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Technical Briefs

Inverse Heat Conduction in a Composite Slab With Pyrolysis Effect and Temperature-Dependent Thermophysical Properties

[+] Author and Article Information
Jianhua Zhou, J. K. Chen, Z. C. Feng

Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO 65211

Yuwen Zhang1

Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO 65211zhangyu@missouri.edu

1

Corresponding author.

J. Heat Transfer 132(3), 034502 (Dec 28, 2009) (3 pages) doi:10.1115/1.4000050 History: Received February 17, 2009; Revised July 14, 2009; Published December 28, 2009; Online December 28, 2009

The inverse heat conduction problem (IHCP) in a one-dimensional composite slab with rate-dependent pyrolysis chemical reaction and outgassing flow effects is investigated using the iterative regularization approach. The thermal properties of the composites are considered to be temperature-dependent. A nonlinear conjugate gradient method formulation is developed and applied to solve the IHCP in an organic composite slab whose front-surface is subjected to high intensity periodic laser heating.

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Figures

Grahic Jump Location
Figure 2

Heat sources and recovered temperatures for the case where the interior temperature sensor is located at x1=L/3 and the frequency of the periodic laser heating is f=2 Hz

Grahic Jump Location
Figure 3

Positions of interior temperature sensor as a function of periodic heating frequency

Grahic Jump Location
Figure 4

Recovered temperatures for composite material whose thermal properties include 5% random errors (frequency f=5 Hz, single interior temperature sensor is used at x1=L/10)

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