an introduction to fluid dynamics cambridge mathematical library

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An Introduction To Fluid Dynamics

Author : G. K. Batchelor
ISBN : 0521663962
Genre : Mathematics
File Size : 63. 51 MB
Format : PDF
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First published in 1967, Professor Batchelor's classic text on fluid dynamics is still one of the foremost texts in the subject. The careful presentation of the underlying theories of fluids is still timely and applicable, even in these days of almost limitless computer power. This re-issue should ensure that a new generation of graduate students see the elegance of Professor Batchelor's presentation.

An Introduction To Fluid Mechanics

Author : Faith A. Morrison
ISBN : 9781107003538
Genre : Mathematics
File Size : 56. 71 MB
Format : PDF, ePub
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"Why Study Fluid Mechanics? 1.1 Getting Motivated Flows are beautiful and complex. A swollen creek tumbles over rocks and through crevasses, swirling and foaming. A child plays with sticky tafy, stretching and reshaping the candy as she pulls it and twist it in various ways. Both the water and the tafy are fluids, and their motions are governed by the laws of nature. Our goal is to introduce the reader to the analysis of flows using the laws of physics and the language of mathematics. On mastering this material, the reader becomes able to harness flow to practical ends or to create beauty through fluid design. In this text we delve deeply into the mathematical analysis of flows, but before beginning, it is reasonable to ask if it is necessary to make this significant mathematical effort. After all, we can appreciate a flowing stream without understanding why it behaves as it does. We can also operate machines that rely on fluid behavior - drive a car for exam- 15 behavior? mathematical analysis. ple - without understanding the fluid dynamics of the engine, and we can even repair and maintain engines, piping networks, and other complex systems without having studied the mathematics of flow What is the purpose, then, of learning to mathematically describe fluid The answer to this question is quite practical: knowing the patterns fluids form and why they are formed, and knowing the stresses fluids generate and why they are generated is essential to designing and optimizing modern systems and devices. While the ancients designed wells and irrigation systems without calculations, we can avoid the wastefulness and tediousness of the trial-and-error process by using mathematical models"--

Fluid Dynamics Via Examples And Solutions

Author : Sergey Nazarenko
ISBN : 9781439888827
Genre : Science
File Size : 32. 97 MB
Format : PDF, ePub
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Fluid Dynamics via Examples and Solutions provides a substantial set of example problems and detailed model solutions covering various phenomena and effects in fluids. The book is ideal as a supplement or exam review for undergraduate and graduate courses in fluid dynamics, continuum mechanics, turbulence, ocean and atmospheric sciences, and related areas. It is also suitable as a main text for fluid dynamics courses with an emphasis on learning by example and as a self-study resource for practicing scientists who need to learn the basics of fluid dynamics. The author covers several sub-areas of fluid dynamics, types of flows, and applications. He also includes supplementary theoretical material when necessary. Each chapter presents the background, an extended list of references for further reading, numerous problems, and a complete set of model solutions.

Perspectives In Fluid Dynamics

Author : G. K. Batchelor
ISBN : 0521531691
Genre : Mathematics
File Size : 22. 84 MB
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Paperback edition of text on fluid dynamics for graduate students and specialists alike.

Introductory Fluid Mechanics For Physicists And Mathematicians

Author : G. J. Pert
ISBN : 9781119944843
Genre : Science
File Size : 65. 96 MB
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"This text will introduce the core ideas of fluid mechanics using both theoretical and experimental methods. The approach will be through physics and analytic methods. Empirical methods as used in engineering will be introduced when necessary if analytic methods are intractable"--

Understanding Fluid Flow

Author : Grae Worster
ISBN : 0521132894
Genre : Science
File Size : 29. 73 MB
Format : PDF
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Understanding Fluid Flow takes a fresh approach to introducing fluid dynamics, with physical reasoning and mathematical developments inextricably intertwined. The 'dry' fluid dynamics described by potential theory is set within the context of real viscous flows to give fundamental insight into how fluids behave. The book gives a flavor of theoretical, experimental and numerical approaches to analyzing fluid flow, and implicitly develops skills in applied mathematical modeling of physical systems. It is supplemented by movies that are freely downloadable.

A First Course In Fluid Dynamics

Author : A. R. Paterson
ISBN : 0521274249
Genre : Mathematics
File Size : 65. 82 MB
Format : PDF
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This book introduces the subject of fluid dynamics from the first principles.

A First Course In Computational Fluid Dynamics

Author : H. Aref
ISBN : 9781107178519
Genre : Science
File Size : 39. 88 MB
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Fluid mechanics is a branch of classical physics that has a rich tradition in applied mathematics and numerical methods. It is at work virtually everywhere, from nature to technology. This broad and fundamental coverage of computational fluid dynamics (CFD) begins with a presentation of basic numerical methods and flows into a rigorous introduction to the subject. A heavy emphasis is placed on the exploration of fluid mechanical physics through CFD, making this book an ideal text for any new course that simultaneously covers intermediate fluid mechanics and computation. Ample examples, problems and computer exercises are provided to allow students to test their understanding of a variety of numerical methods for solving flow physics problems, including the point-vortex method, numerical methods for hydrodynamic stability analysis, spectral methods and traditional CFD topics.

The Theory Of Homogeneous Turbulence

Author : G. K. Batchelor
ISBN : 0521041171
Genre : Mathematics
File Size : 53. 19 MB
Format : PDF, Kindle
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Reissue of Batchelor's classic text on the theory of turbulent motion, first published by CUP in 1953. Out of print for many years, it continues to be widely referred to in the professional literature of fluid mechanics.


Author : Peter Davidson
ISBN : 9780191034169
Genre : Mathematics
File Size : 42. 32 MB
Format : PDF, ePub
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This is an advanced textbook on the subject of turbulence, and is suitable for engineers, physical scientists and applied mathematicians. The aim of the book is to bridge the gap between the elementary accounts of turbulence found in undergraduate texts, and the more rigorous monographs on the subject. Throughout, the book combines the maximum of physical insight with the minimum of mathematical detail. Chapters 1 to 5 may be appropriate as background material for an advanced undergraduate or introductory postgraduate course on turbulence, while chapters 6 to 10 may be suitable as background material for an advanced postgraduate course on turbulence, or act as a reference source for professional researchers. This second edition covers a decade of advancement in the field, streamlining the original content while updating the sections where the subject has moved on. The expanded content includes large-scale dynamics, stratified & rotating turbulence, the increased power of direct numerical simulation, two-dimensional turbulence, Magnetohydrodynamics, and turbulence in the core of the Earth

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