Stability to Finite Disturbances: Energy Method and Landau’s Equation View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2012

AUTHORS

Akiva M. Yaglom , Uriel Frisch

ABSTRACT

The main part of Chap. 2 and the whole of Chap. 3 were devoted to topics of linear stability theory dealing with the evolution of very small flow disturbances satisfying the linearized fluid dynamics equations. In Chap. 2 it was shown that the classical normal-mode method of the linear theory of hydrodynamic stability often leads to results which strongly disagree with experimental data. It was also indicated there that these disagreements are apparently due to nonlinear effects, which make linearization of the equations of motion physically unjustified. In Chap. 3 it was explained that the necessity for consideration of the full nonlinear dynamic equations often follows from the fact that many solutions of the initial-value problems for linearized fluid dynamics equations grow considerably at small and moderate values of the time t even in the cases when the normal-mode analysis shows that these solutions decay asymptotically (i.e. at t → ∞). More... »

PAGES

291-464

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  • Book

    TITLE

    Hydrodynamic Instability and Transition to Turbulence

    ISBN

    978-94-007-4236-9
    978-94-007-4237-6

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-94-007-4237-6_4

    DOI

    http://dx.doi.org/10.1007/978-94-007-4237-6_4

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1014892130


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