TECHNICAL NOTES
Mar 1, 1985

Drainage Due to Gravity Under Nonlinear Law

Publication: Journal of Irrigation and Drainage Engineering
Volume 111, Issue 1

Abstract

A gravity drainage problem for a horizontal soil stratum underlain by a highly pervious material is analyzed. A non-linear relation between velocity and gradient is assumed. Capillary rise is also taken into account. The general differential equation (non-dimensionalized) for the problem is developed and analytically solved. The degree of drainage as a function of time and the real time of complete drainage are calculated and presented for typical values of the non-linear factor. It is shown that the analyzed non-linear drainage occurs faster compared to linear flow.

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References

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Bernardiner, M. G., Jentov, W. M., Hydrodynamic Theory of Filtration of Anomalous Fluids, Nauka, Moscow, 1975 (in Russian).
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Bird, R. B., Stewart, W. E., Lightfoot, E. N., Transport Phenomena, John Wiley and Sons, Inc., New York, N.Y., 1965.
3.
Foryś, A., “Consolidation of Elastic Layer with Non‐Linear Flow,” Archiwum Hydrotechniki, Vol. 26, 1979, pp. 251–271(in Polish).
4.
Kezdi, A., Handbook of Soil Mechanics, Vol. 1, Elsevier Scientific Publishing Company, Amsterdam, 1974.
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Kutilek, M., “The Filtration of Water in Soils in the Region of the Laminar Flow,” Transactions of the 8th International Congress of Soil Science, Bucuresti, Romania, 1964, Vol. 2, pp. 45–52.
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Soni, J. P., Basak, P., “Drainage due to Gravity Under Non‐Darcy Flow,” Irrigation and Power, No. 1, 1979, pp. 75–79.
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Swartzendruber, D., “Non‐Darcy Flow Behavior in Liquid‐Saturated Porous Media,” Journal of Geophysical Research, Vol. 67, 1962, pp. 5205–5213.
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Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 111Issue 1March 1985
Pages: 89 - 94

History

Published online: Mar 1, 1985
Published in print: Mar 1985

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Authors

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Bogdan Wosiewicz
Lect., Dept. of Land Reclamation, Agricultural University, Poznań, Poland

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