Model Formulas for Facilitating Determination of Concentration-Dependent Diffusion Coefficients

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F15%3A00233332" target="_blank" >RIV/68407700:21110/15:00233332 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s12540-015-4450-6" target="_blank" >http://dx.doi.org/10.1007/s12540-015-4450-6</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s12540-015-4450-6" target="_blank" >10.1007/s12540-015-4450-6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Model Formulas for Facilitating Determination of Concentration-Dependent Diffusion Coefficients

Popis výsledku v původním jazyce

Several formulas for determining the concentration dependence of diffusion coefficients are introduced for a one-dimensional semi-infinite diffusion problem, applying the Boltzmann-Matano method to ?S-shaped? concentration profiles approximated by modelfunctions. The functions are expressed in terms of the Gauss error function, hyperbolic tangent, exponential, and inverse tangent. For all model profiles the corresponding formulas for the diffusion coefficient are calculated. Rapid estimates of the diffusion coefficient are also provided as simple expressions obtained by evaluating the formulas at the center of the concentration profile. The results for the individual profiles are compared, and it is demonstrated that even very similar profiles can lead to rather different diffusion coefficients, especially at low concentrations. Using two examples of different diffusion processes, it is demonstrated that the results can be employed to rapidly calculate diffusion coefficients. In addit

Název v anglickém jazyce

Model Formulas for Facilitating Determination of Concentration-Dependent Diffusion Coefficients

Popis výsledku anglicky

Several formulas for determining the concentration dependence of diffusion coefficients are introduced for a one-dimensional semi-infinite diffusion problem, applying the Boltzmann-Matano method to ?S-shaped? concentration profiles approximated by modelfunctions. The functions are expressed in terms of the Gauss error function, hyperbolic tangent, exponential, and inverse tangent. For all model profiles the corresponding formulas for the diffusion coefficient are calculated. Rapid estimates of the diffusion coefficient are also provided as simple expressions obtained by evaluating the formulas at the center of the concentration profile. The results for the individual profiles are compared, and it is demonstrated that even very similar profiles can lead to rather different diffusion coefficients, especially at low concentrations. Using two examples of different diffusion processes, it is demonstrated that the results can be employed to rapidly calculate diffusion coefficients. In addit

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

JN - Stavebnictví

OECD FORD obor

—

Projekt

<a href="/cs/project/GBP105%2F12%2FG059" target="_blank" >GBP105/12/G059: Kumulativní časově závislé procesy ve stavebních materiálech a konstrukcích</a><br>

Návaznosti

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

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

METALS AND MATERIALS INTERNATIONAL

ISSN

1598-9623

e-ISSN

—

Svazek periodika

21

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

KR - Korejská republika

Počet stran výsledku

6

Strana od-do

907-912

Kód UT WoS článku

000360895700015

EID výsledku v databázi Scopus

2-s2.0-84941316940