A Nonfield Analytical Method for Solving Energy Transport Equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F20%3A00341252" target="_blank" >RIV/68407700:21220/20:00341252 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1115/1.4046301" target="_blank" >https://doi.org/10.1115/1.4046301</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1115/1.4046301" target="_blank" >10.1115/1.4046301</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A Nonfield Analytical Method for Solving Energy Transport Equations

Popis výsledku v původním jazyce

In 2000, Kulish and Lage proposed an elegant method, which allows one to obtain ana- lytical (closed-form) solutions to various energy transport problems. The solutions thus obtained are in the form of the Volterra-type integral equations, which relate the local values of an intensive property (e.g., temperature, mass concentration, and velocity) and the corresponding energy flux (e.g., heat flux, mass flux, and shear stress). The method does not require one to solve for the entire domain, and hence, is a nonfield analytical method. Over the past 19 years, the method was shown to be extremely effective when applied to solving numerous energy transport problems. In spite of all these develop- ments, no general theoretical justification of the method was proposed until now. The present work proposes a justification of the procedure behind the method and provides a generalized technique of splitting the differential operators in the energy transport equations.

Název v anglickém jazyce

A Nonfield Analytical Method for Solving Energy Transport Equations

Popis výsledku anglicky

In 2000, Kulish and Lage proposed an elegant method, which allows one to obtain ana- lytical (closed-form) solutions to various energy transport problems. The solutions thus obtained are in the form of the Volterra-type integral equations, which relate the local values of an intensive property (e.g., temperature, mass concentration, and velocity) and the corresponding energy flux (e.g., heat flux, mass flux, and shear stress). The method does not require one to solve for the entire domain, and hence, is a nonfield analytical method. Over the past 19 years, the method was shown to be extremely effective when applied to solving numerous energy transport problems. In spite of all these develop- ments, no general theoretical justification of the method was proposed until now. The present work proposes a justification of the procedure behind the method and provides a generalized technique of splitting the differential operators in the energy transport equations.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

20301 - Mechanical engineering

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

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

142

Číslo periodika v rámci svazku

APRIL

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

4

Strana od-do

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Kód UT WoS článku

000519109800008

EID výsledku v databázi Scopus

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