An alternative model of multicomponent diffusion based on a combination of the Maxwell-Stefan theory and continuum mechanics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00338362" target="_blank" >RIV/68407700:21340/20:00338362 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.jcp.2019.108962" target="_blank" >https://doi.org/10.1016/j.jcp.2019.108962</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jcp.2019.108962" target="_blank" >10.1016/j.jcp.2019.108962</a>

Jazyk výsledku

angličtina

Název v původním jazyce

An alternative model of multicomponent diffusion based on a combination of the Maxwell-Stefan theory and continuum mechanics

Popis výsledku v původním jazyce

We present a theory of multicomponent mixtures which does not employ any splitting of component fluxes into convective and diffusive parts. Instead, momentum balance is formulated individually for each component in which both 1) viscous friction within a component, and 2) momentum exchange among different components, are taken into account. While the viscous friction is described using the Newtonian stress tensor, the Maxwell-Stefan theory is used to describe the momentum exchange among different components. When the viscosity is neglected, the model of ideal mixture of ideal gases leads to a hyperbolic system of conservation laws. For the non-ideal mixtures, we obtain a first-order system in a non-conservative form. A simplified version of the model is discretized using a combination of the finite volume method and the mixed-hybrid finite element method. Numerical examples are provided to show typical behavior of the solution of the model equations.

Název v anglickém jazyce

An alternative model of multicomponent diffusion based on a combination of the Maxwell-Stefan theory and continuum mechanics

Popis výsledku anglicky

We present a theory of multicomponent mixtures which does not employ any splitting of component fluxes into convective and diffusive parts. Instead, momentum balance is formulated individually for each component in which both 1) viscous friction within a component, and 2) momentum exchange among different components, are taken into account. While the viscous friction is described using the Newtonian stress tensor, the Maxwell-Stefan theory is used to describe the momentum exchange among different components. When the viscosity is neglected, the model of ideal mixture of ideal gases leads to a hyperbolic system of conservation laws. For the non-ideal mixtures, we obtain a first-order system in a non-conservative form. A simplified version of the model is discretized using a combination of the finite volume method and the mixed-hybrid finite element method. Numerical examples are provided to show typical behavior of the solution of the model equations.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA17-08218S" target="_blank" >GA17-08218S: Materiály pro skladování tepelné energie: termofyzikální charakterizace pro návrh akumulátorů tepla</a><br>

Návaznosti

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

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Journal of Computational Physics

ISSN

0021-9991

e-ISSN

1090-2716

Svazek periodika

400

Číslo periodika v rámci svazku

108962

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

18

Strana od-do

—

Kód UT WoS článku

000494841600006

EID výsledku v databázi Scopus

2-s2.0-85073377615