Solution of Non-Fourier Temperature Field in a Hollow Sphere under Harmonic Boundary Condition

Abstract:

Analytical solution of the axisymmetric two-dimensional non-Fourier temperature field within a hollow sphere is investigated considering Cattaneo-Vernotte constitutive equation with general time-dependent heat flux. The material is assumed to be homogeneous and isotropic with temperature-independent thermal properties. The method of solution is the standard separation of variables method. Duhamel integral is used for applying the time-dependent boundary conditions. The presented solution is applied to special case of harmonic heat flux on outer surface.

• Periodical: Applied Mechanics and Materials (Volume 772)
• Pages: 197-203
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.772.197
• Online since: July 2015
• Authors: Amin Bahrami, Siamak Hosseinzadeh, Ramin Ghasemiasl, Morteza Radmanesh
• Keywords: Analytical Solution, Dependent Heat Flux Non-Fourier Conduction, Time-Dependent Heat Flux

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