Shape optimization in flowing medium cooling
Result description
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.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Shape optimization in flowing medium cooling
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
O - Projekt operacniho programu
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
AIP Conference Proceedings, 1497
ISBN
9780735411111
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
45 - 52
Publisher name
Res. Dev. Sect. Tech. Univ. Sofia
Place of publication
Sozopol, Bulgaria
Event location
Sozopol, Bulgaria
Event date
Jun 8, 2012
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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Basic information
Result type
D - Article in proceedings
CEP
BA - General mathematics
Year of implementation
2012