Electric circuit model of hydrodynamic flows in porous medium

The electric circuit model of hydrodynamic flows in porous media is suggested. Themain equations of the model are deduced in the continuous limit, the validity of thenonlinear Darcy - Ohm law being supposed. The linear stability of flows is studied andthe critical velocity defining the stability threshold is estimated. © 2013 by Nova Science Publishers, Inc. All rights reserved.

Authors
Lukerchenko V.N. 1 , Maslov D.N. 1 , Rybakov Y.P. 2, 3 , Shabalina T.M. 1 , Shikin G.N. 2 , Yanushkevich V.A. 1
Collection of articles
Mathematical Models of Non-linear Phenomena, Processes and Systems: From Molecular Scale to Planetary Atmosphere
Publisher
Nova Science Publishers, Inc.
Language
English
Pages
217-224
State
Published
Year
2013
Organizations
  • 1 Conversion, Ltd, Moscow region, Russian Federation
  • 2 Peoples' Friendship University of Russia, Department of Theoretical Physics, Moscow, Russian Federation
  • 3 6 Mikluho-Maklay str, 117198 Moscow, Russian Federation
Keywords
Critical velocity; Darcy - Ohm law; Porous media; Stability of flows
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