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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20301 - Mechanical engineering

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

Journal of Heat Transfer

ISSN

0022-1481

e-ISSN

1528-8943

Svazek periodika

144

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

6

Strana od-do

—

Kód UT WoS článku

000861946000010

EID výsledku v databázi Scopus

2-s2.0-85144826726