dc.contributor.author | Tyvand, Peder A. | |
dc.contributor.author | Nøland, Jonas Kristiansen | |
dc.date.accessioned | 2022-02-15T09:41:38Z | |
dc.date.available | 2022-02-15T09:41:38Z | |
dc.date.created | 2021-11-23T13:06:03Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Physics of Fluids. 2021, 33 (114111), . | en_US |
dc.identifier.issn | 1070-6631 | |
dc.identifier.uri | https://hdl.handle.net/11250/2979018 | |
dc.description.abstract | Transient nonlinear convection in a finite Prandtl number fluid heated uniformly from below is studied analytically and numerically. We consider the simple geometry of a square cavity with normal-mode compatible boundary conditions. By design, only the marginal state of convection onset contributes to the initial condition for the two-dimensional supercritical convection. The thermal amplitude and the flow amplitude are taken as two independent initial conditions. There are two ways of initiation: (i) soft start with a very small initial amplitude, leading to early exponential growth. (ii) Kick-started transient convection with relatively large initial amplitudes, by which we perform a small-time expansion for benchmarking. Seemingly complicated transient flow occurs with a kick-start where the initial spin and the initial buoyancy torque are in conflict. However, the intricate spiraling flow decays after a couple of reversals of flow directions, and a steady convection settles. This is due to the strict antisymmetry of the temperature perturbation around the mid-point of the cavity, in combination with the symmetry of the flow field. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | AIP Publishing | en_US |
dc.relation.uri | https://aip.scitation.org/doi/pdf/10.1063/5.0067546 | |
dc.title | Transient nonlinear Rayleigh-Bénard convection with single-mode initiation | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.rights.holder | This is the authors’ accepted and refereed manuscript to the article. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. | en_US |
dc.source.pagenumber | 17 | en_US |
dc.source.volume | 33 | en_US |
dc.source.journal | Physics of Fluids | en_US |
dc.source.issue | 114111 | en_US |
dc.identifier.doi | https://doi.org/10.1063/5.0067546 | |
dc.identifier.cristin | 1957772 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |