ISSN:
1573-2754
Keywords:
horizontal diffusion equation
;
unsaturated water flow
;
analytics
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
Abstract This paper discusses the analytic solutions of the diffusion equation for the movement of water in unsaturated soil. Firstly, according to the experience relation between the diffusivity “D(0)” and water content in soil “0”, and through variable substitution, the original diffusion equation is converted into the form easy to solve. Then, the variables separation method together with the Boltzmann transform method is used to find out the solution of the new partial differential equation. So the analytic function of 0(x, t) is obtained, which is verified by the experiment of water flow through unsaturated soil.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00127012
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