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Research Papers: Radiative Heat Transfer

Numerical Determination of Radiative View Factors Using Ray Tracing

[+] Author and Article Information
T. Walker, S.-C. Xue

School of Chemical and Biomolecular Engineering, University of Sydney, New South Wales 2006, Australia

G. W. Barton

School of Chemical and Biomolecular Engineering, University of Sydney, New South Wales 2006, Australiagbarton@usyd.edu.au

J. Heat Transfer 132(7), 072702 (Apr 28, 2010) (6 pages) doi:10.1115/1.4000974 History: Received May 31, 2009; Revised November 26, 2009; Published April 28, 2010; Online April 28, 2010

A ray-tracing method is presented for numerically determining radiative view factors in complex three-dimensional geometries. This method uses a set of “primitive” shapes to approximate the required geometry together with a Monte Carlo simulation to track the fate of randomized rays leaving each surface. View factors were calculated for an operational fiber drawing furnace using both numerical integration and ray-tracing methods. Calculated view factor profiles were essentially identical above a ray density of 105 per unit area. Run times for the ray-tracing method were considerable longer, although the setup time to describe a new geometry is very short and essentially independent of system complexity.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 4

View factors from three positions (zp=0.0095,0.0895,0.1695) on the preform to the furnace wall (ρ=104 per unit area; cylindrical preform)

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Figure 5

View factors from three positions (zp=0.0095,0.0895,0.1695) on the preform to the furnace wall (ρ=105 per unit area; cylindrical preform)

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Figure 6

View factors from three positions (zf=0.0095,0.0895,0.1695) on the furnace wall to the preform surface (left) and itself (right) (ρ=105 per unit area; cylindrical preform)

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Figure 7

Net radiative heat flux profiles along a stationary cylindrical preform within a furnace with a uniform heating wall temperature; two different thermal boundary conditions are used for the irises

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Figure 1

Configuration for radiative heat exchange between two finite surfaces

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Figure 2

Procedure for transforming a ray to find ray-object intersection

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Figure 3

Schematic diagram of fiber drawing furnace

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Figure 8

View factors from three positions (zp=0.0095,0.0895,0.1695) on the preform to the furnace wall (ρ=105 per unit area; Dr=9)

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Figure 9

View factors from three positions (zp=0.0095,0.0895,0.1695) on the preform to the furnace wall (ρ=105 per unit area; Dr=900).

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Figure 10

View factors from three positions (zf=0.0095,0.0895,0.1695) on the furnace wall to the preform and to itself (ρ=105 per unit area; Dr=9)

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Figure 11

View factors from three positions (zf=0.0095,0.0895,0.1695) on the furnace wall to the preform and to itself (ρ=105 per unit area; Dr=900)

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