Introductory Incompressible Fluid Mechanics

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Introductory Incompressible Fluid Mechanics

Author : Frank H. Berkshire,Simon J. A. Malham,J. Trevor Stuart
Publisher : Cambridge University Press
Page : 335 pages
File Size : 47,9 Mb
Release : 2021-12-02
Category : Science
ISBN : 9781316513736

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Introductory Incompressible Fluid Mechanics by Frank H. Berkshire,Simon J. A. Malham,J. Trevor Stuart Pdf

This textbook gives a comprehensive, accessible introduction to the mathematics of incompressible fluid mechanics and its many applications.

An Introduction to Theoretical Fluid Mechanics

Author : Stephen Childress
Publisher : American Mathematical Soc.
Page : 218 pages
File Size : 43,7 Mb
Release : 2009-10-09
Category : Science
ISBN : 9780821848883

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An Introduction to Theoretical Fluid Mechanics by Stephen Childress Pdf

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.

Basics of Fluid Mechanics and Introduction to Computational Fluid Dynamics

Author : Titus Petrila,Damian Trif
Publisher : Springer Science & Business Media
Page : 513 pages
File Size : 46,9 Mb
Release : 2006-06-14
Category : Mathematics
ISBN : 9780387238388

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Basics of Fluid Mechanics and Introduction to Computational Fluid Dynamics by Titus Petrila,Damian Trif Pdf

The present book – through the topics and the problems approach – aims at filling a gap, a real need in our literature concerning CFD (Computational Fluid Dynamics). Our presentation results from a large documentation and focuses on reviewing the present day most important numerical and computational methods in CFD. Many theoreticians and experts in the field have expressed their - terest in and need for such an enterprise. This was the motivation for carrying out our study and writing this book. It contains an important systematic collection of numerical working instruments in Fluid Dyn- ics. Our current approach to CFD started ten years ago when the Univ- sity of Paris XI suggested a collaboration in the field of spectral methods for fluid dynamics. Soon after – preeminently studying the numerical approaches to Navier–Stokes nonlinearities – we completed a number of research projects which we presented at the most important inter- tional conferences in the field, to gratifying appreciation. An important qualitative step in our work was provided by the dev- opment of a computational basis and by access to a number of expert softwares. This fact allowed us to generate effective working programs for most of the problems and examples presented in the book, an - pect which was not taken into account in most similar studies that have already appeared all over the world.

Introductory Fluid Mechanics

Author : Joseph Katz
Publisher : Cambridge University Press
Page : 128 pages
File Size : 43,7 Mb
Release : 2010-08-31
Category : Technology & Engineering
ISBN : 9781139490085

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Introductory Fluid Mechanics by Joseph Katz Pdf

The objective of this introductory text is to familiarise students with the basic elements of fluid mechanics so that they will be familiar with the jargon of the discipline and the expected results. At the same time, this book serves as a long-term reference text, contrary to the oversimplified approach occasionally used for such introductory courses. The second objective is to provide a comprehensive foundation for more advanced courses in fluid mechanics (within disciplines such as mechanical or aerospace engineering). In order to avoid confusing the students, the governing equations are introduced early, and the assumptions leading to the various models are clearly presented. This provides a logical hierarchy and explains the interconnectivity between the various models. Supporting examples demonstrate the principles and provide engineering analysis tools for many engineering calculations.

Vorticity and Incompressible Flow

Author : Andrew J. Majda,Andrea L. Bertozzi
Publisher : Cambridge University Press
Page : 562 pages
File Size : 51,9 Mb
Release : 2002
Category : Mathematics
ISBN : 0521639484

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Vorticity and Incompressible Flow by Andrew J. Majda,Andrea L. Bertozzi Pdf

This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprise a modern applied mathematics graduate course on the weak solution theory for incompressible flow.

High-Order Methods for Incompressible Fluid Flow

Author : M. O. Deville,P. F. Fischer,E. H. Mund
Publisher : Cambridge University Press
Page : 532 pages
File Size : 49,8 Mb
Release : 2002-08-15
Category : Mathematics
ISBN : 0521453097

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High-Order Methods for Incompressible Fluid Flow by M. O. Deville,P. F. Fischer,E. H. Mund Pdf

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Introduction to the Numerical Analysis of Incompressible Viscous Flows

Author : William Layton
Publisher : SIAM
Page : 220 pages
File Size : 43,9 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 9780898718904

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Introduction to the Numerical Analysis of Incompressible Viscous Flows by William Layton Pdf

Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.

An Introduction to the Mechanics of Incompressible Fluids

Author : Michel O. Deville
Publisher : Springer Nature
Page : 334 pages
File Size : 46,7 Mb
Release : 2022-09-06
Category : Technology & Engineering
ISBN : 9783031046834

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An Introduction to the Mechanics of Incompressible Fluids by Michel O. Deville Pdf

This open access book allows the reader to grasp the main bulk of fluid flow problems at a brisk pace. Starting with the basic concepts of conservation laws developed using continuum mechanics, the incompressibility of a fluid is explained and modeled, leading to the famous Navier-Stokes equation that governs the dynamics of fluids. Some exact solutions for transient and steady-state cases in Cartesian and axisymmetric coordinates are proposed. A particular set of examples is associated with creeping or Stokes flows, where viscosity is the dominant physical phenomenon. Irrotational flows are treated by introducing complex variables. The use of the conformal mapping and the Joukowski transformation allows the treatment of the flow around an airfoil. The boundary layer theory corrects the earlier approach with the Prandtl equations, their solution for the case of a flat plate, and the von Karman integral equation. The instability of fluid flows is studied for parallel flows using the Orr-Sommerfeld equation. The stability of a circular Couette flow is also described. The book ends with the modeling of turbulence by the Reynolds-averaged Navier-Stokes equations and large-eddy simulations. Each chapter includes useful practice problems and their solutions. The book is useful for engineers, physicists, and scientists interested in the fascinating field of fluid mechanics.

Introduction to Mathematical Fluid Dynamics

Author : Richard E. Meyer
Publisher : Courier Corporation
Page : 192 pages
File Size : 50,6 Mb
Release : 2012-03-09
Category : Science
ISBN : 9780486151403

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Introduction to Mathematical Fluid Dynamics by Richard E. Meyer Pdf

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.

An Introduction to the Mechanics of Incompressible Fluids

Author : Michel O. Deville
Publisher : Springer
Page : 0 pages
File Size : 41,7 Mb
Release : 2022-08-30
Category : Technology & Engineering
ISBN : 303104682X

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An Introduction to the Mechanics of Incompressible Fluids by Michel O. Deville Pdf

This open access book allows the reader to grasp the main bulk of fluid flow problems at a brisk pace. Starting with the basic concepts of conservation laws developed using continuum mechanics, the incompressibility of a fluid is explained and modeled, leading to the famous Navier-Stokes equation that governs the dynamics of fluids. Some exact solutions for transient and steady-state cases in Cartesian and axisymmetric coordinates are proposed. A particular set of examples is associated with creeping or Stokes flows, where viscosity is the dominant physical phenomenon. Irrotational flows are treated by introducing complex variables. The use of the conformal mapping and the Joukowski transformation allows the treatment of the flow around an airfoil. The boundary layer theory corrects the earlier approach with the Prandtl equations, their solution for the case of a flat plate, and the von Karman integral equation. The instability of fluid flows is studied for parallel flows using the Orr-Sommerfeld equation. The stability of a circular Couette flow is also described. The book ends with the modeling of turbulence by the Reynolds-averaged Navier-Stokes equations and large-eddy simulations. Each chapter includes useful practice problems and their solutions. The book is useful for engineers, physicists, and scientists interested in the fascinating field of fluid mechanics.

Incompressible Flow

Author : Ronald L. Panton
Publisher : John Wiley & Sons
Page : 912 pages
File Size : 43,6 Mb
Release : 2013-07-18
Category : Science
ISBN : 9781118415733

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Incompressible Flow by Ronald L. Panton Pdf

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.

An Introduction to the Mechanics of Fluids

Author : C. Truesdell,K. R. Rajagopal
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 42,7 Mb
Release : 2010-10-05
Category : Technology & Engineering
ISBN : 9780817648466

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An Introduction to the Mechanics of Fluids by C. Truesdell,K. R. Rajagopal Pdf

A compact, moderately general book which encompasses many fluid models of current interest...The book is written very clearly and contains a large number of exercises and their solutions. The level of mathematics is that commonly taught to undergraduates in mathematics departments.. —Mathematical Reviews The book should be useful for graduates and researchers not only in applied mathematics and mechanical engineering but also in advanced materials science and technology...Each public scientific library as well as hydrodynamics hand libraries should own this timeless book...Everyone who decides to buy this book can be sure to have bought a classic of science and the heritage of an outstanding scientist. —Silikáty All applied mathematicians, mechanical engineers, aerospace engineers, and engineering mechanics graduates and researchers will find the book an essential reading resource for fluids. —Simulation News Europe

A Mathematical Introduction to Fluid Mechanics

Author : Alexandre J. Chorin,Jerrold E. Marsden
Publisher : Springer Science & Business Media
Page : 176 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468403640

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A Mathematical Introduction to Fluid Mechanics by Alexandre J. Chorin,Jerrold E. Marsden Pdf

Mathematical Introduction to Fluid Mechanics presents some selected highlights of currently interesting topics in fluid mechanics in a compact form, as well as providing a concise and appealing exposition of the basic theory of fluid mechanics. The first chapter contains an elementary derivation of the equations, and the concept of vorticity is introduced. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented. Chapter 3 contains an analysis of one-dimensional gas flow from a mildly modern point of view. Weak solution, Riemann problems, Glimm's scheme, and combustion waves are covered.

Introduction to Computational Fluid Dynamics

Author : Pradip Niyogi
Publisher : Pearson Education India
Page : 606 pages
File Size : 54,7 Mb
Release : 2006
Category : Science
ISBN : 8177587641

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Introduction to Computational Fluid Dynamics by Pradip Niyogi Pdf

Introduction to Computational Fluid Dynamics is a self-contained introduction to a new subject, arising through the amalgamation of classical fluid dynamics and numerical analysis supported by powerful computers. Written in the style of a text book for advanced level B.Tech, M.Tech and M.Sc. students of various science and engineering disciplines. It introduces the reader to finite-difference and finite-volume methods for studying and analyzing linear and non-linear problems of fluid flow governed by inviscid incompressible and compressible Euler equations as also incompressible and compressible viscous flows governed by boundary-layer and Navier-Stokes equations. Simple turbulence modelling has been presented.

An Introduction to Fluid Dynamics

Author : G. K. Batchelor
Publisher : Cambridge University Press
Page : 662 pages
File Size : 44,8 Mb
Release : 2000-02-28
Category : Science
ISBN : 9781139643467

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An Introduction to Fluid Dynamics by G. K. Batchelor Pdf

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.