Analytic transient solutions of a cylindrical heat equation with oscillating heat flux

作者：Kung Kuang Yuan; Srivastava H M^*

来源：Applied Mathematics and Computation, 2008, 195(2): 745-753.

DOI：10.1016/j.amc.2007.05.019

• heat conduction
• analytical temperature distribution
• oscillatory heat flux
• sturm-liouville problem
• partial differential equations
• Bessel functions
• initial and boundary conditions
• transcendental equations
• Fourier-Bessel series

Analytical transient solutions of a two-dimensional heat equation with oscillating heat flux are obtained by the method of separation of variables. In the analysis presented here, the partial differential equation is directly transformed into a set of ordinary differential equations. The closed-form transient temperature distributions and heat transfer rates are generalized for a linear combination of the products of the Fourier-Bessel series of the exponential type.

• 出版日期2008-2-1