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
Dynamics of Inviscid Incompressible Fluid Flows.
Dynamics of Inviscid Compressible Fluid Flows.
Dynamics of Viscous Fluid Flows.
Dynamics of Turbulence.