Numerical solution of the pressing devices shape optimization problem in the glass industry
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F18%3A00006391" target="_blank" >RIV/46747885:24510/18:00006391 - isvavai.cz</a>
Result on the web
<a href="https://articles.math.cas.cz/10.21136/AM.2018.0247-17" target="_blank" >https://articles.math.cas.cz/10.21136/AM.2018.0247-17</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/AM.2018.0247-17" target="_blank" >10.21136/AM.2018.0247-17</a>
Alternative languages
Result language
angličtina
Original language name
Numerical solution of the pressing devices shape optimization problem in the glass industry
Original language description
In this contribution, we present the problem of shape optimization of the plunger cooling which comes from the forming process in the glass industry. We look for a shape of the inner surface of the insulation barrier located in the plunger cavity so as to achieve a constant predetermined temperature on the outward surface of the plunger. A rotationally symmetric system, composed of the mould, the glass piece, the plunger, the insulation barrier and the plunger cavity, is considered. The state problem is given as a multiphysics problem where solidifying molten glass is cooled from the inside by water flowing through the plunger cavity and from the outside by the environment surrounding the mould.The cost functional is defined as the squared Lr2 norm of the difference between a prescribed constant and the temperature on the outward boundary of the plunger. The temperature distribution is controlled by changing the insulation barrier wall thickness.The numerical results of the optimization to the required target temperature 800 ?C of the outward plunger surface together with the distribution of temperatures along the interface between the plunger and the glass piece before, during and after the optimization process are presented.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/TA03010852" target="_blank" >TA03010852: The development of progressive cooling systems of moulds for container glass IS machines</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applications of Mathematics
ISSN
0862-7940
e-ISSN
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Volume of the periodical
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Issue of the periodical within the volume
63
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
22
Pages from-to
643-664
UT code for WoS article
000453844300004
EID of the result in the Scopus database
2-s2.0-85059001307