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This book is a comprehensive and intensive book for graduate
students in fluid dynamics as well as scientists, engineers and
applied mathematicians. Offering a systematic introduction to the
physical theory of vortical flows at graduate level, it considers
the theory of vortical flows as a branch of fluid dynamics focusing
on shearing process in fluid motion, measured by vorticity. It
studies vortical flows according to their natural evolution
stages,from being generated to dissipated. As preparation, the
first three chapters of the book provide background knowledge for
entering vortical flows. The rest of the book deals with vortices
and vortical flows, following their natural evolution stages. Of
various vortices the primary form is layer-like vortices or shear
layers, and secondary but stronger form is axial vortices mainly
formed by the rolling up of shear layers. Problems are given at the
end of each chapter and Appendix, some for helping understanding
the basic theories, and some involving specific applications; but
the emphasis of both is always on physical thinking.
This book is a comprehensive and intensive book for graduate
students in fluid dynamics as well as scientists, engineers and
applied mathematicians. Offering a systematic introduction to the
physical theory of vortical flows at graduate level, it considers
the theory of vortical flows as a branch of fluid dynamics focusing
on shearing process in fluid motion, measured by vorticity. It
studies vortical flows according to their natural evolution
stages,from being generated to dissipated. As preparation, the
first three chapters of the book provide background knowledge for
entering vortical flows. The rest of the book deals with vortices
and vortical flows, following their natural evolution stages. Of
various vortices the primary form is layer-like vortices or shear
layers, and secondary but stronger form is axial vortices mainly
formed by the rolling up of shear layers. Problems are given at the
end of each chapter and Appendix, some for helping understanding
the basic theories, and some involving specific applications; but
the emphasis of both is always on physical thinking.
The importance of vorticity and vortex dynamics has now been well
rec- nized at both fundamental and applied levels of ?uid dynamics,
as already
anticipatedbyTruesdellhalfcenturyagowhenhewrotethe?rstmonograph
onthesubject, The Kinematics of
Vorticity(1954);andasalsoevidencedby the appearance of several
books on this ?eld in 1990s. The present book is
characterizedbythefollowingfeatures: 1. A basic physical guide
throughout the book. The material is directed by a basic
observation on the splitting and coupling of two fundamental
processes in ?uid motion, i.e., shearing (unique to ?uid) and
compre- ing/expanding.Thevorticityplaysakeyroleintheformer,
andavortex
isnothingbuta?uidbodywithhighconcentrationofvorticitycompared to
its surrounding ?uid. Thus, the vorticity and vortex dynamics is -
cordinglyde?nedasthetheoryofshearingprocessanditscouplingwith
compressing/expandingprocess. 2. A description of the vortex
evolution following its entire life.Thisbegins from the generation
of vorticity to the formation of thin vortex layers
andtheirrolling-upintovortices, fromthevortex-corestructure, vortex
motionandinteraction, totheburstofvortexlayerandvortexintosma-
scalecoherentstructureswhichleadstothetransitiontoturbulence, and
?nallytothedissipationofthesmalleststructuresintoheat. 3. Wide
range of topics.Inadditiontofundamentaltheoriesrelevanttothe
abovesubjects, theirmostimportantapplicationsarealsopresented.This
includes vortical structures in transitional and turbulent ?ows,
vortical aerodynamics, and vorticity and vortices in geophysical
?ows. The last topic was suggested to be added by Late Sir James
Lighthill, who read
carefullyanearlydraftoftheplannedtableofcontentsofthebookin1994
andexpressedthathelikes"allthematerial"thatweproposedthere. These
basic features of the present book are a continuation and -
velopment of the spirit and logical structure of a Chinese
monograph by the same authors, Introduction to Vorticity and Vortex
Dynamics, Higher VI Preface EducationPress, Beijing,1993,
butthematerialhasbeencompletelyrewr-
tenandupdated.Thebookmay?tvariousneedsof?uiddynamicsscientists,
educators, engineers,
aswellasappliedmathematicians.Itsselectedchapters
canalsobeusedastextbookforgraduatestudentsandseniorundergraduates.
Thereadershouldhaveknowledgeofundergraduate?uidmechanicsand/or
aerodynamicscourses.
The importance of vorticity and vortex dynamics has now been well
rec- nized at both fundamental and applied levels of ?uid dynamics,
as already
anticipatedbyTruesdellhalfcenturyagowhenhewrotethe?rstmonograph
onthesubject, The Kinematics of
Vorticity(1954);andasalsoevidencedby the appearance of several
books on this ?eld in 1990s. The present book is
characterizedbythefollowingfeatures: 1. A basic physical guide
throughout the book. The material is directed by a basic
observation on the splitting and coupling of two fundamental
processes in ?uid motion, i.e., shearing (unique to ?uid) and
compre- ing/expanding.Thevorticityplaysakeyroleintheformer,
andavortex
isnothingbuta?uidbodywithhighconcentrationofvorticitycompared to
its surrounding ?uid. Thus, the vorticity and vortex dynamics is -
cordinglyde?nedasthetheoryofshearingprocessanditscouplingwith
compressing/expandingprocess. 2. A description of the vortex
evolution following its entire life.Thisbegins from the generation
of vorticity to the formation of thin vortex layers
andtheirrolling-upintovortices, fromthevortex-corestructure, vortex
motionandinteraction, totheburstofvortexlayerandvortexintosma-
scalecoherentstructureswhichleadstothetransitiontoturbulence, and
?nallytothedissipationofthesmalleststructuresintoheat. 3. Wide
range of topics.Inadditiontofundamentaltheoriesrelevanttothe
abovesubjects, theirmostimportantapplicationsarealsopresented.This
includes vortical structures in transitional and turbulent ?ows,
vortical aerodynamics, and vorticity and vortices in geophysical
?ows. The last topic was suggested to be added by Late Sir James
Lighthill, who read
carefullyanearlydraftoftheplannedtableofcontentsofthebookin1994
andexpressedthathelikes"allthematerial"thatweproposedthere. These
basic features of the present book are a continuation and -
velopment of the spirit and logical structure of a Chinese
monograph by the same authors, Introduction to Vorticity and Vortex
Dynamics, Higher VI Preface EducationPress, Beijing,1993,
butthematerialhasbeencompletelyrewr-
tenandupdated.Thebookmay?tvariousneedsof?uiddynamicsscientists,
educators, engineers,
aswellasappliedmathematicians.Itsselectedchapters
canalsobeusedastextbookforgraduatestudentsandseniorundergraduates.
Thereadershouldhaveknowledgeofundergraduate?uidmechanicsand/or
aerodynamicscourses.
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