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Towards the problem of hydrodynamic stability of plane‐parallel dusty‐gas flows
Author(s) -
Osiptsov Alexander,
Boronin Sergei
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700517
Subject(s) - orthogonalization , stability (learning theory) , flow (mathematics) , plane (geometry) , linear stability , mechanics , mathematics , physics , mathematical analysis , computer science , instability , geometry , machine learning
Several modifications of the classical Saffman formulation of the dusty‐gas flow linear stability problem are considered. Dispersed flows are described by a two‐fluid model. Linear stability problems are reduced to the solution of modified Orr‐Sommerfeld equations which are solved by the orthogonalization method. It is shown, that the additional factors taken into account in the problem formulation affect significantly the flow stability limits. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)