Infiltration from supply at constant water content: An integrable model

P. Broadbridge, D. Triadis, J. M. Hill

研究成果: Contribution to journalArticle査読

9 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)193-206
ページ数14
ジャーナルJournal of Engineering Mathematics
64
2
DOI
出版ステータス出版済み - 3 11 2009
外部発表はい

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

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