Improved lumped models for transient heat conduction in a slab with temperature-dependent thermal conductivity

DOI10.1016/J.APM.2007.11.007zbMath1167.80368OpenAlexW2079279931MaRDI QIDQ838264

Jian Su, Zheng Tan, Ge Su

Publication date: 24 August 2009

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2007.11.007

zbMATH Keywords

nonlinear heat conductiontemperature-dependent thermal conductivitytransient heat conductionlumped models

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thermal effects in solid mechanics (74F05)

Related Items (1)

Numerical solution of transient heat conduction equation with variable thermophysical properties by the Tau method

Cites Work

• Coupled integral equation approach for solving phase-change problems in a finite slab
• Application of a lumped model to solids with linearly temperature-dependent thermal conductivity
• Two point Hermite approximations for the solution of linear initial value and boundary value problems
• Enhanced lumped-differential formulations of diffusion problems
• Comparison between the modal identification method and the POD-Galerkin method for model reduction in nonlinear diffusive systems

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