Matches in SemOpenAlex for { <https://semopenalex.org/work/W4384034134> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W4384034134 abstract "An exact analytical solution is obtained for the dynamical system derived in Part 1 of this series (Moffatt & Kimura, J. Fluid Mech , vol. 861, 2019 a , pp. 930–967), which describes the approach of two initially circular vortices of finite but small cross-section symmetrically located on inclined planes. This exact solution, applicable in the inviscid limit, allows determination of the amplification $mathcal {A}_{omega }$ of the axial vorticity within the finite time $T$ during which the basic assumptions of the model continue to apply. It is first shown that, for arbitrarily prescribed $mathcal {A}_{omega }$ , it is possible to specify smooth initial conditions of finite energy such that, in the inviscid limit, this amplification is achieved within the time $T$ . When viscosity is included, an estimate is provided for the minimum vortex Reynolds number that is sufficient for the same result to hold. The predictions are broadly compatible with results from direct numerical simulations at moderate Reynolds numbers. Moreover, it is shown that one may come arbitrarily close to a finite-time singularity of the Navier–Stokes equation by appropriate choice of an initial, smooth, finite-energy velocity field; however, this approach to a singularity is ultimately thwarted through breach of the assumptions on which the dynamical system is based. Thus we make no claim here concerning realisation of a Navier–Stokes singularity. Moreover, we find that the conditions required to attain a large amplification $mathcal {A}_{omega }gg 1$ during the time $T$ are far beyond those that can be realised in either experiment or direct numerical simulation." @default.
- W4384034134 created "2023-07-13" @default.
- W4384034134 creator A5063919952 @default.
- W4384034134 creator A5066828735 @default.
- W4384034134 date "2023-07-12" @default.
- W4384034134 modified "2023-09-23" @default.
- W4384034134 title "Towards a finite-time singularity of the Navier–Stokes equations. Part 3. Maximal vorticity amplification" @default.
- W4384034134 cites W2093375916 @default.
- W4384034134 cites W2570442251 @default.
- W4384034134 cites W2791979373 @default.
- W4384034134 cites W2908131044 @default.
- W4384034134 cites W2934424104 @default.
- W4384034134 cites W2962868596 @default.
- W4384034134 cites W3004462680 @default.
- W4384034134 cites W3099117745 @default.
- W4384034134 cites W3106140646 @default.
- W4384034134 cites W3178281712 @default.
- W4384034134 cites W4239238725 @default.
- W4384034134 doi "https://doi.org/10.1017/jfm.2023.472" @default.
- W4384034134 hasPublicationYear "2023" @default.
- W4384034134 type Work @default.
- W4384034134 citedByCount "0" @default.
- W4384034134 crossrefType "journal-article" @default.
- W4384034134 hasAuthorship W4384034134A5063919952 @default.
- W4384034134 hasAuthorship W4384034134A5066828735 @default.
- W4384034134 hasBestOaLocation W43840341341 @default.
- W4384034134 hasConcept C121332964 @default.
- W4384034134 hasConcept C134306372 @default.
- W4384034134 hasConcept C140820882 @default.
- W4384034134 hasConcept C151201525 @default.
- W4384034134 hasConcept C16171025 @default.
- W4384034134 hasConcept C182748727 @default.
- W4384034134 hasConcept C196558001 @default.
- W4384034134 hasConcept C200114574 @default.
- W4384034134 hasConcept C2779557605 @default.
- W4384034134 hasConcept C2781278361 @default.
- W4384034134 hasConcept C33923547 @default.
- W4384034134 hasConcept C37914503 @default.
- W4384034134 hasConcept C57879066 @default.
- W4384034134 hasConcept C62520636 @default.
- W4384034134 hasConcept C74650414 @default.
- W4384034134 hasConcept C84655787 @default.
- W4384034134 hasConcept C86252789 @default.
- W4384034134 hasConceptScore W4384034134C121332964 @default.
- W4384034134 hasConceptScore W4384034134C134306372 @default.
- W4384034134 hasConceptScore W4384034134C140820882 @default.
- W4384034134 hasConceptScore W4384034134C151201525 @default.
- W4384034134 hasConceptScore W4384034134C16171025 @default.
- W4384034134 hasConceptScore W4384034134C182748727 @default.
- W4384034134 hasConceptScore W4384034134C196558001 @default.
- W4384034134 hasConceptScore W4384034134C200114574 @default.
- W4384034134 hasConceptScore W4384034134C2779557605 @default.
- W4384034134 hasConceptScore W4384034134C2781278361 @default.
- W4384034134 hasConceptScore W4384034134C33923547 @default.
- W4384034134 hasConceptScore W4384034134C37914503 @default.
- W4384034134 hasConceptScore W4384034134C57879066 @default.
- W4384034134 hasConceptScore W4384034134C62520636 @default.
- W4384034134 hasConceptScore W4384034134C74650414 @default.
- W4384034134 hasConceptScore W4384034134C84655787 @default.
- W4384034134 hasConceptScore W4384034134C86252789 @default.
- W4384034134 hasLocation W43840341341 @default.
- W4384034134 hasOpenAccess W4384034134 @default.
- W4384034134 hasPrimaryLocation W43840341341 @default.
- W4384034134 hasRelatedWork W1974226738 @default.
- W4384034134 hasRelatedWork W2091727284 @default.
- W4384034134 hasRelatedWork W2142810108 @default.
- W4384034134 hasRelatedWork W2310224570 @default.
- W4384034134 hasRelatedWork W2559482035 @default.
- W4384034134 hasRelatedWork W2897422080 @default.
- W4384034134 hasRelatedWork W3096346507 @default.
- W4384034134 hasRelatedWork W3098237517 @default.
- W4384034134 hasRelatedWork W4242347885 @default.
- W4384034134 hasRelatedWork W4288568672 @default.
- W4384034134 hasVolume "967" @default.
- W4384034134 isParatext "false" @default.
- W4384034134 isRetracted "false" @default.
- W4384034134 workType "article" @default.