Non-Fourier heat conduction in a finite hollow cylinder with periodic surface heat flux |
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Authors: | Mohammad Reza Talaee Gholamali Atefi |
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Institution: | (1) Department of Mechanical Engineering, Tarbiat Modares University, Tehran, 14155-4838, Iran |
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Abstract: | Analytical solution of the non-Fourier axisymmetric temperature field within a finite hollow cylinder exposed to a periodic
boundary heat flux is investigated. The problem studied considering the Cattaneo–Vernotte (CV) constitutive heat flux relation.
The material is assumed to be homogeneous and isotropic with temperature-independent thermal properties. The standard method
of separation of variables is used for solving the problem with time-independent boundary conditions, and the Duhamel integral
is used for applying the time dependency. The solution is applied for the special cases of harmonic uniform heat flux and
an exponentially pulsed heat flux with Gaussian distribution in outer surface for modeling a laser pulse, and their respective
non-Fourier thermal behavior is studied. |
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Keywords: | |
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