Analytic transient solutions of a cylindrical heat equation with a heat source

作者：Chiang Ko Ta; Kung Kuang Yuan; Srivastava H M^*

来源：Applied Mathematics and Computation, 2009, 215(8): 2877-2885.

DOI：10.1016/j.amc.2009.09.030

• Heat conduction
• Analytical temperature distribution
• Sturm-Liouville problem
• Initial and boundary conditions
• Transcendental equations
• Fourier-Bessel series
• Bessel functions

The method of separation of variables is applied in order to investigate the analytical solutions of a certain two-dimensional cylindrical heat equation. In the analysis presented here, the partial differential equation is directly transformed into ordinary differential equations. The closed-form transient temperature distributions and heat transfer rates are generalized for a linear combination of the products of Fourier-Bessel series of the exponential type. Relevant connections with some other closely-related recent works are also indicated.

• 出版日期2009-12-15