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Fractional Order Thermoelastic Waves of Cylindrical Gold Nano-Beam

[+] Author Affiliations
Hamdy M. Youssef, Khaled A. Elsibai

Umm Al-Qura University, Makkah, Saudi Arabia

Alaa A. El-Bary

Arab Academy of Science and Technology, Alexandria, Egypt

Paper No. IMECE2013-62876, pp. V08CT09A010; 5 pages
doi:10.1115/IMECE2013-62876
From:
  • ASME 2013 International Mechanical Engineering Congress and Exposition
  • Volume 8C: Heat Transfer and Thermal Engineering
  • San Diego, California, USA, November 15–21, 2013
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5636-9
  • Copyright © 2013 by ASME

abstract

In this work, a mathematical model of cylindrical nano-beam with constant elastic parameters with fractional order heat conduction will be constructed. The governing equations of the mathematical model will be taken when the beam is quiescent first. Laplace transforms techniques will be used to get the general solution for any set of boundary conditions. The solution will be obtained for a certain model when the beam is subjected to thermal load. Inversion of Laplace transforms will be obtained numerically, and the results will be presented graphically with some comparisons to study the impact of thermal load and the effect of the fractional order parameter on the speed of progress of mechanical and thermal waves through the beam.

Copyright © 2013 by ASME
Topics: Waves

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