Nonequilibrium ensemble derivation of hydrodynamic heat transport and higher-order generalizations
Thermal transport in classical fluids is analyzed through higher-order generalized hydrodynamics (or mesoscopic hydrothermodynamics) depending on the evolution of the energy density and its fluxes of all orders. It is derived by a kinetic theory based on the nonequilibrium statistical ensemble forma...
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Veröffentlicht in: | Indian journal of physics 2022-02, Vol.96 (2), p.647-657 |
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description | Thermal transport in classical fluids is analyzed through higher-order generalized hydrodynamics (or mesoscopic hydrothermodynamics) depending on the evolution of the energy density and its fluxes of all orders. It is derived by a kinetic theory based on the nonequilibrium statistical ensemble formalism. A general system of coupled evolution equations is derived. Maxwell times, which are of significance to determine the character of the motion, are derived. They also have an important role in the choice of the contraction of description (limitation in the number of fluxes to be retained) in the studies on hydrodynamic motions. In a description of order 1, an analysis of the technological process of thermal prototyping is presented. |
doi_str_mv | 10.1007/s12648-020-01968-0 |
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In a description of order 1, an analysis of the technological process of thermal prototyping is presented.</description><subject>Astrophysics and Astroparticles</subject><subject>Evolution</subject><subject>Flux density</subject><subject>Fluxes</subject><subject>Hydrothermodynamics</subject><subject>Kinetic theory</subject><subject>Original Paper</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Prototyping</subject><issn>0973-1458</issn><issn>0974-9845</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLxDAUhYsoOI7-AVcB19WbR5t2KYMvGHSj65A2t9MMbTKTtML4661TwZ2rexbnOxe-JLmmcEsB5F2kLBdFCgxSoGU-pZNkAaUUaVmI7PSYeUpFVpwnFzFuAfKSymyRVK_e4X60na2CHXuCLmJfdUgMBvupB-sd8Q1pDyZ4c3C6tzVpUQ9kCNrFnQ8D0c6Q1m5aDKkPE0Y26DDozn4d8XiZnDW6i3j1e5fJx-PD--o5Xb89vazu12nNJAwp03UOMkdZZQVnLEdKTWa4QSEM1JpKEJkBLDkXZVOVJdScmzpjppGyyQrgy-Rm3t0Fvx8xDmrrx-Cml4rljMFkohBTi82tOvgYAzZqF2yvw0FRUD8u1exSTS7V0aX6meYzFKey22D4m_6H-gZ6B3jl</recordid><startdate>20220201</startdate><enddate>20220201</enddate><creator>Rodrigues, Clóves G.</creator><creator>Silva, Carlos A. 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subjects | Astrophysics and Astroparticles Evolution Flux density Fluxes Hydrothermodynamics Kinetic theory Original Paper Physics Physics and Astronomy Prototyping |
title | Nonequilibrium ensemble derivation of hydrodynamic heat transport and higher-order generalizations |
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