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Elements of Vorticity Aerodynamics (Paperback, Softcover reprint of the original 1st ed. 2018)
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Elements of Vorticity Aerodynamics (Paperback, Softcover reprint of the original 1st ed. 2018)
Series: Springer Tracts in Mechanical Engineering
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This book opens with a discussion of the vorticity-dynamic
formulation of the low Mach number viscous flow problem. It
examines the physical aspects of the velocity and the vorticity
fields, their instantaneous relationship, and the transport of
vorticity in viscous fluids for steady and unsteady flows.
Subsequently, using classical analyses it explores the mathematical
aspects of vorticity dynamics and issues of initial and boundary
conditions for the viscous flow problem. It also includes the
evolution of the vorticity field which surrounds and trails behind
airfoils and wings, generalizations of Helmholtz' vortex theorems
and the Biot-Savart Law. The book introduces a theorem that relates
the aerodynamic force to the vorticity moment and reviews the
applications of the theorem. Further, it presents interpretations
of the Kutta-Joukowski theorem and Prandtl's lifting line theory
for vorticity dynamics and discusses wake integral methods. The
virtual-mass effect is shown to be the seminal event in unsteady
aerodynamics and a simple approach for evaluating virtual-mass
forces on the basis of vorticity dynamics is presented. The book
presents a modern viewpoint on vorticity dynamics as the framework
for understanding and establishing the fundamental principles of
viscous and unsteady aerodynamics. It is intended for
graduate-level students of classical aerodynamics and researchers
exploring the frontiers of fully unsteady and non-streamlined
aerodynamics.
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