A non-field analytical method for heat transfer problems through a moving boundary
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F21%3A00557267" target="_blank" >RIV/60162694:G43__/21:00557267 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21220/21:00352907
Result on the web
<a href="https://www.nature.com/articles/s41598-021-98572-x" target="_blank" >https://www.nature.com/articles/s41598-021-98572-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1038/s41598-021-98572-x" target="_blank" >10.1038/s41598-021-98572-x</a>
Alternative languages
Result language
angličtina
Original language name
A non-field analytical method for heat transfer problems through a moving boundary
Original language description
This paper presents an extension of the non-field analytical method-known as the method of Kulish-to solving heat transfer problems in domains with a moving boundary. This is an important type of problems with various applications in different areas of science. Among these are heat transfer due to chemical reactions, ignition and explosions, combustion, and many others. The general form of the non-field solution has been obtained for the case of an arbitrarily moving boundary. After that some particular cases of the solution are considered. Among them are such cases as the boundary speed changing linearly, parabolically, exponentially, and polynomially. Whenever possible, the solutions thus obtained have been compared with known solutions. The final part of the paper is devoted to determination of the front propagation law in Stefan-type problems at large times. Asymptotic solutions have been found for several important cases of the front propagation.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10700 - Other natural sciences
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SCIENTIFIC REPORTS
ISSN
2045-2322
e-ISSN
2045-2322
Volume of the periodical
11
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
9
Pages from-to
18968
UT code for WoS article
000698791600038
EID of the result in the Scopus database
2-s2.0-85115612734