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Bessel Composite Function of the Third Order and First Kind Solution to Damped Wave Conduction and Relaxation

[+] Author Affiliations
Kal Renganathan Sharma

Prairie View A&M University, Prairie View, TX

Paper No. HT2008-56123, pp. 259-263; 5 pages
doi:10.1115/HT2008-56123
From:
  • ASME 2008 Heat Transfer Summer Conference collocated with the Fluids Engineering, Energy Sustainability, and 3rd Energy Nanotechnology Conferences
  • Heat Transfer: Volume 1
  • Jacksonville, Florida, USA, August 10–14, 2008
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 978-0-7918-4847-0 | eISBN: 0-7918-3832-3
  • Copyright © 2008 by ASME

abstract

The damped wave conduction and relaxation equation in three dimenions in spherical coordinates was solved for by using the relativistic transformation. Approximate analytical solutions were obtained in the creeping transfer limit in spherical infinite coordinates. The solution consist of three regimes. A inertial zero transfer regime. A second regime that is characterized by the Bessel composite function of the third order and first kind. The third regime is characterized by the modified composite function of the third order and first kind. Without the creeping transfer limit assumption the order of the Bessel composite solution can be seen to be 7/2.

Copyright © 2008 by ASME

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