## The Theory of Hydrodynamic Stability |

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### Contents

Stability of Couette Motion | 15 |

Stability of Plane Poiseuille Motion | 27 |

General Theory of Hydrodynamic Stability | 46 |

5 other sections not shown

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### Common terms and phrases

amplitude analysis approximation asymptotic solutions basic flow boundary conditions boundary layer Chandrasekhar Chapter characteristic values characteristic-value problem coefficients complex conjugate components conclusion Coriolis force corresponding critical point yc critical Reynolds number damped disturbances denote detailed calculations differential equations dimensionless dimensionless form direction discussion Dunn and Lin effect of viscosity energy finite formula free stream function G. I. Taylor given hydrodynamic stability imaginary incompressible increases instability inviscid laminar flow linear Lord Rayleigh Mach number magnetic field mathematical minimum critical Reynolds Navier-Stokes equations neutral curve neutral disturbances neutral oscillation obtained Orr-Sommerfeld equation parabolic profile parallel flows parameter physical paradox plane Poiseuille motion point of inflexion Poiseuille flow pressure gradient Rayleigh real axis region Reynolds stress rotating cylinders satisfied Schlichting self-excited disturbances small disturbances stability characteristics stability problem supersonic temperature theory three-dimensional disturbances tion Tollmien transition turbance turbulence velocity distribution velocity profile viscous forces vorticity wall Wasow zero