Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287164037> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W4287164037 abstract "Natural convection is ubiquitous throughout the physical sciences and engineering, yet many of its important properties remain elusive. To study convection in a novel context, we derive and solve a quasilinear form of the Rayleigh-B'enard problem by representing the perturbations in terms of marginally-stable eigenmodes. The amplitude of each eigenmode is determined by requiring that the background state maintains marginal stability. The background temperature profile evolves due to the advective flux of every marginally-stable eigenmode, as well as diffusion. To ensure marginal stability and to obtain the eigenfunctions at every timestep, we perform a one-dimensional eigenvalue solve on each of the allowable wavenumbers. The background temperature field evolves to an equilibrium state, where the advective flux from the marginally-stable eigenmodes and the diffusive flux sum to a constant. These marginally-stable thermal equilibria (MSTE) are exact solutions of the quasilinear equations. The mean temperature profile has thinner boundary layers and larger Nusselt numbers than thermally-equilibrated 2D and 3D simulations of the full nonlinear equations. We find the Nusselt number scales like $rm{Nu} simrm{Ra}^{1/3}$. When an MSTE is used as initial conditions for a 2D simulation, we find that Nu quickly equilibrates without the burst of turbulence often induced by purely conductive initial conditions, but we also find that the kinetic energy is too large and viscously attenuates on a long viscous time scale. This is due to the thin temperature boundary layers which diffuse heat very effectively, thereby requiring high-velocity advective flows to reach an equilibrium." @default.
- W4287164037 created "2022-07-25" @default.
- W4287164037 creator A5036278937 @default.
- W4287164037 creator A5061705869 @default.
- W4287164037 creator A5091677658 @default.
- W4287164037 date "2021-05-28" @default.
- W4287164037 modified "2023-09-26" @default.
- W4287164037 title "Marginally-Stable Thermal Equilibria of Rayleigh-B'enard Convection" @default.
- W4287164037 doi "https://doi.org/10.48550/arxiv.2105.13701" @default.
- W4287164037 hasPublicationYear "2021" @default.
- W4287164037 type Work @default.
- W4287164037 citedByCount "0" @default.
- W4287164037 crossrefType "posted-content" @default.
- W4287164037 hasAuthorship W4287164037A5036278937 @default.
- W4287164037 hasAuthorship W4287164037A5061705869 @default.
- W4287164037 hasAuthorship W4287164037A5091677658 @default.
- W4287164037 hasBestOaLocation W42871640371 @default.
- W4287164037 hasConcept C106836276 @default.
- W4287164037 hasConcept C10899652 @default.
- W4287164037 hasConcept C121130766 @default.
- W4287164037 hasConcept C121332964 @default.
- W4287164037 hasConcept C128803854 @default.
- W4287164037 hasConcept C130230704 @default.
- W4287164037 hasConcept C147789679 @default.
- W4287164037 hasConcept C151730666 @default.
- W4287164037 hasConcept C158693339 @default.
- W4287164037 hasConcept C159188206 @default.
- W4287164037 hasConcept C182310444 @default.
- W4287164037 hasConcept C182748727 @default.
- W4287164037 hasConcept C185592680 @default.
- W4287164037 hasConcept C196558001 @default.
- W4287164037 hasConcept C198394728 @default.
- W4287164037 hasConcept C2779343474 @default.
- W4287164037 hasConcept C32758168 @default.
- W4287164037 hasConcept C50517652 @default.
- W4287164037 hasConcept C5072599 @default.
- W4287164037 hasConcept C54791560 @default.
- W4287164037 hasConcept C57879066 @default.
- W4287164037 hasConcept C62520636 @default.
- W4287164037 hasConcept C8171440 @default.
- W4287164037 hasConcept C86803240 @default.
- W4287164037 hasConcept C97355855 @default.
- W4287164037 hasConceptScore W4287164037C106836276 @default.
- W4287164037 hasConceptScore W4287164037C10899652 @default.
- W4287164037 hasConceptScore W4287164037C121130766 @default.
- W4287164037 hasConceptScore W4287164037C121332964 @default.
- W4287164037 hasConceptScore W4287164037C128803854 @default.
- W4287164037 hasConceptScore W4287164037C130230704 @default.
- W4287164037 hasConceptScore W4287164037C147789679 @default.
- W4287164037 hasConceptScore W4287164037C151730666 @default.
- W4287164037 hasConceptScore W4287164037C158693339 @default.
- W4287164037 hasConceptScore W4287164037C159188206 @default.
- W4287164037 hasConceptScore W4287164037C182310444 @default.
- W4287164037 hasConceptScore W4287164037C182748727 @default.
- W4287164037 hasConceptScore W4287164037C185592680 @default.
- W4287164037 hasConceptScore W4287164037C196558001 @default.
- W4287164037 hasConceptScore W4287164037C198394728 @default.
- W4287164037 hasConceptScore W4287164037C2779343474 @default.
- W4287164037 hasConceptScore W4287164037C32758168 @default.
- W4287164037 hasConceptScore W4287164037C50517652 @default.
- W4287164037 hasConceptScore W4287164037C5072599 @default.
- W4287164037 hasConceptScore W4287164037C54791560 @default.
- W4287164037 hasConceptScore W4287164037C57879066 @default.
- W4287164037 hasConceptScore W4287164037C62520636 @default.
- W4287164037 hasConceptScore W4287164037C8171440 @default.
- W4287164037 hasConceptScore W4287164037C86803240 @default.
- W4287164037 hasConceptScore W4287164037C97355855 @default.
- W4287164037 hasLocation W42871640371 @default.
- W4287164037 hasOpenAccess W4287164037 @default.
- W4287164037 hasPrimaryLocation W42871640371 @default.
- W4287164037 hasRelatedWork W1967292267 @default.
- W4287164037 hasRelatedWork W1967848746 @default.
- W4287164037 hasRelatedWork W2020147272 @default.
- W4287164037 hasRelatedWork W2029482165 @default.
- W4287164037 hasRelatedWork W2563401114 @default.
- W4287164037 hasRelatedWork W3136061643 @default.
- W4287164037 hasRelatedWork W3136185442 @default.
- W4287164037 hasRelatedWork W4308469421 @default.
- W4287164037 hasRelatedWork W4308805020 @default.
- W4287164037 hasRelatedWork W9378957 @default.
- W4287164037 isParatext "false" @default.
- W4287164037 isRetracted "false" @default.
- W4287164037 workType "article" @default.