Author 
Grigorʹev, I︠U︡. N. (I︠U︡riĭ Nikolaevich),

Series 
Fluid mechanics and its applications, 09265112 ; volume 117 

Fluid mechanics and its applications ;
v. 117.

Subject 
Turbulence.


Gas flow  Mathematical models.


Laminar flow.

Alt Name 
Ershov, Igor V.,

Description 
1 online resource (xxxii, 201 pages) : illustrations (some color). 
Bibliography Note 
Includes bibliographical references and index. 
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. 
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. 
Note 
Online resource; title from PDF title page (SpringerLink, viewed April 20, 2017). 
ISBN 
9783319553603 (electronic bk.) 

3319553607 (electronic bk.) 

9783319553597 (print) 

3319553593 
OCLC # 
982487097 
Additional Format 
Print version: Grigorev, IU. N. (IUrii Nikolaevich). Stability and suppression of turbulence in relaxing molecular gas flows. Cham, Switzerland : Springer, 2017 3319553593 9783319553597 (OCoLC)972865319 
