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Steady-Periodic Green’s Functions and Thermal-Measurement Applications in Rectangular Coordinates

[+] Author Affiliations
Kevin D. Cole

University of Nebraska at Lincoln

Paper No. IMECE2005-79919, pp. 459-468; 10 pages
doi:10.1115/IMECE2005-79919
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Heat Transfer, Part B
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 0-7918-4222-3 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

Two-dimensional steady-periodic heat transfer in rectangles, slabs, and semi-infinite bodies is treated with the method of Green’s functions. The application is the measurement of thermal properties. Several types of boundary conditions are treated systematically, including convection conditions and boundaries containing a thin, high-conductivity film. Alternate forms of the Green’s function are given for several geometries, which allow for independent verification of numerical values. The method may be extended to multilayer bodies. Numerical examples are given for the steady-periodic response to a strip heater.

Copyright © 2005 by ASME
Topics: Functions

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