Vectors, Tensors and the Basic Equations of Fluid Mechanics


Author: Rutherford Aris
Publisher: Courier Corporation
ISBN: 048613489X
Category: Mathematics
Page: 320
View: 9970

Continue Reading →

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.

Vectors, Tensors and the Basic Equations of Fluid Mechanics


Author: Rutherford Aris
Publisher: Courier Corporation
ISBN: 0486661105
Category: Technology & Engineering
Page: 286
View: 7574

Continue Reading →

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.

Vector and Tensor Analysis with Applications


Author: A. I. Borisenko,I. E. Tarapov
Publisher: Courier Corporation
ISBN: 0486131904
Category: Mathematics
Page: 288
View: 6492

Continue Reading →

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.

Elementary Fluid Mechanics


Author: Tsutomu Kambe
Publisher: World Scientific
ISBN: 9812564160
Category: Science
Page: 386
View: 3671

Continue Reading →

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.

Fluid Dynamics for Physicists


Author: T. E. Faber
Publisher: Cambridge University Press
ISBN: 9780521429696
Category: Science
Page: 440
View: 9010

Continue Reading →

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.

Elementary Fluid Dynamics


Author: D. J. Acheson
Publisher: Oxford University Press
ISBN: 0198596790
Category: Mathematics
Page: 397
View: 6646

Continue Reading →

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.

Introduction to Mathematical Fluid Dynamics


Author: Richard E. Meyer
Publisher: Courier Corporation
ISBN: 0486151409
Category: Science
Page: 192
View: 2038

Continue Reading →

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.

Mathematics Applied to Continuum Mechanics


Author: Lee A. Segel,G. H. Handelman
Publisher: Courier Dover Publications
ISBN: N.A
Category: Science
Page: 590
View: 8787

Continue Reading →

Analyzes models of fluid flow and solid deformation. For upper-level math, science and engineering students.

Theoretical Hydrodynamics


Author: L. M. Milne-Thomson
Publisher: Courier Corporation
ISBN: 0486318699
Category: Science
Page: 768
View: 9316

Continue Reading →

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.

An Introduction to Theoretical Fluid Mechanics


Author: Stephen Childress
Publisher: American Mathematical Soc.
ISBN: 0821848887
Category: Science
Page: 201
View: 9010

Continue Reading →

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.

Computational Fluid Dynamics with Moving Boundaries


Author: Wei Shyy,H. S. Udaykumar,Madhukar M. Rao,Richard W. Smith
Publisher: Courier Corporation
ISBN: 0486135551
Category: Technology & Engineering
Page: 304
View: 7364

Continue Reading →

This text describes several computational techniques that can be applied to a variety of problems in thermo-fluid physics, multi-phase flow, and applied mechanics involving moving flow boundaries. 1996 edition.

Incompressible Flow


Author: Ronald L. Panton
Publisher: John Wiley & Sons
ISBN: 1118013433
Category: Science
Page: 878
View: 4672

Continue Reading →

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.

A History and Philosophy of Fluid Mechanics


Author: G. A. Tokaty
Publisher: Courier Corporation
ISBN: 0486152650
Category: Technology & Engineering
Page: 272
View: 3328

Continue Reading →

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.

Fundamentals of Hydro- and Aeromechanics


Author: Oskar Karl Gustav Tietjens,Ludwig Prandtl
Publisher: Courier Corporation
ISBN: 9780486603742
Category: Technology & Engineering
Page: 270
View: 5577

Continue Reading →

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.

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: 3207

Continue Reading →

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.

An Introduction to Fluid Dynamics


Author: G. K. Batchelor
Publisher: Cambridge University Press
ISBN: 9780521663960
Category: Mathematics
Page: 615
View: 4379

Continue Reading →

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.

Advanced Transport Phenomena

Fluid Mechanics and Convective Transport Processes
Author: L. Gary Leal
Publisher: Cambridge University Press
ISBN: 9781139462068
Category: Technology & Engineering
Page: N.A
View: 5347

Continue Reading →

Advanced Transport Phenomena is ideal as a graduate textbook. It contains a detailed discussion of modern analytic methods for the solution of fluid mechanics and heat and mass transfer problems, focusing on approximations based on scaling and asymptotic methods, beginning with the derivation of basic equations and boundary conditions and concluding with linear stability theory. Also covered are unidirectional flows, lubrication and thin-film theory, creeping flows, boundary layer theory, and convective heat and mass transport at high and low Reynolds numbers. The emphasis is on basic physics, scaling and nondimensionalization, and approximations that can be used to obtain solutions that are due either to geometric simplifications, or large or small values of dimensionless parameters. The author emphasizes setting up problems and extracting as much information as possible short of obtaining detailed solutions of differential equations. The book also focuses on the solutions of representative problems. This reflects the book's goal of teaching readers to think about the solution of transport problems.

Fundamental Mechanics of Fluids, Fourth Edition


Author: I.G. Currie
Publisher: CRC Press
ISBN: 1439874603
Category: Technology & Engineering
Page: 603
View: 986

Continue Reading →

Fundamental Mechanics of Fluids, Fourth Edition addresses the need for an introductory text that focuses on the basics of fluid mechanics—before concentrating on specialized areas such as ideal-fluid flow and boundary-layer theory. Filling that void for both students and professionals working in different branches of engineering, this versatile instructional resource comprises five flexible, self-contained sections: Governing Equations deals with the derivation of the basic conservation laws, flow kinematics, and some basic theorems of fluid mechanics. Ideal-Fluid Flow covers two- and three-dimensional potential flows and surface waves. Viscous Flows of Incompressible Fluids discusses exact solutions, low-Reynolds-number approximations, boundary-layer theory, and buoyancy-driven flows. Compressible Flow of Inviscid Fluids addresses shockwaves as well as one- and multidimensional flows. Methods of Mathematical Analysis summarizes some commonly used analysis techniques. Additional appendices offer a synopsis of vectors, tensors, Fourier series, thermodynamics, and the governing equations in the common coordinate systems. The book identifies the phenomena associated with the various properties of compressible, viscous fluids in unsteady, three-dimensional flow situations. It provides techniques for solving specific types of fluid-flow problems, and it covers the derivation of the basic equations governing the laminar flow of Newtonian fluids, first assessing general situations and then shifting focus to more specific scenarios. The author illustrates the process of finding solutions to the governing equations. In the process, he reveals both the mathematical methodology and physical phenomena involved in each category of flow situation, which include ideal, viscous, and compressible fluids. This categorization enables a clear explanation of the different solution methods and the basis for the various physical consequences of fluid properties and flow characteristics. Armed with this new understanding, readers can then apply the appropriate equation results to deal with the particular circumstances of their own work.

An Introduction to the Mathematical Theory of Finite Elements


Author: J. T. Oden,J. N. Reddy
Publisher: Courier Corporation
ISBN: 0486142213
Category: Technology & Engineering
Page: 448
View: 8576

Continue Reading →

This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.