Calculation of temperature in high-temperature materials is of current interest to engineers, e.g., the aerospace industry encounters cooling problems in aircraft skins during the flight of high-speed air vehicles and in high-Mach-number reentry of spacecraft. In general, numerical techniques are used to deal with conduction in composite materials. This study uses the exact series solution to predict the temperature distribution in a two-layer body: one orthotropic and one isotropic. Often the exact series solution contains an inherent singularity at the surface that makes the computation of the heat flux difficult. This singularity is removed by introducing a differentiable auxiliary function that satisfies the nonhomogeneous boundary conditions, Finally, an inverse heat conduction technique is used to predict surface temperature and/or heat flux.
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Research Papers
Exact Solution of Heat Conduction in Composite Materials and Application to Inverse Problems
C. Aviles-Ramos,
C. Aviles-Ramos
Department of Mechanical and Aerospace Engineering, The University of Texas at Arlington, Arlington, TX 76019-0023
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A. Haji-Sheikh,
A. Haji-Sheikh
Department of Mechanical and Aerospace Engineering, The University of Texas at Arlington, Arlington, TX 76019-0023
e-mail: haji@mecad.uta.edu
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J. V. Beck
J. V. Beck
Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824-1226
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C. Aviles-Ramos
Department of Mechanical and Aerospace Engineering, The University of Texas at Arlington, Arlington, TX 76019-0023
A. Haji-Sheikh
Department of Mechanical and Aerospace Engineering, The University of Texas at Arlington, Arlington, TX 76019-0023
e-mail: haji@mecad.uta.edu
J. V. Beck
Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824-1226
J. Heat Transfer. Aug 1998, 120(3): 592-599 (8 pages)
Published Online: August 1, 1998
Article history
Received:
August 18, 1997
Revised:
April 16, 1998
Online:
December 5, 2007
Citation
Aviles-Ramos, C., Haji-Sheikh, A., and Beck, J. V. (August 1, 1998). "Exact Solution of Heat Conduction in Composite Materials and Application to Inverse Problems." ASME. J. Heat Transfer. August 1998; 120(3): 592–599. https://doi.org/10.1115/1.2824316
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