• Mathematics

Vectors, Tensors and the Basic Equations of Fluid Mechanics


Author: Rutherford Aris
Publisher: Courier Corporation
ISBN: 048613489X
Category: Mathematics
Page: 320
View: 4125
Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.

    • Technology & Engineering

Vectors, Tensors and the Basic Equations of Fluid Mechanics


Author: Rutherford Aris
Publisher: Courier Corporation
ISBN: 0486661105
Category: Technology & Engineering
Page: 286
View: 5556
Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.

    • Science

Introduction to Mathematical Fluid Dynamics


Author: Richard E. Meyer
Publisher: Courier Corporation
ISBN: 0486151409
Category: Science
Page: 192
View: 6698
Excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. Geared toward advanced undergraduate and graduate students of mathematics and science; prerequisites include calculus and vector analysis. 1971 edition.

    • Science

Elementary Fluid Mechanics


Author: Tsutomu Kambe
Publisher: World Scientific
ISBN: 9812564160
Category: Science
Page: 386
View: 4646
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.

    • Science

Fluid Dynamics for Physicists


Author: T. E. Faber
Publisher: Cambridge University Press
ISBN: 9780521429696
Category: Science
Page: 440
View: 9363
This textbook provides an accessible and comprehensive account of fluid dynamics that emphasizes fundamental physical principles and stresses connections with other branches of physics. Beginning with a basic introduction, the book goes on to cover many topics not typically treated in texts, such as compressible flow and shock waves, sound attenuation and bulk viscosity, solitary waves and ship waves, thermal convection, instabilities, turbulence, and the behavior of anisotropic, non-Newtonian and quantum fluids. Undergraduate or graduate students in physics or engineering who are taking courses in fluid dynamics will find this book invaluable.

    • Science

Mathematics Applied to Continuum Mechanics


Author: Lee A. Segel,G. H. Handelman
Publisher: Courier Dover Publications
ISBN: N.A
Category: Science
Page: 590
View: 6267
Analyzes models of fluid flow and solid deformation. For upper-level math, science and engineering students.

    • Science

Continuum Mechanics


Author: A. J. M. Spencer
Publisher: Courier Corporation
ISBN: 0486139476
Category: Science
Page: 192
View: 3308
Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.

    • Mathematics

Elementary Fluid Dynamics


Author: D. J. Acheson
Publisher: Oxford University Press
ISBN: 0198596790
Category: Mathematics
Page: 397
View: 6816
This textbook provides a clear and concise introduction to both theory and application of fluid dynamics, suitable for all undergraduates coming to the subject for the first time. It has a wide scope, with frequent references to experiments, and numerous exercises illustrating the main ideas.

    • Science

Incompressible Flow


Author: Ronald L. Panton
Publisher: John Wiley & Sons
ISBN: 1118415736
Category: Science
Page: 912
View: 2835
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.

    • Technology & Engineering

A History and Philosophy of Fluid Mechanics


Author: G. A. Tokaty
Publisher: Courier Corporation
ISBN: 0486152650
Category: Technology & Engineering
Page: 272
View: 560
Summary and general methods of constructing static and dynamic equations, dealing with the laws of mechanics for heated elastic solids, forms of aerodynamic operators, structural operators, much more. 1962 edition.

    • Science

Physical Fluid Dynamics


Author: D. J. Tritton
Publisher: Springer Science & Business Media
ISBN: 9400999925
Category: Science
Page: 362
View: 9782
To classify a book as 'experimental' rather than 'theoretical' or as 'pure' rather than 'applied' is liable to imply umeal distinctions. Nevertheless, some Classification is necessary to teIl the potential reader whether the book is for him. In this spirit, this book may be said to treat fluid dynamies as a branch of physics, rather than as a branch of applied mathematics or of engineering. I have often heard expressions of the need for such a book, and certainly I have feIt it in my own teaching. I have written it primariIy for students of physics and of physics-based applied science, aIthough I hope others may find it useful. The book differs from existing 'fundamental' books in placing much greater emphasis on what we know through laboratory experiments and their physical interpretation and less on the mathe matieal formalism. It differs from existing 'applied' books in that the choice of topics has been made for the insight they give into the behaviour of fluids in motion rather than for their practical importance. There are differences also from many existing books on fluid dynamics in the branches treated, reflecting to some extent shifts of interest in reeent years. In particular, geophysical and astrophysical applications have prompted important fundamental developments in topics such as conveetion, stratified flow, and the dynamics of rotating fluids. These developments have hitherto been reflected in the contents of textbooks only to a limited extent.

    • Technology & Engineering

Fundamentals of Hydro- and Aeromechanics


Author: Oskar Karl Gustav Tietjens,Ludwig Prandtl
Publisher: Courier Corporation
ISBN: 9780486603742
Category: Technology & Engineering
Page: 270
View: 7989
Prandtl''s pioneering experiments laid the basis for the use of theoretical hydromechanics and hydrodynamics in practical engineering problems. This volume presents Tietjens'' famous expansion of Prandtl''s lectures: statics and kinematics of liquids and gases, dynamics of non-viscous liquids. Proofs use vector analysis.

    • Science

An Introduction to the Theory of the Boltzmann Equation


Author: Stewart Harris
Publisher: Courier Corporation
ISBN: 0486143821
Category: Science
Page: 256
View: 6162
This introductory graduate-level text emphasizes physical aspects of the theory of Boltzmann's equation in a detailed presentation that doubles as a practical resource for professionals. 1971 edition.

    • Mathematics

Worlds of Flow

A History of Hydrodynamics from the Bernoullis to Prandtl
Author: Olivier Darrigol
Publisher: Oxford University Press
ISBN: 9780198568438
Category: Mathematics
Page: 356
View: 4876
This book provides the first fully-fledged history of hydrodynamics, including lively accounts of the concrete problems of hydraulics, navigation, blood circulation, meteorology, and aeronautics that motivated the main conceptual innovations. Richly illustrated, technically competent, and philosophically sensitive, it should attract a broad audience and become a standard reference for any one interested in fluid mechanics.

    • Mathematics

Vector and Tensor Analysis with Applications


Author: A. I. Borisenko,I. E. Tarapov
Publisher: Courier Corporation
ISBN: 0486131904
Category: Mathematics
Page: 288
View: 6397
Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.

    • Science

Continuum Mechanics

Concise Theory and Problems
Author: P. Chadwick
Publisher: Courier Corporation
ISBN: 048613914X
Category: Science
Page: 200
View: 5208
DIVComprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. /div

    • Mathematics

Introduction to Tensor Analysis and the Calculus of Moving Surfaces


Author: Pavel Grinfeld
Publisher: Springer Science & Business Media
ISBN: 1461478677
Category: Mathematics
Page: 302
View: 8186
This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The author’s skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 – when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem.

    • Science

Fluid Mechanics


Author: Robert A. Granger
Publisher: Courier Corporation
ISBN: 0486135055
Category: Science
Page: 928
View: 1535
Structured introduction covers everything the engineer needs to know: nature of fluids, hydrostatics, differential and integral relations, dimensional analysis, viscous flows, more. Solutions to selected problems. 760 illustrations. 1985 edition.

    • Science

A Gallery of Fluid Motion


Author: M. Samimy,K. S. Breuer,L. G. Leal,P. H. Steen
Publisher: Cambridge University Press
ISBN: 9780521535007
Category: Science
Page: 128
View: 5548
The visualization of fluid flow has played a major role in the development of fluid dynamics and its applications, from the evolution of flight to tracking weather, and understanding the flow of blood. The Fluid Dynamics Division of the American Physical Society sponsors an annual competition for outstanding images of fluid flow. This volume includes a selection of winners from 1985 to the present. Each image is accompanied by some explanatory text, making the volume an important acquisition for anyone involved in fluid flow research.