## Theoretical Fluid Dynamics"Although there are many texts and monographs on fluid dynamics, I do not know of any which is as comprehensive as the present book. It surveys nearly the entire field of classical fluid dynamics in an advanced, compact, and clear manner, and discusses the various conceptual and analytical models of fluid flow." - Foundations of Physics on the first edition Theoretical Fluid Dynamics functions equally well as a graduate-level text and a professional reference. Steering a middle course between the empiricism of engineering and the abstractions of pure mathematics, the author focuses on those ideas and formulations that will be of greatest interest to students and researchers in applied mathematics and theoretical physics. Dr. Shivamoggi covers the main branches of fluid dynamics, with particular emphasis on flows of incompressible fluids. Readers well versed in the physical and mathematical prerequisites will find enlightening discussions of many lesser-known areas of study in fluid dynamics. This thoroughly revised, updated, and expanded Second Edition features coverage of recent developments in stability and turbulence, additional chapter-end exercises, relevant experimental information, and an abundance of new material on a wide range of topics, including: * Hamiltonian formulation * Nonlinear water waves and sound waves * Stability of a fluid layer heated from below * Equilibrium statistical mechanics of turbulence * Two-dimensional turbulence |

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### Contents

Dynamics of Inviscid Incompressible Fluid Flows | 27 |

Over a Localized Region | 120 |

Dynamics of Inviscid Compressible Fluid Flows | 213 |

Dynamics of Viscous Fluid Flows | 315 |

Transformation | 371 |

Hydrodynamic Stability | 393 |

Dynamics of Turbulence | 487 |

Bibliography | 535 |

547 | |

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### Common terms and phrases

airfoil amplitude approximation assumed asymptotic axis becomes body boundary conditions boundary layer Casimir invariants characteristic value coefficient complex potential conservation Consider const constant convective corresponding Couette flow curve cylinder denotes density discontinuity disturbances downstream dx dy dynamical effects energy enstrophy equation 20 equilibrium Figure finite flow field flow past fluid particle force Fourier given gives gradient implies incompressible infinite infinity instability integral interactions interface invariant inviscid irrotational Kutta condition latter leads linear liquid modes nonlinear normal Note obtains perturbation plane Poiseuille flow pressure problem propagation radius region Reynolds number rotation Section shock wave shows solitary wave spectrum sphere stability stagnation points stationary steady stream function streamline subsonic supersonic flow symmetric Theorem theory thermodynamic trailing edge transformation turbulence valid variable variation velocity components velocity field velocity potential viscous vortex vortex ring vorticity wavenumbers zero

### References to this book

Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer Ben Q. Li No preview available - 2005 |