The development of a wax layer on the interior wall of a circular pipe transporting heated oil: the effects of temperature-dependent wax conductivity

DOI10.1007/S10665-021-10171-XzbMath1480.76142arXiv2104.14298OpenAlexW3199028644MaRDI QIDQ2062649

John Christopher Meyer, David John Needham, Sophie Lauren Mason

Publication date: 30 December 2021

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.14298

zbMATH Keywords

existenceasymptotic solutionfree boundary problemfinite difference solutionquasi-linear parabolic equationgeneralised Stefan problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Finite difference methods applied to problems in fluid mechanics (76M20) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

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• Free boundary problems of Stephan type with prescribed flux
• On the strong maximum principle for parabolic differential equations
• The development of a wax layer on the interior wall of a circular pipe transporting heated oil

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