Multiscale heat transport with inertia and thermal vortices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10473349" target="_blank" >RIV/00216208:11320/23:10473349 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=k3PVVI6Tui" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=k3PVVI6Tui</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1402-4896/acf418" target="_blank" >10.1088/1402-4896/acf418</a>
Alternative languages
Result language
angličtina
Original language name
Multiscale heat transport with inertia and thermal vortices
Original language description
In this paper, we present a Hamiltonian and thermodynamic theory of heat transport on various levels of description. Transport of heat is formulated within kinetic theory of polarized phonons, kinetic theory of unpolarized phonons, hydrodynamics of polarized phonons, and hydrodynamics of unpolarized phonons. These various levels of description are linked by Poisson reductions, where no linearizations are made. Consequently, we obtain a new phonon hydrodynamics that contains convective terms dependent on vorticity of the heat flux, which are missing in the standard theories of phonon hydrodynamics. Within the zero-order Chapman-Enskog reduction, the resulting hydrodynamic equations are hyperbolic and Galilean invariant, while the first Chapman-Enskog expansion gives additional viscous-like terms. The vorticity-dependent terms violate the alignment of the heat flux with the temperature gradient even in the stationary state, which is expressed by a Fourier-Crocco equation. Those terms also cause that temperature plays in heat transport a similar role as pressure in aerodynamics, which is illustrated on numerical simulations of flow past a cylinder. In particular, we show that the vorticity-dependent terms lead to a colder spot just behind the cylinder, and for high-enough Reynolds numbers they lead to the von Karman vortex street.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physica Scripta
ISSN
0031-8949
e-ISSN
1402-4896
Volume of the periodical
98
Issue of the periodical within the volume
10
Country of publishing house
SE - SWEDEN
Number of pages
24
Pages from-to
105234
UT code for WoS article
001072142100001
EID of the result in the Scopus database
2-s2.0-85173266094