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

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/00216208:11320/22:10452966

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA20-22092S" target="_blank" >GA20-22092S: Víceškálová termodynamika: okrajové podmínky, integrace a aplikace</a><br>

Návaznosti

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

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

International Journal of Heat and Mass Transfer

ISSN

0017-9310

e-ISSN

1879-2189

Svazek periodika

199

Číslo periodika v rámci svazku

123405

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

14

Strana od-do

—

Kód UT WoS článku

000888904500002

EID výsledku v databázi Scopus

2-s2.0-85138504476