Transient heat diffusion with temperature-dependent conductivity and time-dependent heat transfer coefficient

DOI10.1155/2008/347568zbMath1158.80005OpenAlexW2005820501WikidataQ58646162 ScholiaQ58646162MaRDI QIDQ955973

Raseelo J. Moitsheki

Publication date: 24 November 2008

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55248

zbMATH Keywords

Lie algebrainvariant solutionnonlinear heat diffusion

Mathematics Subject Classification ID

Thermodynamics of continua (80A17)

Related Items (7)

Linear evolution equations on the half-line with dynamic boundary conditions ⋮ Analytical solution of heat conduction for hollow cylinders with time-dependent boundary condition and time-dependent heat transfer coefficient ⋮ The finite volume formulation for 2D second-order elliptic problems with discontinuous diffusion/dispersion coefficients ⋮ Classical Lie point symmetry analysis of nonlinear diffusion equations describing thermal energy storage ⋮ An inverse diffusion problem with nonlocal boundary conditions ⋮ Unsteady temperature field in slabs with different kinds of time-dependent boundary conditions ⋮ Nonlinear diffusion equation with reaction terms: analytical and numerical results

Uses Software

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Cites Work

• Group method solution for solving nonlinear heat diffusion problems
• Classical Lie point symmetry analysis of nonlinear diffusion equations describing thermal energy storage
• Symmetry and integration methods for differential equations
• Symmetries and differential equations
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