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RESEARCH PAPERS: Radiative Properties

A Quasidependent Scattering Radiative Properties Model for High Density Fiber Composites

[+] Author and Article Information
Siu-Chun Lee

 Applied Sciences Laboratory, Inc., Baldwin Park, CA 91706

J. Heat Transfer 132(2), 023303 (Dec 01, 2009) (8 pages) doi:10.1115/1.4000186 History: Received October 29, 2008; Revised May 14, 2009; Published December 01, 2009; Online December 01, 2009

This paper presents a theoretical model for the radiative properties of fiber composites fabricated of spatially oriented fiber strands that contain closely spaced fibers in the Mie scattering regime. Dependent scattering within the dense fiber strands is accounted for by utilizing the solution of Maxwell’s equations that included the near field interaction of cylindrical waves. Scattering between strands is shown to be uncorrelated due to their macroscopic dimensions compared with the wavelength of the incident radiation. The model is called quasidependent scattering approximation (QDA), as the radiative properties are formulated as the uncorrelated sum of the dependent scattering properties of the constituent fiber strands. The extinction coefficient, scattering coefficient, and scattering phase function are derived for fiber composites of arbitrary internal architecture. The application of the QDA model is demonstrated by means of numerical analyses on two types of fiber composites.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic diagrams of various types of high density fiber composites (32)

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Figure 2

Radiation incident on a layer containing a dense distribution of parallel fibers

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Figure 3

Orientation of the DWL axes relative to the XYZ axes

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Figure 4

Extinction and scattering efficiencies of a single fiber

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Figure 5

(a) Variation in the extinction cross section of a fiber strand with angles of incidence and (b) variation in the scattering cross section of a fiber strand with angles of incidence

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Figure 6

(a) Extinction coefficient of a fiber composite containing unidirectional fiber strands and (b) scattering coefficient of a fiber composite containing unidirectional fiber strands

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Figure 7

(a) Extinction coefficient of a fiber composite containing 0/60/120 fiber strands and (b) scattering coefficient of a fiber composite containing 0/60/120 fiber strands

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