Ward, JA, Fowler, AC and O'Brien, SBG (2011) Acid polishing of lead glass. Journal of Mathematics in Industry, 1 (1). pp. 1-18.
Abstract
Purpose: The polishing of cut lead glass crystal is effected through the dowsing of the glass in a mixture of two separate acids, which between them etch the surface and as a result cause it to be become smooth. In order to characterise the resultant polishing the rate of surface etching must be known, but when this involves multicomponent surface reactions it becomes unclear what this rate actually is.
Methods: We develop a differential equation based discrete model to determine the effective etching rate by means of an atomic scale model of the etching process.
Results: We calculate the etching rate numerically and provide an approximate asymptotic estimate.
Conclusions: The natural extension of this work would be to develop a continuum advection-diffusion model.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Ward et al.; licensee Springer 2011. This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
Keywords: | Etching rate multi-component; crystal glass; mathematical model; ordinary differential equation; asymptotics; numerics; Laplace transform |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 02 Aug 2018 08:40 |
Last Modified: | 23 Jun 2023 22:01 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1186/2190-5983-1-1 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:96410 |