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https://hdl.handle.net/2440/63994
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Type: | Journal article |
Title: | Infiltration from supply at constant water content: an integrable model |
Author: | Broadbridge, P. Triadis, D. Hill, J. |
Citation: | Journal of Engineering Mathematics, 2009; 64(2):193-206 |
Publisher: | Kluwer Academic Publ |
Issue Date: | 2009 |
ISSN: | 0022-0833 1573-2703 |
Statement of Responsibility: | P. Broadbridge, D. Triadis and J. M. Hill |
Abstract: | An integrable version of Richards’ equation for time-dependent unidimensional flow in unsaturated soil is subjected to boundary conditions of constant water content. The nonlinear boundary problem is transformed to a linear diffusion problem with modified Stefan boundary conditions. A formal series is developed, leading to successive approximations to the solution at early times. Each additional term of the series for the location of the free boundary in the transformed problem leads directly to another coefficient in the Philip infiltration series in the original problem. |
Keywords: | Infiltration Integrable model Kummer functions Series methods Similarity solutions |
Rights: | © Springer Science+Business Media B.V. 2009 |
DOI: | 10.1007/s10665-009-9280-4 |
Published version: | http://dx.doi.org/10.1007/s10665-009-9280-4 |
Appears in Collections: | Aurora harvest Mathematical Sciences publications |
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