The optimization of heat radiation intensity

Mlýnek, Jaroslav; Srb, Radek

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 142-148

Abstract

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This article focuses on the problem of calculating the intensity of heat radiation and its optimization across the surface of an aluminium or nickel mould. The inner mould surface is sprinkled with a special PVC powder and the outer mould surface is warmed by infrared heaters located above the mould. In this way artificial leathers are produced in the car industry (e.g., the artificial leather on a car dashboard). The article includes a description of how a mathematical model allows us to calculate the heat radiation intensity across the mould surface for every fixed location of the heaters. In calculating the intensity of the heat radiation, we use experimentally measured values of the heat radiation intensity by a sensor at the selected points in the vicinity of the heater. It is necessary to optimize the location of the heaters to provide approximately the same heat radiation intensity across the whole mould surface during the warming of the mould (to obtain a uniform material structure and colour tone of the artificial leather). The problem of optimization is more complicated (used moulds are often very rugged, during the process of optimization we avoid possible collisions of two heaters as well as of a heater and the mould surface). A genetic algorithm and the technique of hill climbing are used during the process of optimization. The calculations were performed by a Matlab code written by the authors. The article contains a practical example.

How to cite

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Mlýnek, Jaroslav, and Srb, Radek. "The optimization of heat radiation intensity." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2013. 142-148. <http://eudml.org/doc/271253>.

@inProceedings{Mlýnek2013,
abstract = {This article focuses on the problem of calculating the intensity of heat radiation and its optimization across the surface of an aluminium or nickel mould. The inner mould surface is sprinkled with a special PVC powder and the outer mould surface is warmed by infrared heaters located above the mould. In this way artificial leathers are produced in the car industry (e.g., the artificial leather on a car dashboard). The article includes a description of how a mathematical model allows us to calculate the heat radiation intensity across the mould surface for every fixed location of the heaters. In calculating the intensity of the heat radiation, we use experimentally measured values of the heat radiation intensity by a sensor at the selected points in the vicinity of the heater. It is necessary to optimize the location of the heaters to provide approximately the same heat radiation intensity across the whole mould surface during the warming of the mould (to obtain a uniform material structure and colour tone of the artificial leather). The problem of optimization is more complicated (used moulds are often very rugged, during the process of optimization we avoid possible collisions of two heaters as well as of a heater and the mould surface). A genetic algorithm and the technique of hill climbing are used during the process of optimization. The calculations were performed by a Matlab code written by the authors. The article contains a practical example.},
author = {Mlýnek, Jaroslav, Srb, Radek},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {mould heating; radiant heater; objective function; minimisation},
location = {Prague},
pages = {142-148},
publisher = {Institute of Mathematics AS CR},
title = {The optimization of heat radiation intensity},
url = {http://eudml.org/doc/271253},
year = {2013},
}

TY - CLSWK
AU - Mlýnek, Jaroslav
AU - Srb, Radek
TI - The optimization of heat radiation intensity
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 142
EP - 148
AB - This article focuses on the problem of calculating the intensity of heat radiation and its optimization across the surface of an aluminium or nickel mould. The inner mould surface is sprinkled with a special PVC powder and the outer mould surface is warmed by infrared heaters located above the mould. In this way artificial leathers are produced in the car industry (e.g., the artificial leather on a car dashboard). The article includes a description of how a mathematical model allows us to calculate the heat radiation intensity across the mould surface for every fixed location of the heaters. In calculating the intensity of the heat radiation, we use experimentally measured values of the heat radiation intensity by a sensor at the selected points in the vicinity of the heater. It is necessary to optimize the location of the heaters to provide approximately the same heat radiation intensity across the whole mould surface during the warming of the mould (to obtain a uniform material structure and colour tone of the artificial leather). The problem of optimization is more complicated (used moulds are often very rugged, during the process of optimization we avoid possible collisions of two heaters as well as of a heater and the mould surface). A genetic algorithm and the technique of hill climbing are used during the process of optimization. The calculations were performed by a Matlab code written by the authors. The article contains a practical example.
KW - mould heating; radiant heater; objective function; minimisation
UR - http://eudml.org/doc/271253
ER -

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