Fluid Mechanics and Its Applications

Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows

Authors: Grigoryev, Yurii N., Ershov, Igor V.

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  • Presents a new dissipative effect that can be used for engineering applications of flow control and laminarization
  • Offers new analytical and numerical approaches to hydrodynamic stability problems
  • A stimulating read for researchers studying flow and stability of molecular gas flows
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  • ISBN 978-3-319-55360-3
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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.

About the authors

Prof. Yurii N. Grigoryev is Doctor in Physics and Mathematics, working at the Institute of Computational Technologies SB RAS, Novosibirsk State University. He is author and co-author of six monographs, four tutorials and more than two hundred scientific papers.His fields of scientific interests are hydrodynamic stability and turbulence, kinetic theory of gases, physical and chemical processes, group methods, mathematical modeling, optimization.In 2014 he received The Academician Petrov Prize of the National Committee on Theoretical and Applied Mechanics of the Russian Academy of Sciences for outstanding studies on hydrodynamic stability theory and turbulence.
Prof. Igor' V. Ershov is also Doctor in Physics and Mathematics, working at the Department of Information Systems and Technologies, Novosibirsk State University of Architecture and Civil Engineering. He is author and co-author of one hundred and twenty scientific papers, one monograph and several tutorials on modern mathematical packages.His fields of scientific interests are hydrodynamic stability and turbulence, kinetic theory of gases, physical and chemical processes, mathematical modeling.In 2014 he received The Academician Petrov Prize of the National Committee on Theoretical and Applied Mechanics of the Russian Academy of Sciences for outstanding studies on hydrodynamic stability theory and turbulence.

Table of contents (7 chapters)

Table of contents (7 chapters)
  • Physico-Mathematical Models of Relaxing Molecular Gas Flows

    Pages 1-34

    Grigoryev, Yurii N. (et al.)

  • Linear Stability of Inviscid Plane-Parallel Flows of Vibrationally Excited Diatomic Gases

    Pages 35-49

    Grigoryev, Yurii N. (et al.)

  • Linear Stability of Supersonic Plane Couette Flow of Vibrationally Excited Gas

    Pages 51-84

    Grigoryev, Yurii N. (et al.)

  • Asymptotic Theory of Neutral Linear Stability Contours in Plane Shear Flows of a Vibrationally Excited Gas

    Pages 85-109

    Grigoryev, Yurii N. (et al.)

  • Energy Theory of Nonlinear Stability of Plane Shear Flows of Thermally Nonequilibrium Gas

    Pages 111-151

    Grigoryev, Yurii N. (et al.)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-319-55360-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
Softcover $149.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows
Authors
Series Title
Fluid Mechanics and Its Applications
Series Volume
117
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-55360-3
DOI
10.1007/978-3-319-55360-3
Hardcover ISBN
978-3-319-55359-7
Softcover ISBN
978-3-319-85638-4
Series ISSN
0926-5112
Edition Number
1
Number of Pages
XXXII, 201
Number of Illustrations
51 b/w illustrations, 2 illustrations in colour
Topics