"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 editionTheoretical 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
Author(s): Bhimsen K. Shivamoggi
Edition: 2
Publisher: Wiley-Interscience
Year: 1998
Language: English
Pages: 576
Tags: Механика;Механика жидкостей и газов;Гидрогазодинамика;
CONTENTS......Page 8
1.1. Introduction to Fluid Dynamics......Page 22
1.2. Surface Tension......Page 43
1.3. A Program for Analysis of the Governing Equations......Page 46
2.1. Fluid Kinematics and Dynamics......Page 48
2.2. The Complex-Variable Method......Page 63
2.3. Three-Dimensional Irrotational Flows......Page 85
2.4. Vortex Flows......Page 97
2.5. Rotating Flows......Page 118
2.6. Water Waves......Page 135
2.7. Applications to Aerodynamics......Page 189
3 . 1 . Review of Thermodynamics......Page 234
3.2. Isentropic Flows......Page 241
3.3. Shock Waves......Page 245
3.4. Flows with Heat Transfer......Page 260
3.5. Potential Flows......Page 264
3 6. The Hodograph Method......Page 284
3.7. Nonlinear Theory of Plane Sound Waves......Page 294
3.8. Applications to Aerodynamics......Page 313
4.1. Exact Solutions to Equations of ViscousFluid Flows......Page 336
4.2. Flows at Low Reynolds Numbers......Page 356
4.3. Flows at High Reynolds Numbers......Page 371
4.4. Jeffrey-Hamel Flow......Page 402
5.1. Introduction to Hydrodynamic Stability......Page 414
5.2. Thermal Instability of a Layer of Fluid Heated from Below......Page 415
5.3. Stability of Couette Flow......Page 427
5.4. Rayleigh-Taylor Instability of Superposed Fluids......Page 441
5.5. Kelvin-Helmholtz Instability......Page 447
5.6. Capillary Instability of a Liquid Jet......Page 456
5.7. Stability of Parallel Flows......Page 460
6.1. The Origin and Nature of Turbulence......Page 508
6.2. Three-Dimensional Turbulence......Page 510
6.3. Two-Dimensional Turbulence......Page 541
6.4. Turbulent Dispersion: Lin's Theory......Page 552
BIBLIOGRAPHY......Page 556
SUBJECT INDEX......Page 568
