Vorticity and Vortex Dynamics

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. "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 dynamics process. This is followed by vortex dynamics dealing with the motion, interaction, stability, and breakdown of various vortices. Typical vortex structures are analyzed in laminar, translational, and turbulent flows, including stratified and rotational fluids. In another chapter vortical flow management is presented, such as diagnostics and control. Physical understanding of vortical 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."--BOOK JACKET

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 dynamics process. This is followed by vortex dynamics dealing with the motion, interaction, stability, and breakdown of various vortices. Typical vortex structures are analyzed in laminar, translational, and turbulent flows, including stratified and rotational fluids. In another chapter vortical flow management is presented, such as diagnostics and control. Physical understanding of vortical 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.

Front Matter....Pages I-XIV Introduction....Pages 1-9 Front Matter....Pages 11-11 Fundamental Processes in Fluid Motion....Pages 13-65 Vorticity Kinematics....Pages 67-129 Fundamentals of Vorticity Dynamics....Pages 131-200 Vorticity Dynamics in Flow Separation....Pages 201-252 Front Matter....Pages 253-253 Typical Vortex Solutions....Pages 255-321 Separated Vortex Flows....Pages 323-382 Core Structure, Vortex Filament, and Vortex System....Pages 383-447 Front Matter....Pages 449-449 Vortical-Flow Stability and Vortex Breakdown....Pages 451-518 Vortical Structures in Transitional and Turbulent Shear Flows....Pages 519-584 Front Matter....Pages 585-585 Vortical Aerodynamic Force and Moment....Pages 587-640 Vorticity and Vortices in Geophysical Flows....Pages 641-691 Erratum....Pages 777-780 Back Matter....Pages 693-776 A comprehensive monograph for scientists, engineers and applied mathematicians, as well as graduate students in fluid dynamics, this book analyzes typical vortex structures in laminar, translational, and turbulent flows, including stratified and rotational fluids.