A multiscale thermodynamic generalization of Maxwell-Stefan diffusion equations and of the dusty gas model

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F22%3A00363807" target="_blank" >RIV/68407700:21340/22:00363807 - isvavai.cz</a>

Alternative codes found

RIV/00216208:11320/22:10452966

Result on the web

<a href="https://doi.org/10.1016/j.ijheatmasstransfer.2022.123405" target="_blank" >https://doi.org/10.1016/j.ijheatmasstransfer.2022.123405</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ijheatmasstransfer.2022.123405" target="_blank" >10.1016/j.ijheatmasstransfer.2022.123405</a>

Result language

angličtina

Original language name

A multiscale thermodynamic generalization of Maxwell-Stefan diffusion equations and of the dusty gas model

Original language description

Despite the fact that the theory of mixtures has been part of non-equilibrium thermodynamics and engineering for a long time, it is far from complete. While it is well formulated and tested in the case of mechanical equilibrium (where only diffusion-like processes take place), the question how to properly describe homogeneous mixtures that flow with multiple independent velocities that still possess some inertia (before mechanical equilibrium is reached) is still open. Moreover, the mixtures can have several temperatures before the temperatures relax to a common value. In this paper, we derive a theory of mixtures from Hamiltonian mechanics in interaction with electromagnetic fields. The resulting evolution equations are then reduced to the case with only one momentum (classical irreversible thermodynamics), providing a generalization of the Maxwell-Stefan diffusion equations. Then, we reduce that description to the mechanical equilibrium (no momentum) and derive a non-isothermal variant of the dusty gas model. These reduced equations are solved numerically, and we illustrate the results on efficiency analysis, showing where in a concentration cell efficiency is lost. Finally, the theory of mixtures identifies the temperature difference between constituents as a possible new source of the Soret coefficient. For the sake of clarity, we restrict the presentation to the case of binary mixtures; the generalization is straightforward. (c) 2022ElsevierLtd. Allrightsreserved.

Czech name

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Czech description

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Type

J_imp - 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

Project

<a href="/en/project/GA20-22092S" target="_blank" >GA20-22092S: Multiscale thermodynamics: boundary conditions, integration and applications</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2022

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

International Journal of Heat and Mass Transfer

ISSN

0017-9310

e-ISSN

1879-2189

Volume of the periodical

199

Issue of the periodical within the volume

123405

Country of publishing house

US - UNITED STATES

Number of pages

14

Pages from-to

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UT code for WoS article

000888904500002

EID of the result in the Scopus database

2-s2.0-85138504476