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DIVISION S-1-SOIL PHYSICS

Exact solution for horizontal water redistribution by general similarity

^a National Lab. of Soil Erosion and Dryland Agriculture, Inst. of Soil and Water Conservation, Chinese Academy of Sciences and Ministry of Water Resources, Yangling, Shaanxi, People's Republic of China 712100
^b Dep. of Agronomy, Iowa State Univ., Ames, IA 50011 USA

rhorton{at}iastate.edu

This paper presents an exact solution to horizontal water redistribution by using general similarity theory. A power function of soil water diffusivity is used to derive the exact solution. The similarity solution contains initial wetted length, amount of water present, and coefficients of water diffusivity. A similarity solution for a step function initial condition is compared with a corresponding numerical solution. Error analysis indicates that the maximum global error in water content is within 2%. The general similarity theory provides an approach that exactly solves horizontal water redistribution with a variable first-type boundary of a specific form of time dependence and initial conditions; the Boltzmann transformation case is restricted to a horizontal infiltration problem with constant first-type boundary and initial conditions.

This article has been cited by other articles:

				J.-Y. Parlange, D. Lockington, G. Sander, W.L. Hogarth, D.A. Barry, L. Li, M.B. Parlange, R.S. Govindaraju, M. Shao, and R. Horton Comments on ""Exact Solution for Horizontal Redistribution by General Similarity"" Soil Sci. Soc. Am. J., May 1, 2001; 65(3): 957 - 959. [Full Text] [PDF]

				E.G. Youngs, M. Shao, and R. Horton Comments on ""Exact Solution for Horizontal Water Redistributions by General Similarity"" Soil Sci. Soc. Am. J., May 1, 2001; 65(3): 960 - 961. [Full Text] [PDF]