dc.contributor.author | Tyvand, Peder A. | |
dc.contributor.author | Nøland, Jonas Kristiansen | |
dc.date.accessioned | 2021-11-24T11:24:23Z | |
dc.date.available | 2021-11-24T11:24:23Z | |
dc.date.created | 2021-11-23T13:06:03Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Physics of Fluids. 2021, 33 (114111), . | |
dc.identifier.issn | 1070-6631 | |
dc.identifier.uri | https://hdl.handle.net/11250/2831264 | |
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. | |
dc.language.iso | eng | |
dc.relation.uri | https://aip.scitation.org/doi/pdf/10.1063/5.0067546 | |
dc.title | Transient nonlinear Rayleigh-Bénard convection with single-mode initiation | |
dc.type | Peer reviewed | |
dc.type | Journal article | |
dc.description.version | acceptedVersion | |
dc.source.pagenumber | 17 | |
dc.source.volume | 33 | |
dc.source.journal | Physics of Fluids | |
dc.source.issue | 114111 | |
dc.identifier.doi | https://doi.org/10.1063/5.0067546 | |
dc.identifier.cristin | 1957772 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |