Exact analytical solution for 3D time-dependent heat conduction in a multilayer sphere with heat sources using eigenfunction expansion method

DOI10.1155/2014/708723zbMath1429.74039OpenAlexW2008392881WikidataQ42115990 ScholiaQ42115990MaRDI QIDQ1727683

Nemat Dalir

Publication date: 20 February 2019

Published in: International Scholarly Research Notices. Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/708723

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Composite and mixture properties (74E30) Thermal effects in solid mechanics (74F05) Basic methods in thermodynamics and heat transfer (80M99) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (1)

Detection of time-varying heat sources using an analytic forward model

Cites Work

• An analytical method to solve heat conduction in layered spheres with time-dependent boundary conditions
• An exact analytical solution for two-dimensional, unsteady, multilayer heat conduction in spherical coordinates
• Transient analytical solution to heat conduction in composite circular cylinder
• Transient conduction in a two-dimensional composite slab. I: Theoretical development of temperature modes
• Transient conduction in a three-dimensional composite slab
• Transverse eigenproblem of steady-state heat conduction for multidimensional two-layered slabs with automatic computation of eigenvalues
• Temperature solution in multi-dimensional multi-layer bodies

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