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Research Papers: Heat and Mass Transfer

Heat Transfer Modeling of the Capillary Fiber Drawing Process

[+] Author and Article Information
Shicheng Xue

School of Chemical and
Biomolecular Engineering,
University of Sydney,
Sydney 2006, NSW, Australia
e-mail: shicheng.xue@sydney.edu.au

Geoffrey Barton

School of Chemical and
Biomolecular Engineering,
University of Sydney,
Sydney 2006, NSW, Australia
e-mail: geoff.barton@sydney.edu.au

Simon Fleming

Institute of Photonics and
Optical Sciences (IPOS),
School of Physics,
University of Sydney,
Sydney 2006, NSW, Australia
e-mail: simon.fleming@sydney.edu.au

Alexander Argyros

Institute of Photonics and
Optical Sciences (IPOS),
School of Physics,
University of Sydney,
Sydney 2006, NSW, Australia
e-mail: alexander.argyros@sydney.edu.au

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received October 16, 2016; final manuscript received December 20, 2016; published online March 15, 2017. Assoc. Editor: Zhixiong Guo.

J. Heat Transfer 139(7), 072001 (Mar 15, 2017) (12 pages) Paper No: HT-16-1671; doi: 10.1115/1.4035714 History: Received October 16, 2016; Revised December 20, 2016

Considerable recent research has focused on the ability of microstructured fibers to exhibit diverse optical functionalities. However, accurately preserving the structure imposed at the preform stage after drawing it down to fiber, while avoiding Rayleigh–Plateau style instabilities, has proven to be a major fabrication challenge. This modeling/analytical study was carried out in support of an experimental program into possible fabrication options for various microstructured optical fibers and considers the generic case of the nonisothermal drawing of a capillary preform to fiber. Model development was carried out in two stages. Initially, a fully conjugate multiphase model, which includes all heat transfer modes within an operational fiber drawing furnace, was validated against available experimental data. To evaluate the external radiative heat flux using the net-radiation method, a Monte Carlo ray-tracing (MC-RT) method was coupled to the commercial polyflow package to obtain all view factors between the various furnace walls and the deforming preform/fiber. A simplified model was also developed (to shorten simulation run times) by explicitly calculating the convective heat transfer between the air within the furnace and the preform/fiber surface using a heat transfer coefficient determined by matching predicted results with those obtained from the multiphase model.

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Figures

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Fig. 1

Schematic representation of the fiber drawing process

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Fig. 2

Glass tube with a hot-zone window

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Fig. 3

Comparison between the predicted and measured temperature profiles for a solid PMMA preform (Vi = 10 mm/min) when both irises are treated as insulated surfaces. Tsuf and Tct are the preform surface and centerline temperatures, respectively, while the measured temperature profile along the furnace wall (Tw) is shown as a solid line with hollow symbols.

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Fig. 4

Velocity (m/s) vector field in the surrounding hot air (for Fig. 3 case)

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Fig. 5

Temperature (K) contours in the preform and the surrounding air space (for Fig. 3 case)

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Fig. 6

Net heat flux profiles along the preform surface (for Fig.3 case). The axial position has been normalized against the furnace height H; the heat fluxes normalized against qb = σ0Tw4 (the emitted flux from a black surface with the same wall temperature).

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Fig. 7

Comparison of predicted and measured temperature profiles in a solid PMMA preform (Vi = 10 mm/min) when heat loss is considered at both irises

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Fig. 8

Net heat flux profiles along the preform surface (for Fig.7 case)

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Fig. 9

Temperature (K) contours within the preform and in the surrounding air (for Fig. 7 case)

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Fig. 10

Velocity (m/s) field in the surrounding air space (for Fig. 7 case)

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Fig. 11

Axial temperature profiles and neck-down shape when the external radiative heat transfer is calculated with and without numerical evaluation of view factors for a solid PMMA preform drawn to fiber; Rp = 6 mm, Vi = 6 mm/min, Tset = 473 K, and Dr = 535

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Fig. 12

Predicted (a) temperature (K) contours and (b) flow streamlines and velocity (m/s) contour in the preform and the surrounding air space (for Fig. 10 case)

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Fig. 13

Neck-down shape and preform temperature profile predicted by the multiphase and single-phase models when drawing a PMMA preform (initial radius Rp = 2.5 mm) containing an indium core (initial radius rc = 0.125 mm) to fiber at Vi = 6 mm/min, Dr = 2500, and Tset = 503 K

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Fig. 14

Measured temperature profiles along the furnace wall and in the air phase, along with the fitted air temperature profile obtained from Eq. (26)

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Fig. 15

Predicted preform/fiber axial temperature profiles from the single-phase (using the correlation (28) with different values of c and d) and multiphase models (for Fig. 13 case)

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Fig. 16

Centerline and surface temperature profiles Tsuf and Tct as predicted by the single-phase and multiphase models (for Fig. 7 case); measured furnace wall temperature profile and fitted air temperature profile Ta(z) have been included for comparison

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Fig. 17

The mesh structure (left) and the predicted neck-down shape and temperature (K) contours (right) for the multiphase (a) and single-phase (b) models (for the case shown in Fig. 13)

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