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Exact Solution of Two-Dimensional Hyperbolic Heat Conduction Equation With Combined Boundary Conditions and Arbitrary Initial Conditions

[+] Author Affiliations
Seyed Reza Mahmoudi, Nikola Toljic

University of Western Ontario, London, ON, Canada

Paper No. HT2009-88640, pp. 1021-1024; 4 pages
doi:10.1115/HT2009-88640
From:
  • ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences
  • Volume 1: Heat Transfer in Energy Systems; Thermophysical Properties; Heat Transfer Equipment; Heat Transfer in Electronic Equipment
  • San Francisco, California, USA, July 19–23, 2009
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 978-0-7918-4356-7 | eISBN: 978-0-7918-3851-8
  • Copyright © 2009 by ASME

abstract

Analytical solution of hyperbolic heat conduction equation has so far been limited only to one-dimensional frameworks. With the expanding of the application range for the fast heat sources in microelectronic industries, the two-dimensional solution of non-Fourier heat conduction becomes increasingly important. This paper presents an exact solution of hyperbolic heat conduction equation for a finite plane with sides subjected to combined boundary conditions. In the mathematical model, the heating on boundaries is treated as an apparent heat source whereas sides of the plane with the second kind boundaries are assumed to be insulated. The important characteristic of the proposed solution is its simplicity.

Copyright © 2009 by ASME

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