Non-fourier temperature field in a solid homogeneous finite hollow cylinder |
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Authors: | Gholamali Atefi Mohammad Reza Talaee |
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Institution: | 1.Department of Mechanical Engineering,Iran University of Science and Technology (IUST),Narmak, Tehran,Iran |
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Abstract: | Analytical solution of the non-Fourier Axisymmetric temperature field within a finite hollow cylinder is investigated considering
the Cattaneo-Vernotte constitutive heat flux relation. The solution is found for the most general linear time-independent
boundary conditions. The material is assumed to be homogeneous and isotropic with temperature-independent thermal properties.
The standard method of separation of variables is used. The present solution can be reduced to special problems of interest
by choosing appropriate boundary condition parameters. The solution is applied for two special cases including constant heat
flux and the Gaussian distribution heating of a cylinder, and their respective non-Fourier thermal behavior is studied. |
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