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Stability and Nonlinear Regimes of Flow Over a Saturated Porous Medium : Volume 20, Issue 4 (23/07/2013)

By Lyubimova, T. P.

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Book Id: WPLBN0003989860
Format Type: PDF Article :
File Size: Pages 5
Reproduction Date: 2015

Title: Stability and Nonlinear Regimes of Flow Over a Saturated Porous Medium : Volume 20, Issue 4 (23/07/2013)  
Author: Lyubimova, T. P.
Volume: Vol. 20, Issue 4
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
2013
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Baydina, D. T., Lyubimov, D. V., & Lyubimova, T. P. (2013). Stability and Nonlinear Regimes of Flow Over a Saturated Porous Medium : Volume 20, Issue 4 (23/07/2013). Retrieved from http://www.netlibrary.net/


Description
Description: Institute of Continuous Media Mechanics, Ural Branch of RAS, Perm, Russia. The paper deals with the investigation of stability and nonlinear regimes of flow over the saturated porous medium applied to the problem of stability of water flow over the bottom covered with vegetation. It is shown that the velocity profile of steady plane-parallel flow has two inflection points, which results in instability of this flow. The neutral stability curves, the dependencies of critical Reynolds number and the wave number of most dangerous perturbations on the ratio of porous layer thickness to the total thickness are obtained. The nonlinear flow regimes are investigated numerically by finite difference method. It is found that at supercritical parameter values waves travelling in the direction of the base flow take place.

Summary
Stability and nonlinear regimes of flow over a saturated porous medium

Excerpt
Chang, M. H., Chen, F., and Straughan, B.: Instability of Poiseuille flow in a fluid overlying a porous layer, J. Fluid Mech., 564, 287–303, doi:10.1017/S0022112006001583, 2006.; Chen, F. and Chen, C. F.: Onset of finger convection in a horizontal porous layer underlying a fluid layer, Heat Transf., 110, 403–409, doi:10.1115/1.3250499, 1988.; Ghisalberti, M. and Nepf, H. M.: Mixing layers and coherent structures in vegetated aquatic flows, J. Geophys. Res., 107, 1–11, doi:10.1029/2001JC000871, 2002.; White, B. L. and Nepf, H. M.: Shear instability and coherent structures in shallow flow adjacent to a porous layer, J. Fluid Mech., 593, 1–32, 2007.; Hill, A. A. and Straughan, B.: Poiseuille flow in a fluid overlying a porous medium, J. Fluid Mech., 603, 137–149, doi:10.1017/S0022112008000852, 2008.; Raupach, M. R., Finnigan, J. J., and Brunet, Y.: Coherent Eddies and Turbulence in Vegetation Canopies: The Mixing Layer Analogy, Bound.-Lay. Meteorol., 78, 351–382, 1996.

 

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