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On the non-steady motion of visco-plastic liquids in porous media

Published online by Cambridge University Press:  28 March 2006

St. I. Gheorghitza
St. I. Gheorghitza
Affiliation:
Faculty of Mathematics and Mechanics, University of Bucharest
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Abstract

The previous works on the motions of visco-plastic fluids in porous media are generalized in order to include the phenomenon of hysteresis. Only slowly varying motions are studied to any extent, when all inertial terms can be neglected without appreciable error. A general equation is deduced and some features of the motion are discussed. Simple particular cases without free or seepage surfaces are considered, when the fluid moves in the whole porous medium. A plane example points out the existence of different regions of motion during the variation of the heads in upper and lower water reservoirs. The necessity of further research on the flow of visco-plastic fluids through porous media is emphasized.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 20 , Issue 2 , October 1964 , pp. 273 - 280
Copyright
© 1964 Cambridge University Press

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References

Gheorghitza, St. I. 1959 Quart. J. Mech. Appl. Math. 12, 280.
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