**Author**: Rutherford Aris

**Publisher:**Courier Corporation

**ISBN:**048613489X

**Category:**Mathematics

**Page:**320

**View:**9970

Skip to content
# Search Results for: vectors-tensors-and-the-basic-equations-of-fluid-mechanics-dover-books-on-mathematics

**Author**: Rutherford Aris

**Publisher:** Courier Corporation

**ISBN:** 048613489X

**Category:** Mathematics

**Page:** 320

**View:** 9970

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.

**Author**: Rutherford Aris

**Publisher:** Courier Corporation

**ISBN:** 0486661105

**Category:** Technology & Engineering

**Page:** 286

**View:** 7574

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.

**Author**: A. I. Borisenko,I. E. Tarapov

**Publisher:** Courier Corporation

**ISBN:** 0486131904

**Category:** Mathematics

**Page:** 288

**View:** 6492

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.

**Author**: Tsutomu Kambe

**Publisher:** World Scientific

**ISBN:** 9812564160

**Category:** Science

**Page:** 386

**View:** 3671

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.

**Author**: T. E. Faber

**Publisher:** Cambridge University Press

**ISBN:** 9780521429696

**Category:** Science

**Page:** 440

**View:** 9010

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.

**Author**: D. J. Acheson

**Publisher:** Oxford University Press

**ISBN:** 0198596790

**Category:** Mathematics

**Page:** 397

**View:** 6646

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.

**Author**: Richard E. Meyer

**Publisher:** Courier Corporation

**ISBN:** 0486151409

**Category:** Science

**Page:** 192

**View:** 2038

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.

**Author**: Lee A. Segel,G. H. Handelman

**Publisher:** Courier Dover Publications

**ISBN:** N.A

**Category:** Science

**Page:** 590

**View:** 8787

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

**Author**: L. M. Milne-Thomson

**Publisher:** Courier Corporation

**ISBN:** 0486318699

**Category:** Science

**Page:** 768

**View:** 9316

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**: Stephen Childress

**Publisher:** American Mathematical Soc.

**ISBN:** 0821848887

**Category:** Science

**Page:** 201

**View:** 9010

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**: Wei Shyy,H. S. Udaykumar,Madhukar M. Rao,Richard W. Smith

**Publisher:** Courier Corporation

**ISBN:** 0486135551

**Category:** Technology & Engineering

**Page:** 304

**View:** 7364

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.

**Author**: Ronald L. Panton

**Publisher:** John Wiley & Sons

**ISBN:** 1118013433

**Category:** Science

**Page:** 878

**View:** 4672

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**: G. A. Tokaty

**Publisher:** Courier Corporation

**ISBN:** 0486152650

**Category:** Technology & Engineering

**Page:** 272

**View:** 3328

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.

**Author**: Oskar Karl Gustav Tietjens,Ludwig Prandtl

**Publisher:** Courier Corporation

**ISBN:** 9780486603742

**Category:** Technology & Engineering

**Page:** 270

**View:** 5577

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.
*A History of Hydrodynamics from the Bernoullis to Prandtl*

**Author**: Olivier Darrigol

**Publisher:** Oxford University Press

**ISBN:** 9780198568438

**Category:** Mathematics

**Page:** 356

**View:** 3207

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.

**Author**: G. K. Batchelor

**Publisher:** Cambridge University Press

**ISBN:** 9780521663960

**Category:** Mathematics

**Page:** 615

**View:** 4379

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.
*Fluid Mechanics and Convective Transport Processes*

**Author**: L. Gary Leal

**Publisher:** Cambridge University Press

**ISBN:** 9781139462068

**Category:** Technology & Engineering

**Page:** N.A

**View:** 5347

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.

**Author**: I.G. Currie

**Publisher:** CRC Press

**ISBN:** 1439874603

**Category:** Technology & Engineering

**Page:** 603

**View:** 986

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.

**Author**: J. T. Oden,J. N. Reddy

**Publisher:** Courier Corporation

**ISBN:** 0486142213

**Category:** Technology & Engineering

**Page:** 448

**View:** 8576

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.

Full PDF Download Free

Privacy Policy

Copyright © 2018 Download PDF Site — Primer WordPress theme by GoDaddy