ADVANCED SERIES ON FLUID MECHANICS – serie

The volume represents a lifetime's work of the author, for many years the Stephen P Timoshenko Distinguished University Professor of Fluid Mechanics of the University of Michigan. The papers selected treat the dynamics of stratified or rotating fluids, internal or surface waves, hydrodynamic stability, jets and plumes, flow in porous media, and certain aspects of hydrodynamics in magnetic or electric fields. When the papers are viewed in perspective, heterogeneity, whether in density, entropy, circulation, viscosity, or in some quantity which can be called magnetic circulation, seems to be a recurring theme in the phenomena investigated. It provides a general framework through which the understanding of the various phenomena is facilitated by the satisfying similarity underlying their seeming diversity.

Volume I:Ship Hydrodynamics: This work is mainly concerned with ships at zero forward speed. It includes the author's pioneering work on the frequency dependence of virtual mass and damping, and his contributions to such topics as slender-body theory, decay of the free motion of a floating body, diffraction of head seas, the Kelvin shipwave pattern, and the analytic form of the Kelvin wave source. Linear Theory of Water Waves: Scattering of water waves by bodies in the free surface, edge waves and trapped modes, short-wave and long-wave asymptotics relating to floating bodies, irregular wavenumbers in the solution of the integral equations of wave-wave theory.Volume II:Aerodynamics and Acoustics: Rigorous foundation of short-wave asymptotics, irregular values, trapped modes. Mathematical Methods: Asymptotics of integrals involving a large parameter: Method of Steepest Descents for 2 nearly coincident saddle points and for many nearly coincident saddle points, for Hilbert transforms, and for Legendre functions. Oceanography: Contains the earliest work on the propagation of ocean waves and the ocean-wave spectrum. Review of the early theories of wave generation by wind.