Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows

  • Yurii N. Grigoryev
  • Igor V. Ershov

Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 117)

Table of contents

  1. Front Matter
    Pages i-xxxii
  2. Yurii N. Grigoryev, Igor V. Ershov
    Pages 1-34
  3. Yurii N. Grigoryev, Igor V. Ershov
    Pages 153-169
  4. Yurii N. Grigoryev, Igor V. Ershov
    Pages 171-198
  5. Back Matter
    Pages 199-201

About this book


This book presents an in-depth systematic investigation of a dissipative effect which manifests itself as the growth of hydrodynamic stability and suppression of turbulence in relaxing molecular gas flows. 

The work describes the theoretical foundations of a new way to control stability and laminar turbulent transitions in aerodynamic flows. It develops hydrodynamic models for describing thermal nonequilibrium gas flows which allow the consideration of suppression of inviscid acoustic waves in 2D shear flows. Then, nonlinear evolution of large-scale vortices and Kelvin-Helmholtz waves in relaxing shear flows are studied. Critical Reynolds numbers in supersonic Couette flows are calculated analytically and numerically within the framework of both linear and nonlinear classical energy hydrodynamic stability theories. The calculations clearly show that the relaxation process can appreciably delay the laminar-turbulent transition. The aim of the book is to show the new dissipative effect, which can be used for flow control and laminarization.

This volume will be of interest and useful to mechanical engineers, physicists, and mathematicians who specialize in hydrodynamic stability theory, turbulence, and laminarization of flows.


hydrodynamic instability thermal relaxation two-temperature hydrodynamics Landau-Teller equation critical Reynolds number Kelvin-Helmholts waves Plane molecular shear flows

Authors and affiliations

  • Yurii N. Grigoryev
    • 1
  • Igor V. Ershov
    • 2
  1. 1.Institute of Computational TechnologiesRussian Academy of SciencesNovosibirskRussia
  2. 2.Institute of Computational TechnologiesRussian Academy of Sciences, Institute of Computational TechnologiesNovosibirskRussia

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-55359-7
  • Online ISBN 978-3-319-55360-3
  • Series Print ISSN 0926-5112
  • Series Online ISSN 2215-0056
  • Buy this book on publisher's site
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