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Author: Achim Feldmeier Publisher: Springer Nature ISBN: 3030310221 Category : Science Languages : en Pages : 580
Book Description
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: Achim Feldmeier Publisher: Springer Nature ISBN: 3030310221 Category : Science Languages : en Pages : 580
Book Description
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: Richard Fitzpatrick Publisher: ISBN: 9780750315531 Category : SCIENCE Languages : en Pages : 0
Book Description
"Theoretical Fluid Mechanics' has been written to aid physics students who wish to pursue a course of self-study in fluid mechanics. It is a comprehensive, completely self-contained text with equations of fluid mechanics derived from first principles, and any required advanced mathematics is either fully explained in the text, or in an appendix. It is accompanied by about 180 exercises with completely worked out solutions. It also includes extensive sections on the application of fluid mechanics to topics of importance in astrophysics and geophysics. These topics include the equilibrium of rotating, self-gravitating, fluid masses; tidal bores; terrestrial ocean tides; and the Eddington solar model."--Prové de l'editor.
Author: Bhimsen K. Shivamoggi Publisher: John Wiley & Sons ISBN: 9780471056591 Category : Mathematics Languages : en Pages : 582
Book Description
Eine komplett neu geschriebene Auflage. Es wurden neue Übungen ausgewählt, verschiedene Themen, wie z. B. Stabilität und Turbulenz, wurden auf den neuesten Stand der Forschung gebracht und es wurden ganz neue Themen hinzugefügt. Das Thema wird unter Aspekten der angewandten Mathematik behandelt und führt den Leser in weit verzweigte theoretische Studien der Flüssigkeitsdynamik ein. Dabei wird in umfassender und verständlicher Weise fast der gesamte Themenkomplex der klassischen Flüssigkeitsdynamik abgedeckt. (10/97)
Author: Constantine Pozrikidis Publisher: Oxford University Press ISBN: 0199752079 Category : Computers Languages : en Pages : 1274
Book Description
This book discusses the fundamental principles and equations governing the motion of incompressible Newtonian fluids, and simultaneously introduces numerical methods for solving a broad range of problems. Appendices provide a wealth of information that establishes the necessary mathematical and computational framework.
Author: Stephen Childress Publisher: American Mathematical Soc. ISBN: 0821848887 Category : Science Languages : en Pages : 218
Book Description
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: Z.U.A. Warsi Publisher: CRC Press ISBN: 142005788X Category : Technology & Engineering Languages : en Pages : 860
Book Description
Many introductions to fluid dynamics offer an illustrative approach that demonstrates some aspects of fluid behavior, but often leave you without the tools necessary to confront new problems. For more than a decade, Fluid Dynamics: Theoretical and Computational Approaches has supplied these missing tools with a constructive approach that mad
Author: Richard E. Meyer Publisher: Courier Corporation ISBN: 0486138941 Category : Science Languages : en Pages : 194
Book Description
Geared toward advanced undergraduate and graduate students in applied mathematics, engineering, and the physical sciences, this introductory text covers kinematics, momentum principle, Newtonian fluid, compressibility, and other subjects. 1971 edition.
Author: L D Landau Publisher: Elsevier ISBN: 1483161048 Category : Technology & Engineering Languages : en Pages : 556
Book Description
Fluid Mechanics, Second Edition deals with fluid mechanics, that is, the theory of the motion of liquids and gases. Topics covered range from ideal fluids and viscous fluids to turbulence, boundary layers, thermal conduction, and diffusion. Surface phenomena, sound, and shock waves are also discussed, along with gas flow, combustion, superfluids, and relativistic fluid dynamics. This book is comprised of 16 chapters and begins with an overview of the fundamental equations of fluid dynamics, including Euler's equation and Bernoulli's equation. The reader is then introduced to the equations of motion of a viscous fluid; energy dissipation in an incompressible fluid; damping of gravity waves; and the mechanism whereby turbulence occurs. The following chapters explore the laminar boundary layer; thermal conduction in fluids; dynamics of diffusion of a mixture of fluids; and the phenomena that occur near the surface separating two continuous media. The energy and momentum of sound waves; the direction of variation of quantities in a shock wave; one- and two-dimensional gas flow; and the intersection of surfaces of discontinuity are also also considered. This monograph will be of interest to theoretical physicists.
Author: Zarantonello Eduardo H. Publisher: Elsevier ISBN: 0323162711 Category : Science Languages : en Pages : 367
Book Description
Applied Mathematics and Mechanics, Volume 2: Jets, Wakes, and Cavities provides a systematic discussion of jets, wakes, and cavities. This book focuses on the general aspects of ideal fluid theory and examines the engineering applications of fluid dynamics. Organized into 15 chapters, this volume starts with an overview of the different types of jets and explores the atomization of jets in carburetors in connection with gasoline engine design. This text then emphasizes the formal treatment of special flows and examines the flows that are bounded by flat plates and free streamlines. Other chapters consider the flows that are bounded by the cavity behind a symmetric wedge. This book discusses as well the intuitive momentum and similarity considerations. The final chapter deals with several surprising physical complications. Mathematician, physicists, engineers, and readers interested in the fields of applied mathematics, experimental physics, hydraulics, and aeronautics will find this book extremely useful.
Author: Achim Feldmeier
Author: Achim Feldmeier
Author: Richard Fitzpatrick
Author: Bhimsen K. Shivamoggi
Author: Constantine Pozrikidis
Author: Stephen Childress
Author: Z.U.A. Warsi
Author: Richard E. Meyer
Author: L D Landau
Author: Sir M. J. Lighthill
Author: Zarantonello Eduardo H.