An analytical method to solve heat conduction in layered spheres with time-dependent boundary conditions. (English) Zbl 1234.74021

Summary: An analytical method is proposed to solve the equation of heat conduction in a layered sphere subject to a time-dependent boundary temperature. It is well known that for such problems in general, eigenvalue and residue computation poses a challenge, which can become too complicated to handle with many layers. In this Letter, the proposed analytical method is free of eigenvalue and residue calculations. A closed-form approximate solution is derived with high accuracy.


74F05 Thermal effects in solid mechanics
74E30 Composite and mixture properties
80A20 Heat and mass transfer, heat flow (MSC2010)
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