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The mathematical modelling of capillary drawing for holey fibre manufacture

The mathematical modelling of capillary drawing for holey fibre manufacture
The mathematical modelling of capillary drawing for holey fibre manufacture
Microstructured optical fibres (i.e. fibres that contain holes) have assumed a high profile in recent years, and given rise to many novel optical devices. The problem of manufacturing such fibres by heating and then drawing a preform is considered for the particularly simple case of annular capillaries. A fluid-mechanics model is constructed using asymptotic analysis based on the small aspect ratio of the capillary. The leading-order equations are then examined in a number of asymptotic limits, many of which give valuable practical information about the control parameters that influence the drawing process. Finally, some comparisons with experiment are performed. For a limited set of experiments where the internal hole is pressurised, the theoretical predictions give qualitatively accurate results. For a much more detailed set of experiments carried out with a high-grade silica glass where no hole pressurisation is used, the relevant asymptotic solution to the governing equations is shown to give predictions that agree remarkably well with experiment.
asymptotic analysis, extensional flow, holey fibres, optical-fibre manufacture, slow viscous flow
0022-0833
201-227
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab
Furusawa, K.
f84c2a9c-89d8-41a1-9d7a-b196fc4ed60c
Monro, T.M.
4f0295a8-d9ec-45a5-b72b-72908f2549bb
Please, C.P.
118dffe7-4b38-4787-a972-9feec535839e
Richardson, D.J.
ebfe1ff9-d0c2-4e52-b7ae-c1b13bccdef3
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab
Furusawa, K.
f84c2a9c-89d8-41a1-9d7a-b196fc4ed60c
Monro, T.M.
4f0295a8-d9ec-45a5-b72b-72908f2549bb
Please, C.P.
118dffe7-4b38-4787-a972-9feec535839e
Richardson, D.J.
ebfe1ff9-d0c2-4e52-b7ae-c1b13bccdef3

Fitt, A.D., Furusawa, K., Monro, T.M., Please, C.P. and Richardson, D.J. (2002) The mathematical modelling of capillary drawing for holey fibre manufacture. Journal of Engineering Mathematics, 43 (2-4), 201-227. (doi:10.1023/A:1020328606157).

Record type: Article

Abstract

Microstructured optical fibres (i.e. fibres that contain holes) have assumed a high profile in recent years, and given rise to many novel optical devices. The problem of manufacturing such fibres by heating and then drawing a preform is considered for the particularly simple case of annular capillaries. A fluid-mechanics model is constructed using asymptotic analysis based on the small aspect ratio of the capillary. The leading-order equations are then examined in a number of asymptotic limits, many of which give valuable practical information about the control parameters that influence the drawing process. Finally, some comparisons with experiment are performed. For a limited set of experiments where the internal hole is pressurised, the theoretical predictions give qualitatively accurate results. For a much more detailed set of experiments carried out with a high-grade silica glass where no hole pressurisation is used, the relevant asymptotic solution to the governing equations is shown to give predictions that agree remarkably well with experiment.

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More information

Published date: August 2002
Keywords: asymptotic analysis, extensional flow, holey fibres, optical-fibre manufacture, slow viscous flow

Identifiers

Local EPrints ID: 13798
URI: https://eprints.soton.ac.uk/id/eprint/13798
ISSN: 0022-0833
PURE UUID: aeafad97-fbee-4515-986b-78e264db1fea
ORCID for D.J. Richardson: ORCID iD orcid.org/0000-0002-7751-1058

Catalogue record

Date deposited: 18 Jan 2005
Last modified: 03 Dec 2019 02:05

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