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- W2556483534 abstract "Previous analytical solutions for Stefan solidification problems with nonlinear heat conduction relied on a boundary flux proportional to (1/sqrt{t}). These can now be generalised to analytical series solutions for a large family of boundary fluxes with the same leading-order form, representing significant progress towards analytical treatment of simple casting systems for industrial metal manufacture. Mathematically, these nonlinear Stefan problems are intimately related to integrable solutions of Richards’ equation, governing unsaturated one-phase groundwater flow though soil. For the most general known integrable soil model, it has taken 20 years to move from analytical treatment of a free-surface boundary condition implying constant rainfall to one implying surface saturation. Here the corresponding advances both in theory and efficient algorithms for symbolic computation are utilised directly to generalise the class of boundary fluxes for nonlinear Stefan solidification problems." @default.
- W2556483534 created "2016-11-30" @default.
- W2556483534 creator A5069314625 @default.
- W2556483534 date "2016-08-10" @default.
- W2556483534 modified "2023-09-27" @default.
- W2556483534 title "Leveraging Progress in Analytical Groundwater Infiltration for New Solutions in Industrial Metal Solidification" @default.
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- W2556483534 doi "https://doi.org/10.1007/978-981-10-0962-4_15" @default.
- W2556483534 hasPublicationYear "2016" @default.
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