Eigenfunction expansions for transient diffusion in heterogeneous media

DOI10.1016/j.ijheatmasstransfer.2009.04.014zbMath1176.80033OpenAlexW1985409159MaRDI QIDQ1038216

Carolina P. Naveira-Cotta, Renato M. Cotta, Olivier Fudym, Helcio R. B. Orlande

Publication date: 17 November 2009

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11422/8739

zbMATH Keywords

diffusionintegral transformsheat conductionheterogeneous mediaSturm-Liouville problemsvariable physical properties

Mathematics Subject Classification ID

Related Items (4)

Nonlinear eigenvalue problem in the integral transforms solution of convection-diffusion with nonlinear boundary conditions ⋮ Inverse analysis with integral transformed temperature fields: identification of thermophysical properties in heterogeneous media ⋮ Unstable mixed convection in a heated inclined porous channel ⋮ Space-variable thermophysical properties identification in nanocomposites via integral transforms, Bayesian inference and infrared thermography

Uses Software

• Mathematica

Cites Work

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• Computational procedure for Sturm-Liouville problems
• Benchmark results in computational heat and fluid flow: The integral transform method
• Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method
• Automatic Solution of the Sturm-Liouville Problem
• Integral transform solution of eigenvalue problems
• Eigenvalue and eigenfunction computations for Sturm-Liouville problems
• On the reduction of computational costs in eigenfunction expansions of multidimensional diffusion problems
• On the eigenvalues basic to the analytical solution of convective heat transfer with axial diffusion effects

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