|Title||Successes and challenges in modelling of fibre drawing|
|Presenter||Yvonne Stokes (The University of Adelaide)|
|Session||Dynamical Systems and Fluid Dynamics|
Modelling of fibre drawing has been a topic of interest for around five decades. The ‘spinning’ of textile fibres motivated early work while, in later years the importance of optical fibres in modern technologies has driven further research. The development of microstructured optical fibres, containing patterns of air channels, have revolutionised optical fibre technology, promising a virtually limitless range of fibre designs for a wide range of applications. But fabrication of a fibre with a desired structure presents a major challenge. What initial preform is suitable and what draw parameters should be used? Can it even be made? This is an inverse problem and mathematics is essential to its solution. The slenderness of the geometry enables extensional flow theory to be used to develop accurate and efficient models, and progress was made by various researchers for some simple geometries. But, application to fibres of arbitrary cross-section was elusive until a recent breakthrough by myself and coworkers. I will discuss this breakthrough and the significant progress that it has brought, including solution of the inverse problem. I will show some stunningly accurate comparisons of model and experiment and also describe ongoing work to explain some perplexing discrepancies.
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