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Title: Optimization of plunger cavity (English)
Author: Salač, Petr
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 3-8, 2012
Issue: 2012
Pages: 174-180
Category: math
Summary: In the contribution we present a problem of shape optimization of the cooling cavity of a plunger that is used in the forming process in the glass in dustry. A rotationally symmetric system of the mould, the glass piece, the plunger and the plunger cavity is considered. The state problem is given as a stationary heat conduction process. The system includes a heat source representing the glass piece that is cooled from inside by water flowing through the plunger cavity and from outside by the environment surrounding the mould. The design variable is the shape of the inner surface of the plunger cavity. The cost functional is defined as the squared $L^2_r$ norm of the difference between a prescribed constant and the temperature on the outward boundary of the plunger. (English)
Keyword: optimal shape design
Keyword: heat transfer
Keyword: cooling
Keyword: objective functional
Keyword: rotational symmetry
MSC: 65K10
MSC: 80A20
MSC: 80M50
MSC: 90C30
MSC: 90C90
Date available: 2015-07-08T06:45:05Z
Last updated: 2015-07-08
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