Introductory Incompressible Fluid Mechanics

Author : Frank H. Berkshire
Publisher : Cambridge University Press
ISBN 13 : 1009084186
Total Pages : 336 pages
Book Rating : 4.85/5 ( download)

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Download or read book Introductory Incompressible Fluid Mechanics written by Frank H. Berkshire and published by Cambridge University Press. This book was released on 2021-12-02 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the mathematics of incompressible fluid mechanics and its applications keeps prerequisites to a minimum – only a background knowledge in multivariable calculus and differential equations is required. Part One covers inviscid fluid mechanics, guiding readers from the very basics of how to represent fluid flows through to the incompressible Euler equations and many real-world applications. Part Two covers viscous fluid mechanics, from the stress/rate of strain relation to deriving the incompressible Navier-Stokes equations, through to Beltrami flows, the Reynolds number, Stokes flows, lubrication theory and boundary layers. Also included is a self-contained guide on the global existence of solutions to the incompressible Navier-Stokes equations. Students can test their understanding on 100 progressively structured exercises and look beyond the scope of the text with carefully selected mini-projects. Based on the authors' extensive teaching experience, this is a valuable resource for undergraduate and graduate students across mathematics, science, and engineering.

Author : Joseph Katz
Publisher : Cambridge University Press
ISBN 13 : 1139490087
Total Pages : pages
Book Rating : 4.85/5 ( download)

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Download or read book Introductory Fluid Mechanics written by Joseph Katz and published by Cambridge University Press. This book was released on 2010-08-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this introductory text is to familiarise students with the basic elements of fluid mechanics so that they will be familiar with the jargon of the discipline and the expected results. At the same time, this book serves as a long-term reference text, contrary to the oversimplified approach occasionally used for such introductory courses. The second objective is to provide a comprehensive foundation for more advanced courses in fluid mechanics (within disciplines such as mechanical or aerospace engineering). In order to avoid confusing the students, the governing equations are introduced early, and the assumptions leading to the various models are clearly presented. This provides a logical hierarchy and explains the interconnectivity between the various models. Supporting examples demonstrate the principles and provide engineering analysis tools for many engineering calculations.

Author : George Keith Batchelor
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.92/5 ( download)

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Download or read book An Introduction to Fluid Dynamics written by George Keith Batchelor and published by . This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1967, this text on fluid dynamics is still one of the best regarded introductions to the subject. The presentation of the underlying theories of fluids remains timely and applicable, even in these days of limitless computer power.

Author : M. O. Deville
Publisher : Cambridge University Press
ISBN 13 : 9780521453097
Total Pages : 532 pages
Book Rating : 4.97/5 ( download)

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Download or read book High-Order Methods for Incompressible Fluid Flow written by M. O. Deville and published by Cambridge University Press. This book was released on 2002-08-15 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Author : William Layton
Publisher : SIAM
ISBN 13 : 0898718902
Total Pages : 220 pages
Book Rating : 4.04/5 ( download)

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Download or read book Introduction to the Numerical Analysis of Incompressible Viscous Flows written by William Layton and published by SIAM. This book was released on 2008-01-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.

Author : Andrew J. Majda
Publisher : Cambridge University Press
ISBN 13 : 9780521639484
Total Pages : 562 pages
Book Rating : 4.84/5 ( download)

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Download or read book Vorticity and Incompressible Flow written by Andrew J. Majda and published by Cambridge University Press. This book was released on 2002 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprise a modern applied mathematics graduate course on the weak solution theory for incompressible flow.

Author : Stephen Childress
Publisher : American Mathematical Soc.
ISBN 13 : 0821848887
Total Pages : 218 pages
Book Rating : 4.83/5 ( download)

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Download or read book An Introduction to Theoretical Fluid Mechanics written by Stephen Childress and published by American Mathematical Soc.. This book was released on 2009-10-09 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : P. Sagaut
Publisher : Springer Science & Business Media
ISBN 13 : 3662046954
Total Pages : 437 pages
Book Rating : 4.51/5 ( download)

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Download or read book Large Eddy Simulation for Incompressible Flows written by P. Sagaut and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: First concise textbook on Large-Eddy Simulation, a very important method in scientific computing and engineering From the foreword to the third edition written by Charles Meneveau: "... this meticulously assembled and significantly enlarged description of the many aspects of LES will be a most welcome addition to the bookshelves of scientists and engineers in fluid mechanics, LES practitioners, and students of turbulence in general."

Author : Ronald L. Panton
Publisher : John Wiley & Sons
ISBN 13 : 1118013433
Total Pages : 912 pages
Book Rating : 4.34/5 ( download)

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Download or read book Incompressible Flow written by Ronald L. Panton and published by John Wiley & Sons. This book was released on 2013-08-05 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most teachable book on incompressible flow— now fully revised, updated, and expanded Incompressible Flow, Fourth Edition is the updated and revised edition of Ronald Panton's classic text. It continues a respected tradition of providing the most comprehensive coverage of the subject in an exceptionally clear, unified, and carefully paced introduction to advanced concepts in fluid mechanics. Beginning with basic principles, this Fourth Edition patiently develops the math and physics leading to major theories. Throughout, the book provides a unified presentation of physics, mathematics, and engineering applications, liberally supplemented with helpful exercises and example problems. Revised to reflect students' ready access to mathematical computer programs that have advanced features and are easy to use, Incompressible Flow, Fourth Edition includes: Several more exact solutions of the Navier-Stokes equations Classic-style Fortran programs for the Hiemenz flow, the Psi-Omega method for entrance flow, and the laminar boundary layer program, all revised into MATLAB A new discussion of the global vorticity boundary restriction A revised vorticity dynamics chapter with new examples, including the ring line vortex and the Fraenkel-Norbury vortex solutions A discussion of the different behaviors that occur in subsonic and supersonic steady flows Additional emphasis on composite asymptotic expansions Incompressible Flow, Fourth Edition is the ideal coursebook for classes in fluid dynamics offered in mechanical, aerospace, and chemical engineering programs.

Author : Geoffrey J. Pert
Publisher : John Wiley & Sons
ISBN 13 : 1118574036
Total Pages : 490 pages
Book Rating : 4.34/5 ( download)

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Download or read book Introductory Fluid Mechanics for Physicists and Mathematicians written by Geoffrey J. Pert and published by John Wiley & Sons. This book was released on 2013-03-29 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents essential methodology for physicists of the theory and applications of fluid mechanics within a single volume. Building steadily through a syllabus, it will be relevant to almost all undergraduate physics degrees which include an option on hydrodynamics, or a course in which hydrodynamics figures prominently.