SALAČ, Petr. Optimal design of the cooling plunger cavity. Applications of Mathematics. 2013, Volume 58, Issue 4, p. 405 - 422. ISSN 0862-7940.
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Basic information
Original name Optimal design of the cooling plunger cavity
Authors SALAČ, Petr (203 Czech Republic, guarantor, belonging to the institution).
Edition Applications of Mathematics, 2013, 0862-7940.
Other information
Original language English
Type of outcome Article in a journal
Field of Study General mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/46747885:24510/13:#0000997
Organization Faculty of Science, Humanities and Education – Technical University of Liberec – Repository
Keywords in English energy transfer
Links MSM4674788501, plan (intention).
Changed by Changed by: RNDr. Daniel Jakubík, učo 139797. Changed: 10/3/2015 13:50.
Abstract
An axisymmetric system of mould, glass piece, plunger and plunger cavity is considered. The state problem is given as a stationary head conduction process. The system has given heat source representing glass piece and is cooled by flowing water inside the plunger cavity and outside by environment of the mould. The design variable is taken to be the shape of inner surface of the plunger cavity. The cost functional is the second power of the norm in the weighted space $ L^2_r $ of difference of trace of temperature from given constant, which is evaluated on the outward boundary of the plunger. Existence and uniqueness of the state problem solution and existence of a solution of the optimization problem are proved.
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