Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows

• Main Authors: Grigoryev, Yurii N. (Author), Ershov, Igor V. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Fluid Mechanics and Its Applications, 117
• Subjects: Physics.; Mathematical physics.; Fluids.; Fluid mechanics.; Fluid- and Aerodynamics.; Mathematical Applications in the Physical Sciences.; Engineering Fluid Dynamics.; Mathematical Methods in Physics.

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 t...

Table of Contents:

• Preface
• Introduction
• Thermal Relaxation and stability of molecular gas flows
• 1. Physico-mathematical 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 plane-parallel 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 large-scale vortex in shear flow of a relaxing molecular gas
• Navier-Stokes model flow. Effect of bulk viscosity
• Effect of a vibrational relaxation on damping vortex structure
• 7. Dissipation of the Kelvin-Helmholts waves in a relaxing molecular gas
• Nonlinear evolution of the Kelvin-Helmholtz instability in the Navie-Stokes model
• Effect of a vibrational relaxation on the Kelvin-Helmholtz instability.