Physics of Vortex Flows

This book provides a comprehensive, modern discussion of the physics of vortex flows and vortex-body interactions through a combination of mathematical models, figures, descriptive explanation, and mathematical solutions. The author utilizes both exact and simplified mathematical models of vortex transport to explain the wide range of physical phenomena exhibited by vortices in two- and three-dimensional fluids. The book focuses particularly on describing phenomena associated with bending waves and area-varying waves on vortex cores that underlie many 3D vortex phenomena including both small-amplitude waves and nonlinear solitary waves. Inherently three-dimensional vortex phenomena such as vortex reconnection, multiscale vortex interactions, vortex breakdowns, and cutting of a vortex by a blade are examined in detail, including introduction and validation of simple models to describe the underlying physical processes occurring.

• Presents detailed discussion of physics of vortex flows and vortex-body interactions in two- and three-dimensions;

• Employs simplified and exact mathematical models and illustrative figures to explain fluid dynamics processes;

• Emphasizes wide-ranging effects of vortex wave motions on vortex transport, instabilities, and breakdown.

Dr. Jeffrey S. Marshall is a Professor in the Department of Mechanical Engineering and Associate Dean for Research and Graduate Education in the College of Engineering and Mathematical Sciences at the University of Vermont, Burlington, VT. He previously served on the faculties of the University of Iowa (1993-2006) and Florida Atlantic University (1989-1993). He received a Ph.D. degree in Mechanical Engineering from the University of California at Berkeley (1987). He is a recipient of the ASME Henry Hess Award (1993) and the Army Research Office Young Investigator Award (1993). He was elected a fellow of the American Society of Mechanical Engineers (ASME) in 2004 and a member of the Vermont Academy of Science and Engineering (VASE) in 2024. Dr. Marshall is the author of a graduate textbook (Inviscid Incompressible Flow, John Wiley & Sons, 2001) and a previous monograph (Adhesive Particle Flow – A Discrete Element Approach, Cambridge University Press, 2014), as well as approximately 140 journal articles and book chapters.