Theoretical Hydrodynamics
Author | : L M Milne Thomson |
Publisher | : Palgrave |
Total Pages | : 772 |
Release | : 2013-12-31 |
Genre | : |
ISBN | : 9781349005192 |
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Author | : L M Milne Thomson |
Publisher | : Palgrave |
Total Pages | : 772 |
Release | : 2013-12-31 |
Genre | : |
ISBN | : 9781349005192 |
Author | : Sir Horace Lamb |
Publisher | : Courier Corporation |
Total Pages | : 774 |
Release | : 1945-01-01 |
Genre | : Science |
ISBN | : 9780486602561 |
This classic presentation has never been superseded in its encyclopedic coverage of the subject, and its excellent exposition of fundamental theorems, equations, and detailed methods of solution. Topics include many aspects of the dynamics of liquids and gases and 3-dimensional problems on motion of solids through a liquid. 1932 edition.
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 | : L. M. Milne-Thomson |
Publisher | : Courier Corporation |
Total Pages | : 770 |
Release | : 2013-04-22 |
Genre | : Science |
ISBN | : 0486318699 |
Classic exposition of the mathematical theory of fluid motion, applicable to both hydrodynamics and aerodynamics. Treatment based on vector methods and notation. Over 600 exercises. 391 diagrams. 1968 edition.
Author | : Louis Melville Milne-Thomson |
Publisher | : Courier Corporation |
Total Pages | : 770 |
Release | : 1996-01-01 |
Genre | : Science |
ISBN | : 0486689700 |
This classic exposition of the mathematical theory of fluid motion is applicable to both hydrodynamics and aerodynamics. Based on vector methods and notation with their natural consequence in two dimensions — the complex variable — it offers more than 600 exercises and nearly 400 diagrams. Prerequisites include a knowledge of elementary calculus. 1968 edition.
Author | : V.K. Andreev |
Publisher | : Springer Science & Business Media |
Total Pages | : 966 |
Release | : 1998-10-31 |
Genre | : Mathematics |
ISBN | : 9780792352150 |
It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems. This analysis was especially fruitful in application to the basic equations of mechanics and physics because the invariance principles are already involved in their derivation. It is in no way a coincidence that the equations of hydrodynamics served as the first object for applying the new ideas and methods of group analysis which were developed by 1. V. Ovsyannikov and his school. The authors rank themselves as disciples of the school. The present monograph deals mainly with group-theoretic classification of the equations of hydrodynamics in the presence of planar and rotational symmetry and also with construction of exact solutions and their physical interpretation. It is worth noting that the concept of exact solution to a differential equation is not defined rigorously; different authors understand it in different ways. The concept of exact solution expands along with the progress of mathematics (solu tions in elementary functions, in quadratures, and in special functions; solutions in the form of convergent series with effectively computable terms; solutions whose searching reduces to integrating ordinary differential equations; etc. ). We consider it justifiable to enrich the set of exact solutions with rank one and rank two in variant and partially invariant solutions to the equations of hydrodynamics.
Author | : Bhimsen K. Shivamoggi |
Publisher | : John Wiley & Sons |
Total Pages | : 582 |
Release | : 1998-01-29 |
Genre | : Mathematics |
ISBN | : 9780471056591 |
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 | : Jean Pierre Boon |
Publisher | : Courier Corporation |
Total Pages | : 452 |
Release | : 1991-01-01 |
Genre | : Science |
ISBN | : 9780486669496 |
A graduate level introduction to the theory and applications of time correlation functions and the molecular theory of fluid dynamics. "Quite well organized . . . the literature coverage is impressive." — Physics Today. 110 illustrations.
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 | : Z.U.A. Warsi |
Publisher | : CRC Press |
Total Pages | : 874 |
Release | : 2005-07-26 |
Genre | : Technology & Engineering |
ISBN | : 0849333970 |
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 made the book a bestseller. Now in its third edition, it supplies even more computational skills in addition to a solid foundation in theory. After laying the groundwork in theoretical fluid dynamics, independent of any particular coordinate system in order to allow coordinate transformation of the equations, the author turns to the technique of writing Navier–Stokes and Euler’s equations, flow of inviscid fluids, laminar viscous flow, and turbulent flow. He also includes requisite mathematics in several “Mathematical Expositions” at the end of the book and provides abundant end-of-chapter problems. What’s New in the Third Edition? New section on free surface flow New section on instability of flows through Chaos and nonlinear dissipative systems New section on formulation of the large eddy simulation (LES) problem New example problems and exercises that reflect new and important topics of current interest By integrating a strong theoretical foundation with practical computational tools, Fluid Dynamics: Theoretical and Computational Approaches, Third Edition is an indispensable guide to the methods needed to solve new and unfamiliar problems in fluid dynamics.