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A mathematical model for the heat treatment of glass fabric sheets

A mathematical model for the heat treatment of glass fabric sheets
A mathematical model for the heat treatment of glass fabric sheets
During the industrial process of glass fabric manufacture in Latvia, an oil that has earlier been added to the fabric must be removed. To accomplish this, the fabric is passed through a furnace where the oil is removed by burning. It is known that the oil removal process reduces the tensile strength of the fabric. The burning process is analysed via a simple mathematical model that allows the furnace parameters to be optimized. Using some of the well-established properties of glass, it is shown that it is the cooling rather than the heating process that adversely affects the final product. A thermoviscoelastic model is developed to predict the permanent stress in the glass fabric. Some suggestions for modifications to the process are also examined, and it is shown that, to a large extent, the strength of the fabric may be preserved without significantly adding to the cost or intricacy of the production process.
1471-678X
55-86
Buikis, A.
ca3bcb67-3415-49e7-a5d4-6737cb1ab048
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab
Buikis, A.
ca3bcb67-3415-49e7-a5d4-6737cb1ab048
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab

Buikis, A. and Fitt, A.D. (1999) A mathematical model for the heat treatment of glass fabric sheets. IMA Journal of Management Mathematics, 10 (1), 55-86. (doi:10.1093/imaman/10.1.55).

Record type: Article

Abstract

During the industrial process of glass fabric manufacture in Latvia, an oil that has earlier been added to the fabric must be removed. To accomplish this, the fabric is passed through a furnace where the oil is removed by burning. It is known that the oil removal process reduces the tensile strength of the fabric. The burning process is analysed via a simple mathematical model that allows the furnace parameters to be optimized. Using some of the well-established properties of glass, it is shown that it is the cooling rather than the heating process that adversely affects the final product. A thermoviscoelastic model is developed to predict the permanent stress in the glass fabric. Some suggestions for modifications to the process are also examined, and it is shown that, to a large extent, the strength of the fabric may be preserved without significantly adding to the cost or intricacy of the production process.

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Published date: 1999

Identifiers

Local EPrints ID: 29119
URI: http://eprints.soton.ac.uk/id/eprint/29119
ISSN: 1471-678X
PURE UUID: 1c5415b5-511d-431e-b79a-d8567b9d1663

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Date deposited: 03 Jan 2007
Last modified: 15 Jul 2019 19:09

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Contributors

Author: A. Buikis
Author: A.D. Fitt

University divisions

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