dc.contributor.author
Rodal, Marie
dc.contributor.author
Margerit, Daniel
dc.contributor.author
Klein, Rupert
dc.date.accessioned
2024-09-26T13:55:23Z
dc.date.available
2024-09-26T13:55:23Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/45045
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-44756
dc.description.abstract
A model for the motion of slender vortex filaments is extended to include the effect of gravity. The model, initially introduced by Callegari and Ting [“Motion of a curved vortex filament with decaying vortical core and axial velocity,” SIAM J. Appl. Math. 35, 148–175 (1978)], is based on a matched asymptotic expansion in which the outer solution, given by the Biot–Savart law, is matched with the inner solution derived from the Navier–Stokes equations. Building on recent work by Harikrishnan et al. [“On the motion of hairpin filaments in the atmospheric boundary layer,” Phys. Fluids 35, 076603 (2023)], the Boussinesq approximation is applied such that the density variations only enter in the gravity term. However, unlike Harikrishnan et al. [“On the motion of hairpin filaments in the atmospheric boundary layer,” Phys. Fluids 35, 076603 (2023)], the density variation enters at a lower order in the asymptotic expansion and, thus, has a more significant impact on the self-induced velocity of the vortex filament. In this regime, which corresponds to the regime studied by Chang and Smith [“The motion of a buoyant vortex filament,” J. Fluid Mech. 857, R1 (2018)], the effect of gravity is given by an alteration of the core constant, which couples the motion of the filament to the motion within the vortical core, in addition to a change in the compatibility conditions (evolution equations), which determine the leading order azimuthal and tangential velocity fields in the vortex core. The results are used to explain certain properties of buoyant vortex rings, as well as qualitatively explore the impact of gravity on tornado-type atmospheric vortices.
en
dc.format.extent
17 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
slender vortex filaments
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::530 Physik::530 Physik
dc.title
Slender vortex filaments in the Boussinesq approximation
dc.type
Wissenschaftlicher Artikel
dc.identifier.sepid
100804
dcterms.bibliographicCitation.articlenumber
056604
dcterms.bibliographicCitation.doi
10.1063/5.0205028
dcterms.bibliographicCitation.journaltitle
Physics of Fluids
dcterms.bibliographicCitation.number
5
dcterms.bibliographicCitation.originalpublishername
American Institute of Physics (AIP)
dcterms.bibliographicCitation.originalpublisherplace
Melville, NY
dcterms.bibliographicCitation.volume
36
dcterms.bibliographicCitation.url
https://doi.org/10.1063/5.0205028
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik

refubium.note.author
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.
de
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1089-7666