Shape optimization in flowing medium cooling

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F12%3A%230000807" target="_blank" >RIV/46747885:24510/12:#0000807 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1063/1.4766765" target="_blank" >http://dx.doi.org/10.1063/1.4766765</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.4766765" target="_blank" >10.1063/1.4766765</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Shape optimization in flowing medium cooling

Popis výsledku v původním jazyce

In the paper we assume the body which is subjected to influence of given heat source on the part of boundary Gamma_1 and is cooled by flowing cooling medium on the part of boundary Gamma_2. The problem of shape optimization which focuses to control distribution of temperature on the boundary Gamma_1 of the body with heat source by the change of shape of boundary Gamma_2 is formulated. The energy equation for cooling by flowing medium, which is assumed as a potential flow, is used as the state problem. The cost functional is taken as the second power of the norm in space L^2 of difference of trace temperature from the given constant evaluated on the boundary Gamma_1. Existence and uniqueness of the state problem solution and existence of a solution of shape optimization problem are proved.

Název v anglickém jazyce

Shape optimization in flowing medium cooling

Popis výsledku anglicky

In the paper we assume the body which is subjected to influence of given heat source on the part of boundary Gamma_1 and is cooled by flowing cooling medium on the part of boundary Gamma_2. The problem of shape optimization which focuses to control distribution of temperature on the boundary Gamma_1 of the body with heat source by the change of shape of boundary Gamma_2 is formulated. The energy equation for cooling by flowing medium, which is assumed as a potential flow, is used as the state problem. The cost functional is taken as the second power of the norm in space L^2 of difference of trace temperature from the given constant evaluated on the boundary Gamma_1. Existence and uniqueness of the state problem solution and existence of a solution of shape optimization problem are proved.

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

—

Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název statě ve sborníku

AIP Conference Proceedings, 1497

ISBN

9780735411111

ISSN

—

e-ISSN

—

Počet stran výsledku

8

Strana od-do

45 - 52

Název nakladatele

Res. Dev. Sect. Tech. Univ. Sofia

Místo vydání

Sozopol, Bulgaria

Místo konání akce

Sozopol, Bulgaria

Datum konání akce

8. 6. 2012

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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