Optimization of plunger cavity

Salač, Petr

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 174-180

Abstract

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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.

How to cite

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Salač, Petr. "Optimization of plunger cavity." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2013. 174-180. <http://eudml.org/doc/271280>.

@inProceedings{Salač2013,
abstract = {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.},
author = {Salač, Petr},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {optimal shape design; heat transfer; cooling; objective functional; rotational symmetry},
location = {Prague},
pages = {174-180},
publisher = {Institute of Mathematics AS CR},
title = {Optimization of plunger cavity},
url = {http://eudml.org/doc/271280},
year = {2013},
}

TY - CLSWK
AU - Salač, Petr
TI - Optimization of plunger cavity
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 174
EP - 180
AB - 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.
KW - optimal shape design; heat transfer; cooling; objective functional; rotational symmetry
UR - http://eudml.org/doc/271280
ER -

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