Axisymmetric non-Fourier temperature field in a hollow sphere

作者：Moosaie Amin^*

来源：Archive of Applied Mechanics, 2009, 79(8): 679-694.

DOI：10.1007/s00419-008-0245-2

• Non-Fourier conduction
• Hyperbolic conduction
• Hollow sphere
• Analytical solution

The non-Fourier axisymmetric (2+1)-dimensional temperature field within a hollow sphere is analytically investigated by the solution of the well-known Cattaneo-Vernotte hyperbolic heat conduction equation. 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. General linear time-independent boundary conditions are considered. Ultimately, the presented solution is applied to a (1+1)-as well as a (2+1)-dimensional problem, and their respective non-Fourier thermal behavior is studied. The present solution can be reduced to special cases of interest by choosing appropriate boundary conditions parameters.

• 出版日期2009-8