A Nonfield Analytical Method for Solving Some Nonlinear Problems in Heat Transfer

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F22%3A00362592" target="_blank" >RIV/68407700:21220/22:00362592 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1115/1.4055339" target="_blank" >https://doi.org/10.1115/1.4055339</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1115/1.4055339" target="_blank" >10.1115/1.4055339</a>

Result language

angličtina

Original language name

A Nonfield Analytical Method for Solving Some Nonlinear Problems in Heat Transfer

Original language description

This paper presents an extension of the nonfield analytical method—known as the method of Kulish—to some nonlinear problems in heat transfer. In view of the fact that solving nonlinear problems is very complicated in general, the extension of the method is presented in the form of several important illustrative examples. Two classes of problems are considered: first are the problems, in which the heat equation contains nonlinear terms, while the second type of problems includes some problems with nonlinear boundary conditions. From the practical viewpoint, the case considering asymptotic solutions is of the greatest interest: it is shown that, for complex heat transfer problems, where applications of the nonfield method are practically impossible due to a large volume of necessary computations, it is still possible to analyze the solution behavior and automatically determine similarity criteria for the limiting values of the parameters. Wherever possible the obtained solutions are compared with known solutions obtained by other methods. The practical advantages of the nonfield method over other analytical methods are emphasized in each case.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

20301 - Mechanical engineering

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2022

Confidentiality

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

Name of the periodical

Journal of Heat Transfer

ISSN

0022-1481

e-ISSN

1528-8943

Volume of the periodical

144

Issue of the periodical within the volume

11

Country of publishing house

US - UNITED STATES

Number of pages

6

Pages from-to

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UT code for WoS article

000861946000010

EID of the result in the Scopus database

2-s2.0-85144826726