Explicit solution of a free boundary problem for a nonlinear absorption model of mixed saturated-unsaturated flow

Advances in Water Resources

Volumn 21, Issue 8, 1998, Pages 713-721

  Briozzo, Adriana C ^a   Tarzia, Domingo A ^a  

^a UNIVERSIDAD AUSTRAL   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

ABSORPTION; BIFURCATION (MATHEMATICS); DIFFUSION IN SOLIDS; HYDROLOGY; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PROBLEM SOLVING; SOILS;

FREE BOUNDARY PROBLEMS; NONLINEAR ABSORPTION MODEL;

FLOW OF WATER;

FLUID FLOW; SOIL;

FLUID FLOW; SOIL;

EID: 0032124972     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0309-1708(97)00026-2     Document Type: Article

References (8)

1. 1. Broadbridge, P. Solution of a nonlinear absorption model of mixed saturated-unsaturated flow. Water Resources Research, 1990, 26, 2435-2443.
2. 2. Broadbridge, P. & White, I. Constant rate rainfall infiltration: A versatile nonlinear model. 1. Analytic solutions. Water Resources Research, 1988, 24, 145-154.
3. 3. Knight, J. H. & Philip, J. R. Exact solutions in nonlinear difussion. J. Eng. Math., 1974, 8, 219-227.
4. 4. Philip, J. R. The theory of infiltration. 4. Sorptivity and algebraic infiltration equations. Soil. Sci., 1957, 84, 257-264.
5. 5. Philip, J. R. The theory of infiltration. 5. The influence of the initial moisture content. Soil. Sci., 1958, 85, 329-339.
6. 6. Philip, J. R. The theory of infiltration. 6. Effect of water depth over soil. Soil. Sci., 1958, 85, 278-286.
7. 7. Tarzia, D. A., A bibliography on moving-free boundary problems for the heat-difussion equation. The Stefan problem. Progetto Nazionale M. P. I., Equazione di evoluzione e applicazioni fisico-matematiche, Firenze, 1988 (with 2528 references). An updated one will give at the end of 1997 with more than 5000 on the subject.
8. 8. Warrick, A. W. & Broadbridge, P. Sorptivity and macroscopic capillary length relationship. Water Resources Research, 1992, 28, 427-431.