Matches in SemOpenAlex for { <https://semopenalex.org/work/W4315588712> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W4315588712 abstract "We report a numerical study of horizontal convection (HC) at Prandtl number $Pr = 1$, with both no-slip and free-slip boundary conditions. We obtain 2D and 3D solutions and determine the relation between the Rayleigh number $Ra$ and the Nusselt number $Nu$. In 2D we vary $Ra$ between $0$ and $10^{14}$. In the range $10^6 le Ra le 10^{10}$ the $Nu$-$Ra$ relation is $Nu sim Ra^{1/5}$. With $Ra$ greater than about $10^{11}$ we find a 2D regime with $Nu sim Ra^{1/4}$ over three decades, up to the highest 2D $Ra$. In 3D, with maximum $Ra = 10^{11.5}$, we find only $Nu sim Ra^{1/5}$. These results apply to both free slip and no slip boundary conditions. The $Nu sim Ra^{1/4}$ regime has a double boundary layer (BL): there is a thin BL with thickness $sim Ra^{-1/4}$ nested inside a thicker BL with thickness $sim Ra^{-1/5}$. The $Ra^{-1/4}$ BL thickness, which determines $Nu$, coincides with the Kolmogorov and Batchelor scales of HC. Numerical and theoretical results indicate that 3D HC is qualitatively and quantitatively similar to 2D HC. At the same $Ra$, the 3D $Nu$ exceeds the 2D $Nu$ by less than $20$%, i.e., there is very little 3D enhancement of heat transport. Boundary conditions are more important than dimensionality: the 2D free-slip solutions have larger $Nu$ than 3D no-slip solutions. Using the mechanical energy power integral of HC we show that the mean square vorticity of 3D HC is nearly equal to that of 2D HC at the same $Ra$. Thus vorticity amplification by strain-mediated vortex stretching does not operate in 3D HC." @default.
- W4315588712 created "2023-01-11" @default.
- W4315588712 creator A5016911746 @default.
- W4315588712 creator A5023610195 @default.
- W4315588712 creator A5076935999 @default.
- W4315588712 creator A5080785919 @default.
- W4315588712 date "2023-01-08" @default.
- W4315588712 modified "2023-09-24" @default.
- W4315588712 title "Nusselt number scaling in horizontal convection" @default.
- W4315588712 doi "https://doi.org/10.48550/arxiv.2301.03122" @default.
- W4315588712 hasPublicationYear "2023" @default.
- W4315588712 type Work @default.
- W4315588712 citedByCount "0" @default.
- W4315588712 crossrefType "posted-content" @default.
- W4315588712 hasAuthorship W4315588712A5016911746 @default.
- W4315588712 hasAuthorship W4315588712A5023610195 @default.
- W4315588712 hasAuthorship W4315588712A5076935999 @default.
- W4315588712 hasAuthorship W4315588712A5080785919 @default.
- W4315588712 hasBestOaLocation W43155887121 @default.
- W4315588712 hasConcept C106836276 @default.
- W4315588712 hasConcept C10899652 @default.
- W4315588712 hasConcept C111603439 @default.
- W4315588712 hasConcept C121332964 @default.
- W4315588712 hasConcept C130230704 @default.
- W4315588712 hasConcept C182310444 @default.
- W4315588712 hasConcept C182748727 @default.
- W4315588712 hasConcept C195268267 @default.
- W4315588712 hasConcept C196558001 @default.
- W4315588712 hasConcept C2524010 @default.
- W4315588712 hasConcept C33923547 @default.
- W4315588712 hasConcept C54791560 @default.
- W4315588712 hasConcept C62520636 @default.
- W4315588712 hasConcept C72687893 @default.
- W4315588712 hasConcept C97355855 @default.
- W4315588712 hasConceptScore W4315588712C106836276 @default.
- W4315588712 hasConceptScore W4315588712C10899652 @default.
- W4315588712 hasConceptScore W4315588712C111603439 @default.
- W4315588712 hasConceptScore W4315588712C121332964 @default.
- W4315588712 hasConceptScore W4315588712C130230704 @default.
- W4315588712 hasConceptScore W4315588712C182310444 @default.
- W4315588712 hasConceptScore W4315588712C182748727 @default.
- W4315588712 hasConceptScore W4315588712C195268267 @default.
- W4315588712 hasConceptScore W4315588712C196558001 @default.
- W4315588712 hasConceptScore W4315588712C2524010 @default.
- W4315588712 hasConceptScore W4315588712C33923547 @default.
- W4315588712 hasConceptScore W4315588712C54791560 @default.
- W4315588712 hasConceptScore W4315588712C62520636 @default.
- W4315588712 hasConceptScore W4315588712C72687893 @default.
- W4315588712 hasConceptScore W4315588712C97355855 @default.
- W4315588712 hasLocation W43155887121 @default.
- W4315588712 hasOpenAccess W4315588712 @default.
- W4315588712 hasPrimaryLocation W43155887121 @default.
- W4315588712 hasRelatedWork W1967292267 @default.
- W4315588712 hasRelatedWork W1969909600 @default.
- W4315588712 hasRelatedWork W2071774677 @default.
- W4315588712 hasRelatedWork W2226473052 @default.
- W4315588712 hasRelatedWork W2332502623 @default.
- W4315588712 hasRelatedWork W2642018713 @default.
- W4315588712 hasRelatedWork W2663581036 @default.
- W4315588712 hasRelatedWork W2768407570 @default.
- W4315588712 hasRelatedWork W3048898975 @default.
- W4315588712 hasRelatedWork W3104592345 @default.
- W4315588712 isParatext "false" @default.
- W4315588712 isRetracted "false" @default.
- W4315588712 workType "article" @default.