Analytical solution for one-dimensional non-Darcy flow with bilinear relation in porous medium caused by line source

DOI10.1016/j.amc.2020.125674zbMath1464.76200OpenAlexW3092024144MaRDI QIDQ2662529

Liying Zhang, Tao Wang, Yang Zhou

Publication date: 14 April 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125674

zbMATH Keywords

finite volume methodsimilarity solutionone-phase free-boundary problem

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12)

Uses Software

• DLMF

Cites Work

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• The Stefan solidification problem with nonmonotonic nonlinear heat diffusivity
• Analytical solution for one-dimensional radial flow caused by line source in porous medium with threshold pressure gradient
• Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions
• An analytical solution for a Stefan problem with variable latent heat
• An explicit solution for an instantaneous two-phase Stefan problem with nonlinear thermal coefficients
• Exact solutions of nonlinear boundary value problems of the Stefan type
• Consolidation with threshold gradients

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