Model Formulas for Facilitating Determination of Concentration-Dependent Diffusion Coefficients

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

Model Formulas for Facilitating Determination of Concentration-Dependent Diffusion Coefficients

Original language description

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

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

JN - Civil engineering

OECD FORD branch

—

Project

<a href="/en/project/GBP105%2F12%2FG059" target="_blank" >GBP105/12/G059: Cumulative time dependent processes in building materials and structures</a><br>

Continuities

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

Publication year

2015

Confidentiality

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

Name of the periodical

METALS AND MATERIALS INTERNATIONAL

ISSN

1598-9623

e-ISSN

—

Volume of the periodical

21

Issue of the periodical within the volume

5

Country of publishing house

KR - KOREA, REPUBLIC OF

Number of pages

6

Pages from-to

907-912

UT code for WoS article

000360895700015

EID of the result in the Scopus database

2-s2.0-84941316940