McIlroy, Claire (2019) A fundamental rule: determining the importance of flow prior to polymer crystallization. Physics of Fluids, 31 . p. 113103. ISSN 1070-6631
Full content URL: https://doi.org/10.1063/1.5129119
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Item Type: | Article |
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Item Status: | Live Archive |
Abstract
A continuum-level model for non-isothermal polymer crystallization following a complex flow is presented, along with a fundamental rule that may be employed to determine if the flow will influence the ensuing crystallization dynamics. This rule is based on two dimensionless parameters: the (Rouse) Weissenberg number, and an inverse Deborah number de�ned by the ratio between the time taken to cool to the melting point versus the stretch relaxation time, which determines the time available for flow-enhanced crystallization. Moreover, we show how the time to reach the melting point can be derived semi-analytically and expressed in terms of the processing conditions in the case of pipe
flow - ubiquitous in polymer processing. Whilst the full numerical model is required to quantitatively predict induction times and spherulite-size distributions, the proposed fundamental rule may be used practically to ensure, or
eliminate, flow-enhanced structures by controlling the processing conditions or material properties. We discuss how
ow-enhanced structures may be revealed only after post-processing annealing, and finally examine previous works that have successfully applied the model to extrusion-based three-dimensional (3D) printing.
Keywords: | flow-enhanced crystallization, polymer processing, non-isothermal |
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Subjects: | G Mathematical and Computer Sciences > G150 Mathematical Modelling G Mathematical and Computer Sciences > G120 Applied Mathematics G Mathematical and Computer Sciences > G160 Engineering/Industrial Mathematics H Engineering > H141 Fluid Mechanics H Engineering > H990 Engineering not elsewhere classified F Physical Sciences > F200 Materials Science |
Divisions: | College of Science > School of Mathematics and Physics |
ID Code: | 38711 |
Deposited On: | 06 Nov 2019 10:48 |
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