Steady temperature fields associated with a moving rod in a medium with nonlinear thermal conductivity

DOI10.1016/0020-7225(88)90066-3zbMath0657.73059OpenAlexW1977785078WikidataQ60171557 ScholiaQ60171557MaRDI QIDQ1111077

Colin Atkinson

Publication date: 1988

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(88)90066-3

zbMATH Keywords

matched asymptotic expansionsLaplace equationnonlinear ordinary differential equationKirchhoff transformationSchwarz-Christoffel transformationfar fieldconstant temperaturetwo-dimensional problemconstant speedinner limit of outer solutioninner problemmedium with a temperature dependent thermal diffusivityrectangular rod

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Thermodynamics in solid mechanics (74A15) Heat equation (35K05)

Related Items (3)

Nonlinear diffusion controlled particle growth -- a variational and asymptotic approach ⋮ The Rayleigh problem for nematic liquid crystals: similarity solutions ⋮ Orientational relaxation and flow near boundaries in nematic liquid crystals

Cites Work

• Unnamed Item
• Steady pore pressure profiles associated with a moving trench
• Some qualitative properties of solutions of a generalised diffusion equation
• SOME ASYMPTOTIC RESULTS FOR THE EFFECT OF COMPOSITION-DEPENDENT DIFFUSION ON THE GROWTH RATES OF PRECIPITATE PARTICLES

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