The Resource Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows, by Yurii N. Grigoryev, Igor V. Ershov, (electronic resource)
Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows, by Yurii N. Grigoryev, Igor V. Ershov, (electronic resource)
 Summary
 This book presents an indepth 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 largescale vortices and KelvinHelmholtz 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 laminarturbulent 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
 Language
 eng
 Extent
 XXXII, 201 p. 53 illus., 2 illus. in color.
 Contents

 Preface
 Introduction
 Thermal Relaxation and stability of molecular gas flows
 1. Physicomathematical models of relaxing molecular gas flows
 Elements of physical kinetics
 Systems of equations of relaxation gas dynamics
 Parameters of thermal relaxation in diatomic gases
 Absorption of acoustic waves in the relaxation process
 2. Linear Stability of inviscid planeparallel flows of vibrationally excited diatomic gases
 Equations of the linear stability theory
 Some general necessary conditions of instability growth
 Growth rates and eigenfunctions of unstable inviscid modes in a free shear flow
 3. Linear stability of supersonic plane Couette flow of vibrationally excited gas
 Statement of problem and basic equations
 Inviscid stability problem
 Linear stability of supersonic Couette flow at finite Reynolds numbers
 4. Asymptotic theory of neutral linear stability contours in plane shear flows of a vibrationally excited gas
 Asymptotic solutions of linear stability equations
 Asymptotics of a neutral stability curve of the supersonic Couette flow of a vibrationally excited gas
 5. Energy theory of nonlinear stability of plane shear flows of thermally nonequilibrium gas
 Energy Stability analysis of a plane compressible flow. Effect of a bulk viscosity
 Energy stability analysis of a plane vibrationally excited flow. Effect of a vibrational relaxation
 6. Evolution of a largescale vortex in shear flow of a relaxing molecular gas
 NavierStokes model flow. Effect of bulk viscosity
 Effect of a vibrational relaxation on damping vortex structure
 7. Dissipation of the KelvinHelmholts waves in a relaxing molecular gas
 Nonlinear evolution of the KelvinHelmholtz instability in the NavieStokes model
 Effect of a vibrational relaxation on the KelvinHelmholtz instability
 Isbn
 9783319553603
 Label
 Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows
 Title
 Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows
 Statement of responsibility
 by Yurii N. Grigoryev, Igor V. Ershov
 Language
 eng
 Summary
 This book presents an indepth 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 largescale vortices and KelvinHelmholtz 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 laminarturbulent 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
 Image bit depth
 0
 Literary form
 non fiction
 Series statement
 Fluid Mechanics and Its Applications,
 Series volume
 117
 Label
 Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows, by Yurii N. Grigoryev, Igor V. Ershov, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Introduction  Thermal Relaxation and stability of molecular gas flows  1. Physicomathematical models of relaxing molecular gas flows  Elements of physical kinetics  Systems of equations of relaxation gas dynamics  Parameters of thermal relaxation in diatomic gases  Absorption of acoustic waves in the relaxation process  2. Linear Stability of inviscid planeparallel flows of vibrationally excited diatomic gases  Equations of the linear stability theory  Some general necessary conditions of instability growth  Growth rates and eigenfunctions of unstable inviscid modes in a free shear flow  3. Linear stability of supersonic plane Couette flow of vibrationally excited gas  Statement of problem and basic equations  Inviscid stability problem  Linear stability of supersonic Couette flow at finite Reynolds numbers  4. Asymptotic theory of neutral linear stability contours in plane shear flows of a vibrationally excited gas  Asymptotic solutions of linear stability equations  Asymptotics of a neutral stability curve of the supersonic Couette flow of a vibrationally excited gas  5. Energy theory of nonlinear stability of plane shear flows of thermally nonequilibrium gas  Energy Stability analysis of a plane compressible flow. Effect of a bulk viscosity  Energy stability analysis of a plane vibrationally excited flow. Effect of a vibrational relaxation  6. Evolution of a largescale vortex in shear flow of a relaxing molecular gas  NavierStokes model flow. Effect of bulk viscosity  Effect of a vibrational relaxation on damping vortex structure  7. Dissipation of the KelvinHelmholts waves in a relaxing molecular gas  Nonlinear evolution of the KelvinHelmholtz instability in the NavieStokes model  Effect of a vibrational relaxation on the KelvinHelmholtz instability
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 Extent
 XXXII, 201 p. 53 illus., 2 illus. in color.
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 Isbn
 9783319553603
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