Elementary Theoretical Fluid Mechanics
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Author | : Tsutomu Kambe |
Publisher | : World Scientific |
Total Pages | : 403 |
Release | : 2007 |
Genre | : Science |
ISBN | : 9812706674 |
This textbook describes the fundamental OC physicalOCO aspects of fluid flows for beginners of fluid mechanics in physics, mathematics and engineering, from the point of view of modern physics. It also emphasizes the dynamical aspects of fluid motions rather than the static aspects, illustrating vortex motions, waves, geophysical flows, chaos and turbulence. Beginning with the fundamental concepts of the nature of flows and the properties of fluids, the book presents fundamental conservation equations of mass, momentum and energy, and the equations of motion for both inviscid and viscous fluids. In addition to the fundamentals, this book also covers water waves and sound waves, vortex motions, geophysical flows, nonlinear instability, chaos, and turbulence. Furthermore, it includes the chapters on superfluids and the gauge theory of fluid flows. The material in the book emerged from the lecture notes for an intensive course on Elementary Fluid Mechanics for both undergraduate and postgraduate students of theoretical physics given in 2003 and 2004 at the Nankai Institute of Mathematics (Tianjin) in China. Hence, each chapter may be presented separately as a single lecture."
Author | : Karl Brenkert |
Publisher | : |
Total Pages | : 368 |
Release | : 1960 |
Genre | : Fluid mechanics |
ISBN | : |
Author | : Karl Brenkert (jr.) |
Publisher | : |
Total Pages | : 348 |
Release | : 1964 |
Genre | : |
ISBN | : |
Author | : Stephen Childress |
Publisher | : American Mathematical Soc. |
Total Pages | : 218 |
Release | : 2009-10-09 |
Genre | : Science |
ISBN | : 0821848887 |
This book gives an overview of classical topics in fluid dynamics, focusing on the kinematics and dynamics of incompressible inviscid and Newtonian viscous fluids, but also including some material on compressible flow. The topics are chosen to illustrate the mathematical methods of classical fluid dynamics. The book is intended to prepare the reader for more advanced topics of current research interest.
Author | : D. J. Acheson |
Publisher | : Oxford University Press |
Total Pages | : 408 |
Release | : 1990-03-15 |
Genre | : Mathematics |
ISBN | : 0198596790 |
This textbook provides a clear and concise introduction to both theory and application of fluid dynamics. It has a wide scope, frequent references to experiments, and numerous exercises (with hints and answers).
Author | : Achim Feldmeier |
Publisher | : Springer Nature |
Total Pages | : 580 |
Release | : 2020-03-17 |
Genre | : Science |
ISBN | : 3030310221 |
This textbook gives an introduction to fluid dynamics based on flows for which analytical solutions exist, like individual vortices, vortex streets, vortex sheets, accretions disks, wakes, jets, cavities, shallow water waves, bores, tides, linear and non-linear free-surface waves, capillary waves, internal gravity waves and shocks. Advanced mathematical techniques ("calculus") are introduced and applied to obtain these solutions, mostly from complex function theory (Schwarz-Christoffel theorem and Wiener-Hopf technique), exterior calculus, singularity theory, asymptotic analysis, the theory of linear and nonlinear integral equations and the theory of characteristics. Many of the derivations, so far contained only in research journals, are made available here to a wider public.
Author | : Karl Brenkert |
Publisher | : |
Total Pages | : 414 |
Release | : 1960 |
Genre | : Fluid mechanics |
ISBN | : |
Author | : George Elmer Forsythe |
Publisher | : |
Total Pages | : |
Release | : 1960 |
Genre | : |
ISBN | : |
Author | : Tsutomu (Jixin) Kambe |
Publisher | : World Scientific |
Total Pages | : 403 |
Release | : 2007-01-04 |
Genre | : Mathematics |
ISBN | : 9814479764 |
This textbook describes the fundamental “physical” aspects of fluid flows for beginners of fluid mechanics in physics, mathematics and engineering, from the point of view of modern physics.It also emphasizes the dynamical aspects of fluid motions rather than the static aspects, illustrating vortex motions, waves, geophysical flows, chaos and turbulence. Beginning with the fundamental concepts of the nature of flows and the properties of fluids, the book presents fundamental conservation equations of mass, momentum and energy, and the equations of motion for both inviscid and viscous fluids.In addition to the fundamentals, this book also covers water waves and sound waves, vortex motions, geophysical flows, nonlinear instability, chaos, and turbulence. Furthermore, it includes the chapters on superfluids and the gauge theory of fluid flows.The material in the book emerged from the lecture notes for an intensive course on Elementary Fluid Mechanics for both undergraduate and postgraduate students of theoretical physics given in 2003 and 2004 at the Nankai Institute of Mathematics (Tianjin) in China. Hence, each chapter may be presented separately as a single lecture.
Author | : Constantine Pozrikidis |
Publisher | : Springer Science & Business Media |
Total Pages | : 686 |
Release | : 2013-11-11 |
Genre | : Science |
ISBN | : 1475733232 |
Ready access to computers at an institutional and personal level has defined a new era in teaching and learning. The opportunity to extend the subject matter of traditional science and engineering disciplines into the realm of scientific computing has become not only desirable, but also necessary. Thanks to port ability and low overhead and operating costs, experimentation by numerical simulation has become a viable substitute, and occasionally the only alternative, to physical experiment at ion. The new environment has motivated the writing of texts and mono graphs with a modern perspective that incorporates numerical and com puter programming aspects as an integral part of the curriculum: meth ods, concepts, and ideas should be presented in a unified fashion that motivates and underlines the urgency of the new elements, but does not compromise the rigor of the classical approach and does not oversimplify. Interfacing fundamental concepts and practical methods of scientific computing can be done on different levels. In one approach, theory and implement at ion are kept complementary and presented in a sequential fashion. In a second approach, the coupling involves deriving compu tational methods and simulation algorithms, and translating equations into computer code instructions immediately following problem formu lations. The author of this book is a proponent of the second approach and advocates its adoption as a means of enhancing learning: interject ing methods of scientific computing into the traditional discourse offers a powerful venue for developing analytical skills and obtaining physical insight.