Volume & Issue no: Volume 3, Issue 8, August 2014
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Title: |
The influence of two-temperature fractional order generalized thermoelastic diffusion inside a spherical shell |
Author Name: |
DEBARGHYA BHATTACHARYA, MRIDULA KANORIA |
Abstract: |
ABSTRACT
This problem deals with the two-temperature thermo-elasto-diffusion interaction inside a spherical shell in the context of
fractional order generalized thermoelasticity. The inner and outer boundaries of the spherical shell are traction free and
subjected to heating. The chemical potential is also assumed to be a function of time on the boundary of the shell. To obtain the
general solution the integral transform technique is used. The solution obtained in the Laplace transform domain by using a
direct approach. The inversion of the transformed solution is carried out by applying the method of Bellman. Numerical estimates
for thermophysical quantities are obtained for copper like material. The computed result for thermoelastic stresses, conductive
temperature, displacement, mass concentration and chemical potential are shown graphically and the effect of two-temperature
and fractional parameters are discussed.
Keywords: Generalized thermo-elasticity, Fractional order heat equation, thermoelastic diffusion and two-temperature. |
Cite this article: |
DEBARGHYA BHATTACHARYA, MRIDULA KANORIA , "
The influence of two-temperature fractional order generalized thermoelastic diffusion inside a spherical shell" , International Journal of Application or Innovation in Engineering & Management (IJAIEM) ,
Volume 3, Issue 8, August 2014 , pp.
096-108 , ISSN 2319 - 4847.
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