FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2016174536> ?p ?o ?g. }

• W2016174536 abstract "For an isentropic (thus compressible) flow, fluid trajectories are considered as orbits of a family of one parameter, smooth, orientation-preserving, and nonsingular diffeomorphisms on a compact and smooth-boundary domain in the Euclidian 3-space which necessarily preserve a finite measure, later interpreted as the fluid mass. Under such diffeomorphisms the Biot-Savart helicity of the pushforward of a divergence-free and tangent to the boundary vector field is proved to be conserved and since these circumstances present an isentropic flow, the conservation of the “Biot-Savart helicity” is established for such flows. On the other hand, the well known helicity conservation in ideal flows which here we call it “physical helicity” is found to be an independent constant with respect to the Biot-Savart helicity. The difference between these two helicities reflects some topological features of the domain as well as the velocity and vorticity fields which is discussed and is shown for simply connected domains the two helicities coincide. The energy variation of the vorticity field is shown to be formally the same as for the incompressible flow obtained before. For fluid domains consisting of several disjoint solid tori, at each time, the harmonic knot subspace of smooth vector fields on the fluid domain is found to have two independent base sets with a special type of orthogonality between these two bases by which a topological description of the vortex and velocity fields depending on the helicity difference is achieved since this difference is shown to depend only on the harmonic knot parts of velocity, vorticity, and its Biot-Savart vector field. For an ideal magnetohydrodynamics (MHD) flow three independent constant helicities are reviewed while the helicity of magnetic potential is generalized for non-simply connected domains by inserting a special harmonic knot field in the dynamics of the magnetic potential. It is proved that the harmonic knot part of the vorticity in hydrodynamics and the magnetic field in MHD is presented by constant coefficients (fluxes) when expanded in terms of one of the time dependent base functions." @default.
• W2016174536 created "2016-06-24" @default.
• W2016174536 creator A5018702132 @default.
• W2016174536 creator A5069733276 @default.
• W2016174536 date "2014-07-18" @default.
• W2016174536 modified "2023-09-27" @default.
• W2016174536 title "Biot-Savart helicity versus physical helicity: A topological description of ideal flows" @default.
• W2016174536 cites W1985863878 @default.
• W2016174536 cites W1988169156 @default.
• W2016174536 cites W2009428292 @default.
• W2016174536 cites W2012393256 @default.
• W2016174536 cites W2019872758 @default.
• W2016174536 cites W2022173180 @default.
• W2016174536 cites W2023054953 @default.
• W2016174536 cites W2023359916 @default.
• W2016174536 cites W2029513240 @default.
• W2016174536 cites W2034039186 @default.
• W2016174536 cites W2034754411 @default.
• W2016174536 cites W2045093496 @default.
• W2016174536 cites W2079757714 @default.
• W2016174536 cites W2101731201 @default.
• W2016174536 cites W2159865706 @default.
• W2016174536 cites W2609756009 @default.
• W2016174536 cites W4212856112 @default.
• W2016174536 cites W4229536681 @default.
• W2016174536 cites W643794297 @default.
• W2016174536 doi "https://doi.org/10.1063/1.4889935" @default.
• W2016174536 hasPublicationYear "2014" @default.
• W2016174536 type Work @default.
• W2016174536 sameAs 2016174536 @default.
• W2016174536 citedByCount "3" @default.
• W2016174536 countsByYear W20161745362014 @default.
• W2016174536 countsByYear W20161745362015 @default.
• W2016174536 countsByYear W20161745362016 @default.
• W2016174536 crossrefType "journal-article" @default.
• W2016174536 hasAuthorship W2016174536A5018702132 @default.
• W2016174536 hasAuthorship W2016174536A5069733276 @default.
• W2016174536 hasBestOaLocation W20161745362 @default.
• W2016174536 hasConcept C114614502 @default.
• W2016174536 hasConcept C121332964 @default.
• W2016174536 hasConcept C140820882 @default.
• W2016174536 hasConcept C184720557 @default.
• W2016174536 hasConcept C200114574 @default.
• W2016174536 hasConcept C2775859700 @default.
• W2016174536 hasConcept C33923547 @default.
• W2016174536 hasConcept C57879066 @default.
• W2016174536 hasConcept C62520636 @default.
• W2016174536 hasConcept C7451433 @default.
• W2016174536 hasConcept C74650414 @default.
• W2016174536 hasConcept C91188154 @default.
• W2016174536 hasConceptScore W2016174536C114614502 @default.
• W2016174536 hasConceptScore W2016174536C121332964 @default.
• W2016174536 hasConceptScore W2016174536C140820882 @default.
• W2016174536 hasConceptScore W2016174536C184720557 @default.
• W2016174536 hasConceptScore W2016174536C200114574 @default.
• W2016174536 hasConceptScore W2016174536C2775859700 @default.
• W2016174536 hasConceptScore W2016174536C33923547 @default.
• W2016174536 hasConceptScore W2016174536C57879066 @default.
• W2016174536 hasConceptScore W2016174536C62520636 @default.
• W2016174536 hasConceptScore W2016174536C7451433 @default.
• W2016174536 hasConceptScore W2016174536C74650414 @default.
• W2016174536 hasConceptScore W2016174536C91188154 @default.
• W2016174536 hasIssue "8" @default.
• W2016174536 hasLocation W20161745361 @default.
• W2016174536 hasLocation W20161745362 @default.
• W2016174536 hasOpenAccess W2016174536 @default.
• W2016174536 hasPrimaryLocation W20161745361 @default.
• W2016174536 hasRelatedWork W1216769707 @default.
• W2016174536 hasRelatedWork W1490523819 @default.
• W2016174536 hasRelatedWork W1543817559 @default.
• W2016174536 hasRelatedWork W1649318810 @default.
• W2016174536 hasRelatedWork W2057823000 @default.
• W2016174536 hasRelatedWork W2064316849 @default.
• W2016174536 hasRelatedWork W2064666017 @default.
• W2016174536 hasRelatedWork W2102457342 @default.
• W2016174536 hasRelatedWork W2169067664 @default.
• W2016174536 hasRelatedWork W2904549326 @default.
• W2016174536 hasVolume "55" @default.
• W2016174536 isParatext "false" @default.
• W2016174536 isRetracted "false" @default.
• W2016174536 magId "2016174536" @default.
• W2016174536 workType "article" @default.