A geometric one-fluid model of superfluid helium-4
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10508622" target="_blank" >RIV/00216208:11320/25:10508622 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=qcaoyAYmMA" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=qcaoyAYmMA</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijengsci.2025.104377" target="_blank" >10.1016/j.ijengsci.2025.104377</a>
Alternative languages
Result language
angličtina
Original language name
A geometric one-fluid model of superfluid helium-4
Original language description
A standard description of superfluid helium-4 is based on the concept of two components (superfluid and normal), which leads to the so called two-fluid models. However, as there are no two kinds of atoms in helium-4, the two components cannot be separated. Superfluid helium-4 is not a mixture of two components, being rather a single fluid with two motions. Here, we present a geometric one-fluid model of superfluid helium-4, which is based on the Hamiltonian formulation of fluid mechanics. The model is derived from the kinetic theory of excitations (treated as an ideal Bose gas under the temperature 1.3 K) and average particle motions. It can be simplified to the Hall-Vinen-Bekharevich-Khalatnikov (HVBK) two-fluid model, where it removes one fitting parameter from the HVBK model, but it also gives extra terms beyond the HVBK model. Actually, we show that the two-fluid models are problematic in case of higher counter-flow velocities, where the usual splitting of total momentum to the superfluid and normal component becomes impossible. Finally, we show how vortex line density may be added to the state variables. The one-fluid model can be seen as a generalization of the two-fluid models that is geometrically consistent, fully compressible, with non-zero superfluid vorticity, and compatible with classical experiments.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA23-05736S" target="_blank" >GA23-05736S: Geometric multiscale thermodynamics of complex fluids</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Engineering Science
ISSN
0020-7225
e-ISSN
1879-2197
Volume of the periodical
217
Issue of the periodical within the volume
Neuveden
Country of publishing house
GB - UNITED KINGDOM
Number of pages
24
Pages from-to
104377
UT code for WoS article
001571836500001
EID of the result in the Scopus database
2-s2.0-105015526989