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Classical Fluid Mechanics

Author: Michael Belevich

Publisher: Bentham Science Publishers

Published: 2017-09-19

Total Pages: 255

ISBN-13: 1681084090

This textbook primarily explains the construction of classical fluid model to readers in a holistic manner and the way it is constructed. Secondly, the book also demonstrates some possible modifications of the initial model which either make the model applicable in some special cases (viscous or turbulent fluids) or simplify it in accordance with peculiarity of a particular problem (hydrostatics, two-dimensional flows, boundary layers, etc.). The book explains theoretical concepts in two parts. The first part is dedicated to the derivation of the classical model of the perfect fluid. The second part of the book covers important modifications to the fluid model which account for calculations of momentum, force and the laws of energy conservation. Concepts in this section include the redefinition of the stress tensor in cases of viscous or turbulent flows and laminar and turbulent boundary layers. The text is supplemented by appropriate exercises and problems which may be used in practical classes. These additions serve to teach students how to work with complex systems governed by differential equations. Classical Fluid Mechanics is an ideal textbook for students undertaking semester courses on fluid physics and mechanics in undergraduate degree programs. This textbook primarily explains the construction of classical fluid model to readers in a holistic manner and the way it is constructed. Secondly, the book also demonstrates some possible modifications of the initial model which either make the model applicable in some special cases (viscous or turbulent fluids) or simplify it in accordance with peculiarity of a particular problem (hydrostatics, two-dimensional flows, boundary layers, etc.). The book explains theoretical concepts in two parts. The first part is dedicated to the derivation of the classical model of the perfect fluid. The second part of the book covers important modifications to the fluid model which account for calculations of momentum, force and the laws of energy conservation. Concepts in this section include the redefinition of the stress tensor in cases of viscous or turbulent flows and laminar and turbulent boundary layers. The text is supplemented by appropriate exercises and problems which may be used in practical classes. These additions serve to teach students how to work with complex systems governed by differential equations. Classical Fluid Mechanics is an ideal textbook for students undertaking semester courses on fluid physics and mechanics in undergraduate degree programs.

Fluid Dynamics

Author: Anatoly I. Ruban

Publisher: OUP Oxford

Published: 2014-05-08

Total Pages: 336

ISBN-13: 0191503967

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This is the first book in a four-part series designed to give a comprehensive and coherent description of Fluid Dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. The present Part 1 consists of four chapters. Chapter 1 begins with a discussion of Continuum Hypothesis, which is followed by an introduction to macroscopic functions, the velocity vector, pressure, density, and enthalpy. We then analyse the forces acting inside a fluid, and deduce the Navier-Stokes equations for incompressible and compressible fluids in Cartesian and curvilinear coordinates. In Chapter 2 we study the properties of a number of flows that are presented by the so-called exact solutions of the Navier-Stokes equations, including the Couette flow between two parallel plates, Hagen-Poiseuille flow through a pipe, and Karman flow above an infinite rotating disk. Chapter 3 is devoted to the inviscid incompressible flow theory, with particular focus on two-dimensional potential flows. These can be described in terms of the "complex potential", allowing the full power of the theory of functions of complex variables to be used. We discuss in detail the method of conformal mapping, which is then used to study various flows of interest, including the flows past Joukovskii aerofoils. The final Chapter 4 is concerned with compressible flows of perfect gas, including supersonic flows. Particular attention is given to the theory of characteristics, which is used, for example, to analyse the Prandtl-Meyer flow over a body surface bend and a corner. Significant attention is also devoted to the shock waves. The chapter concludes with analysis of unsteady flows, including the theory of blast waves.

An Introduction to Theoretical Fluid Mechanics

Author: Stephen Childress

Publisher: American Mathematical Soc.

Published: 2009-10-09

Total Pages: 218

ISBN-13: 0821848887

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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.

Physics of Continuous Matter, Second Edition

Author: B. Lautrup

Publisher: CRC Press

Published: 2011-03-22

Total Pages: 698

ISBN-13: 1420077007

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Physics of Continuous Matter: Exotic and Everyday Phenomena in the Macroscopic World, Second Edition provides an introduction to the basic ideas of continuum physics and their application to a wealth of macroscopic phenomena. The text focuses on the many approximate methods that offer insight into the rich physics hidden in fundamental continuum mechanics equations. Like its acclaimed predecessor, this second edition introduces mathematical tools on a "need-to-know" basis. New to the Second Edition This edition includes three new chapters on elasticity of slender rods, energy, and entropy. It also offers more margin drawings and photographs and improved images of simulations. Along with reorganizing much of the material, the author has revised many of the physics arguments and mathematical presentations to improve clarity and consistency. The collection of problems at the end of each chapter has been expanded as well. These problems further develop the physical and mathematical concepts presented. With worked examples throughout, this book clearly illustrates both qualitative and quantitative physics reasoning. It emphasizes the importance in understanding the physical principles behind equations and the conditions underlying approximations. A companion website provides a host of ancillary materials, including software programs, color figures, and additional problems.

An Introduction to Fluid Mechanics

Author: Faith A. Morrison

Publisher: Cambridge University Press

Published: 2013-04-15

Total Pages: 945

ISBN-13: 1139619314

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This is a modern and elegant introduction to engineering fluid mechanics enriched with numerous examples, exercises and applications. A swollen creek tumbles over rocks and through crevasses, swirling and foaming. Taffy can be stretched, reshaped and twisted in various ways. Both the water and the taffy are fluids and their motions are governed by the laws of nature. The aim of this textbook is to introduce the reader to the analysis of flows using the laws of physics and the language of mathematics. The book delves deeply into the mathematical analysis of flows; knowledge of the patterns fluids form and why they are formed, and also the stresses fluids generate and why they are generated, is essential to designing and optimising modern systems and devices. Inventions such as helicopters and lab-on-a-chip reactors would never have been designed without the insight provided by mathematical models.

Fluid Mechanics

Author: Pijush K. Kundu

Publisher: Academic Press

Published: 2012

Total Pages: 919

ISBN-13: 0123821002

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Suitable for both a first or second course in fluid mechanics at the graduate or advanced undergraduate level, this book presents the study of how fluids behave and interact under various forces and in various applied situations - whether in the liquid or gaseous state or both.

Basics of Fluid Mechanics

Author: Genick Bar-Meir

Publisher: Orange Grove Texts Plus

Published: 2009-09-24

Total Pages: 0

ISBN-13: 9781616100940

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This book describes the fundamentals of fluid mechanics phenomena for engineers and others. This book is designed to replace all introductory textbook(s) or instructor's notes for the fluid mechanics in undergraduate classes for engineering/science students but also for technical people. It is hoped that the book could be used as a reference book for people who have at least some basics knowledge of science areas such as calculus, physics, etc. This version is a PDF document. The website [http: //www.potto.org/FM/fluidMechanics.pdf ] contains the book broken into sections, and also has LaTeX resources

Intermediate Fluid Mechanics

Author: James Liburdy

Publisher:

Published: 2021-09-16

Total Pages:

ISBN-13: 9781955101103

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Theoretical Fluid Mechanics

Author: Richard Fitzpatrick

Publisher:

Published: 2017

Total Pages: 0

ISBN-13: 9780750315531

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"Theoretical Fluid Mechanics' has been written to aid physics students who wish to pursue a course of self-study in fluid mechanics. It is a comprehensive, completely self-contained text with equations of fluid mechanics derived from first principles, and any required advanced mathematics is either fully explained in the text, or in an appendix. It is accompanied by about 180 exercises with completely worked out solutions. It also includes extensive sections on the application of fluid mechanics to topics of importance in astrophysics and geophysics. These topics include the equilibrium of rotating, self-gravitating, fluid masses; tidal bores; terrestrial ocean tides; and the Eddington solar model."--Prové de l'editor.

Fluid Dynamics

Author: Anatoliĭ Ivanovich Ruban

Publisher: Oxford University Press, USA

Published: 2014

Total Pages: 329

ISBN-13: 0199681732

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This text is designed to give a comprehensive and coherent description of classical fluid dynamics which is suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. Topics includeed in this text are: A discussion of Continuum Hypothesis, which is followed by an introduction to macroscopic functions, the velocity vector, pressure, density, and enthalpy ; Properties of a number of flows that are presented by the so-called exact solutions of the Navier-Stokes equations, including the Couette flow between two parallel plates, Hagen-Poiseuille flow through a pipe, and Karman flow above an infinite rotating disk ; Inviscid incompressible flow theory, with particular focus on two-dimensional potential flows ; Compressible flows of perfect gas, including supersonic flows.