PHYSICAL INTERPRETATION OF THE DIFFUSION EQUATION PARAMETERS ACCORDING TO MARKOV'S STOCHASTIC PROCESSES THEORY
作者:
C. LAROUSSI,
L. BACKER,
期刊:
Soil Science
(OVID Available online 1975)
卷期:
Volume 120,
issue 3
页码: 169-173
ISSN:0038-075X
年代: 1975
出版商: OVID
数据来源: OVID
摘要:
This study deals with the derivation of the diffusion equation by considering the displacement of a fluid particle through an unsaturated porous medium as a Markov's stochastic process.The comparison of this equation with that obtained from the combination of Darcy's generalized equation and the equation of continuity allows us to find the physical significance of the diffusivity coefficient D as well as its partial derivative (ð D)/(ðx).The physical interpretation of these parameters may be related to the boundary conditions of the flow phenomenon and enables us to determine the field of application and the validity limits of the diffusion theory.
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