Vorticity and Vortex Dynamics [electronic resource] / by Jie-Zhi Wu, Hui-Yang Ma, Ming-De Zhou.

Vorticity Dynamics -- Fundamental Processes in Fluid Motion -- Vorticity Kinematics -- Fundamentals of Vorticity Dynamics -- Vorticity Dynamics in Flow Separation -- Vortex Dynamics -- Typical Vortex Solutions -- Separated Vortex Flows -- Core Structure, Vortex Filament, and Vortex System -- Vortical Flow Instability, Transition and Turbulence -- Vortical-Flow Stability and Vortex Breakdown -- Vortical Structures in Transitional and Turbulent Shear Flows -- Special Topics -- Erratum -- Vortical Aerodynamic Force and Moment -- Vorticity and Vortices in Geophysical Flows.

This book is a comprehensive and intensive monograph for scientists, engineers and applied mathematicians, as well as graduate students in fluid dynamics. It starts with a brief review of fundamentals of fluid dynamics, with an innovative emphasis on the intrinsic orthogonal decomposition of fluid dynamic process, by which one naturally identifies the content and scope of vorticity and vortex dynamics. This is followed by a detailed presentation of vorticity dynamics as the basis of later development. In vortex dynamics part the book deals with the formation, motion, interaction, stability, and breakdown of various vortices. Typical vortex structures are analyzed in laminar, transitional, and turbulent flows, including stratified and rotational fluids. Physical understanding of vertical flow phenomena and mechanisms is the first priority throughout the book. To make the book self-contained, some mathematical background is briefly presented in the main text, but major prerequisites are systematically given in appendices. Material usually not seen in books on vortex dynamics is included, such as geophysical vortex dynamics, aerodynamic vortical flow diagnostics and management.