A5020365567 @default.
- W2948591617 creator A5047528508 @default.
- W2948591617 date "2019-06-07" @default.
- W2948591617 modified "2023-09-27" @default.
- W2948591617 title "Exhausting the background approach for bounding the heat transport in Rayleigh-B'enard convection" @default.
- W2948591617 cites W1498521900 @default.
- W2948591617 cites W1526160613 @default.
- W2948591617 cites W1893260259 @default.
- W2948591617 cites W1974516202 @default.
- W2948591617 cites W1978772395 @default.
- W2948591617 cites W1987560418 @default.
- W2948591617 cites W1992124920 @default.
- W2948591617 cites W2005307381 @default.
- W2948591617 cites W2027475406 @default.
- W2948591617 cites W2041854556 @default.
- W2948591617 cites W2055257377 @default.
- W2948591617 cites W2060772602 @default.
- W2948591617 cites W2091761994 @default.
- W2948591617 cites W2101541362 @default.
- W2948591617 cites W2150331419 @default.
- W2948591617 cites W2169786183 @default.
- W2948591617 cites W2322441122 @default.
- W2948591617 cites W2566628181 @default.
- W2948591617 cites W2577581455 @default.
- W2948591617 cites W2773763803 @default.
- W2948591617 cites W2796211888 @default.
- W2948591617 cites W3098945396 @default.
- W2948591617 cites W3099684898 @default.
- W2948591617 cites W3100143645 @default.
- W2948591617 cites W3104314216 @default.
- W2948591617 doi "https://doi.org/10.48550/arxiv.1906.03376" @default.
- W2948591617 hasPublicationYear "2019" @default.
- W2948591617 type Work @default.
- W2948591617 sameAs 2948591617 @default.
- W2948591617 citedByCount "1" @default.
- W2948591617 countsByYear W29485916172020 @default.
- W2948591617 crossrefType "posted-content" @default.
- W2948591617 hasAuthorship W2948591617A5020365567 @default.
- W2948591617 hasAuthorship W2948591617A5047528508 @default.
- W2948591617 hasBestOaLocation W29485916171 @default.
- W2948591617 hasConcept C106836276 @default.
- W2948591617 hasConcept C10899652 @default.
- W2948591617 hasConcept C121332964 @default.
- W2948591617 hasConcept C130230704 @default.
- W2948591617 hasConcept C134306372 @default.
- W2948591617 hasConcept C154945302 @default.
- W2948591617 hasConcept C182310444 @default.
- W2948591617 hasConcept C182748727 @default.
- W2948591617 hasConcept C196558001 @default.
- W2948591617 hasConcept C33923547 @default.
- W2948591617 hasConcept C37914503 @default.
- W2948591617 hasConcept C41008148 @default.
- W2948591617 hasConcept C46244369 @default.
- W2948591617 hasConcept C54791560 @default.
- W2948591617 hasConcept C57879066 @default.
- W2948591617 hasConcept C62520636 @default.
- W2948591617 hasConcept C63584917 @default.
- W2948591617 hasConcept C77553402 @default.
- W2948591617 hasConceptScore W2948591617C106836276 @default.
- W2948591617 hasConceptScore W2948591617C10899652 @default.
- W2948591617 hasConceptScore W2948591617C121332964 @default.
- W2948591617 hasConceptScore W2948591617C130230704 @default.
- W2948591617 hasConceptScore W2948591617C134306372 @default.
- W2948591617 hasConceptScore W2948591617C154945302 @default.
- W2948591617 hasConceptScore W2948591617C182310444 @default.
- W2948591617 hasConceptScore W2948591617C182748727 @default.
- W2948591617 hasConceptScore W2948591617C196558001 @default.
- W2948591617 hasConceptScore W2948591617C33923547 @default.
- W2948591617 hasConceptScore W2948591617C37914503 @default.
- W2948591617 hasConceptScore W2948591617C41008148 @default.
- W2948591617 hasConceptScore W2948591617C46244369 @default.
- W2948591617 hasConceptScore W2948591617C54791560 @default.
- W2948591617 hasConceptScore W2948591617C57879066 @default.
- W2948591617 hasConceptScore W2948591617C62520636 @default.
- W2948591617 hasConceptScore W2948591617C63584917 @default.
- W2948591617 hasConceptScore W2948591617C77553402 @default.
- W2948591617 hasLocation W29485916171 @default.
- W2948591617 hasLocation W29485916172 @default.
- W2948591617 hasOpenAccess W2948591617 @default.
- W2948591617 hasPrimaryLocation W29485916171 @default.
- W2948591617 hasRelatedWork W1968157009 @default.
- W2948591617 hasRelatedWork W1985044805 @default.
- W2948591617 hasRelatedWork W2070547870 @default.
- W2948591617 hasRelatedWork W2083620643 @default.
- W2948591617 hasRelatedWork W2357400346 @default.
- W2948591617 hasRelatedWork W2768407570 @default.
- W2948591617 hasRelatedWork W3021653867 @default.
- W2948591617 hasRelatedWork W3206952220 @default.
- W2948591617 hasRelatedWork W4312642738 @default.
- W2948591617 hasRelatedWork W61018749 @default.
- W2948591617 isParatext "false" @default.
- W2948591617 isRetracted "false" @default.
- W2948591617 magId "2948591617" @default.
- W2948591617 workType "article" @default.