Symmetry And Fluid Mechanics

Author : Rahmat Ellahi
Publisher : MDPI
Page : 446 pages
File Size : 43,7 Mb
Release : 2020-03-25
Category : Science
ISBN : 9783039284269

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Symmetry and Fluid Mechanics by Rahmat Ellahi Pdf

Since the 1980s, attention has increased in the research of fluid mechanics due to its wide application in industry and phycology. Major advances have occurred in the modeling of key topics such Newtonian and non-Newtonian fluids, nanoparticles, thermal management, and physiological fluid phenomena in biological systems, which have been published in this Special Issue on symmetry and fluid mechanics for Symmetry. Although, this book is not a formal textbook, it will be useful for university teachers, research students, and industrial researchers and for overcoming the difficulties that occur when considering the nonlinear governing equations. For such types of equations, obtaining an analytic or even a numerical solution is often more difficult. This book addresses this challenging job by outlining the latest techniques. In addition, the findings of the simulation are logically realistic and meet the standard of sufficient scientific value.

Author : Rehmat Ellahi
Publisher : Unknown
Page : 446 pages
File Size : 53,8 Mb
Release : 2020
Category : Engineering (General). Civil engineering (General)
ISBN : 3039284274

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Symmetry and Fluid Mechanics by Rehmat Ellahi Pdf

Since the 1980s, attention has increased in the research of fluid mechanics due to its wide application in industry and phycology. Major advances have occurred in the modeling of key topics such Newtonian and non-Newtonian fluids, nanoparticles, thermal management, and physiological fluid phenomena in biological systems, which have been published in this Special Issue on symmetry and fluid mechanics for Symmetry. Although, this book is not a formal textbook, it will be useful for university teachers, research students, and industrial researchers and for overcoming the difficulties that occur when considering the nonlinear governing equations. For such types of equations, obtaining an analytic or even a numerical solution is often more difficult. This book addresses this challenging job by outlining the latest techniques. In addition, the findings of the simulation are logically realistic and meet the standard of sufficient scientific value.

Author : Hans G. Hornung
Publisher : Courier Corporation
Page : 80 pages
File Size : 52,7 Mb
Release : 2013-01-18
Category : Science
ISBN : 9780486150475

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Dimensional Analysis by Hans G. Hornung Pdf

Derived from a course in fluid mechanics, this text for advanced undergraduates and graduate students employs symmetry arguments to illustrate the principles of dimensional analysis. 2006 edition.

Author : Darryl D. Holm,Tanya Schmah,Cristina Stoica
Publisher : Oxford University Press
Page : 128 pages
File Size : 51,9 Mb
Release : 2009-07-30
Category : Mathematics
ISBN : 9780191549878

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Geometric Mechanics and Symmetry by Darryl D. Holm,Tanya Schmah,Cristina Stoica Pdf

Classical mechanics, one of the oldest branches of science, has undergone a long evolution, developing hand in hand with many areas of mathematics, including calculus, differential geometry, and the theory of Lie groups and Lie algebras. The modern formulations of Lagrangian and Hamiltonian mechanics, in the coordinate-free language of differential geometry, are elegant and general. They provide a unifying framework for many seemingly disparate physical systems, such as n particle systems, rigid bodies, fluids and other continua, and electromagnetic and quantum systems. Geometric Mechanics and Symmetry is a friendly and fast-paced introduction to the geometric approach to classical mechanics, suitable for a one- or two- semester course for beginning graduate students or advanced undergraduates. It fills a gap between traditional classical mechanics texts and advanced modern mathematical treatments of the subject. After a summary of the necessary elements of calculus on smooth manifolds and basic Lie group theory, the main body of the text considers how symmetry reduction of Hamilton's principle allows one to derive and analyze the Euler-Poincaré equations for dynamics on Lie groups. Additional topics deal with rigid and pseudo-rigid bodies, the heavy top, shallow water waves, geophysical fluid dynamics and computational anatomy. The text ends with a discussion of the semidirect-product Euler-Poincaré reduction theorem for ideal fluid dynamics. A variety of examples and figures illustrate the material, while the many exercises, both solved and unsolved, make the book a valuable class text.

Author : Roman Jackiw
Publisher : Springer Science & Business Media
Page : 121 pages
File Size : 48,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9781475736656

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Lectures on Fluid Dynamics by Roman Jackiw Pdf

Explains the motivation and reviewing the classical theory in a new form; Discusses conservation laws and Euler equations; For one-dimensional cases, the models presented are completely integrable

Author : Jerrold E. Marsden,Tudor S. Ratiu
Publisher : Springer Science & Business Media
Page : 593 pages
File Size : 50,8 Mb
Release : 2013-03-19
Category : Science
ISBN : 9780387217925

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Introduction to Mechanics and Symmetry by Jerrold E. Marsden,Tudor S. Ratiu Pdf

A development of the basic theory and applications of mechanics with an emphasis on the role of symmetry. The book includes numerous specific applications, making it beneficial to physicists and engineers. Specific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers, especially senior undergraduates and graduates in mathematics, physics and engineering. This second edition has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available.

Author : Adam Glowacz,Grzegorz Królczyk,Jose A. Antonino-Daviu
Publisher : MDPI
Page : 372 pages
File Size : 45,9 Mb
Release : 2020-06-03
Category : Technology & Engineering
ISBN : 9783039362141

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Symmetry in Mechanical Engineering by Adam Glowacz,Grzegorz Królczyk,Jose A. Antonino-Daviu Pdf

Recent advancements in mechanical engineering are an essential topic for discussion. The topics relating to mechanical engineering include the following: measurements of signals of shafts, springs, belts, bearings, gears, rotors, machine elements, vibration analysis, acoustic analysis, fault diagnosis, construction, analysis of machine operation, analysis of smart-material systems, integrated systems, stresses, analysis of deformations, analysis of mechanical properties, signal processing of mechanical systems, and rotor dynamics. Mechanical engineering deals with solid and fluid mechanics, rotation, movements, materials, and thermodynamics. This book, with 15 published articles, presents the topic “Symmetry in Mechanical Engineering”. The presented topic is interesting. It is categorized into eight different sections: Deformation; Stresses; Mechanical properties; Tribology; Thermodynamic; Measurement; Fault diagnosis; Machine. The development of techniques and methods related to mechanical engineering is growing every month. The described articles have made a contribution to mechanical engineering. The proposed research can find applications in factories, oil refineries, and mines. It is essential to develop new improved methods, techniques, and devices related to mechanical engineering.

Author : Philip Holmes,John L Lumley,Gahl Berkooz,Clarence W Rowley
Publisher : Unknown
Page : 404 pages
File Size : 53,5 Mb
Release : 2014-05-14
Category : SCIENCE
ISBN : 1139233661

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Turbulence, Coherent Structures, Dynamical Systems and Symmetry by Philip Holmes,John L Lumley,Gahl Berkooz,Clarence W Rowley Pdf

Describes methods revealing the structures and dynamics of turbulence for engineering, physical science and mathematics researchers working in fluid dynamics.

Author : Stephen Childress
Publisher : American Mathematical Soc.
Page : 218 pages
File Size : 44,5 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.

Author : Raphaël Danchin,Reinhard Farwig,Jiří Neustupa,Patrick Penel
Publisher : American Mathematical Soc.
Page : 128 pages
File Size : 50,8 Mb
Release : 2018-06-26
Category : Fluid mechanics
ISBN : 9781470436469

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Mathematical Analysis in Fluid Mechanics: Selected Recent Results by Raphaël Danchin,Reinhard Farwig,Jiří Neustupa,Patrick Penel Pdf

This volume contains the proceedings of the International Conference on Vorticity, Rotation and Symmetry (IV)—Complex Fluids and the Issue of Regularity, held from May 8–12, 2017, in Luminy, Marseille, France. The papers cover topics in mathematical fluid mechanics ranging from the classical regularity issue for solutions of the 3D Navier-Stokes system to compressible and non-Newtonian fluids, MHD flows and mixtures of fluids. Topics of different kinds of solutions, boundary conditions, and interfaces are also discussed.

Author : Philip Holmes
Publisher : Cambridge University Press
Page : 403 pages
File Size : 50,5 Mb
Release : 2012-02-23
Category : Mathematics
ISBN : 9781107008250

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Turbulence, Coherent Structures, Dynamical Systems and Symmetry by Philip Holmes Pdf

Describes methods revealing the structures and dynamics of turbulence for engineering, physical science and mathematics researchers working in fluid dynamics.

Author : Yunus Cengel,John Cimbala
Publisher : McGraw Hill
Page : 1033 pages
File Size : 40,8 Mb
Release : 2013-10-16
Category : Science
ISBN : 9780077173593

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EBOOK: Fluid Mechanics Fundamentals and Applications (SI units) by Yunus Cengel,John Cimbala Pdf

Fluid Mechanics: Fundamentals and Applications is written for the first fluid mechanics course for undergraduate engineering students, with sufficient material for a two-course sequence. This Third Edition in SI Units has the same objectives and goals as previous editions: Communicates directly with tomorrow’s engineers in a simple yet precise manner Covers the basic principles and equations of fluid mechanics in the context of numerous and diverse real-world engineering examples and applications Helps students develop an intuitive understanding of fluid mechanics by emphasizing the physical underpinning of processes and by utilizing numerous informative figures, photographs, and other visual aids to reinforce the basic concepts Encourages creative thinking, interest and enthusiasm for fluid mechanics New to this edition All figures and photographs are enhanced by a full color treatment. New photographs for conveying practical real-life applications of materials have been added throughout the book. New Application Spotlights have been added to the end of selected chapters to introduce industrial applications and exciting research projects being conducted by leaders in the field about material presented in the chapter. New sections on Biofluids have been added to Chapters 8 and 9. Addition of Fundamentals of Engineering (FE) exam-type problems to help students prepare for Professional Engineering exams.

Author : Paul C. Matthews
Publisher : Springer Science & Business Media
Page : 196 pages
File Size : 46,9 Mb
Release : 2000-01-14
Category : Mathematics
ISBN : 3540761802

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Vector Calculus by Paul C. Matthews Pdf

Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in three-dimensional space and the way in which these quantities vary. Many topics in the physical sciences can be analysed mathematically using the techniques of vector calculus. These top ics include fluid dynamics, solid mechanics and electromagnetism, all of which involve a description of vector and scalar quantities in three dimensions. This book assumes no previous knowledge of vectors. However, it is assumed that the reader has a knowledge of basic calculus, including differentiation, integration and partial differentiation. Some knowledge of linear algebra is also required, particularly the concepts of matrices and determinants. The book is designed to be self-contained, so that it is suitable for a pro gramme of individual study. Each of the eight chapters introduces a new topic, and to facilitate understanding of the material, frequent reference is made to physical applications. The physical nature of the subject is clarified with over sixty diagrams, which provide an important aid to the comprehension of the new concepts. Following the introduction of each new topic, worked examples are provided. It is essential that these are studied carefully, so that a full un derstanding is developed before moving ahead. Like much of mathematics, each section of the book is built on the foundations laid in the earlier sections and chapters.

Author : Gualtiero Badin,Fulvio Crisciani
Publisher : Springer
Page : 218 pages
File Size : 52,7 Mb
Release : 2017-08-29
Category : Science
ISBN : 9783319596952

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Variational Formulation of Fluid and Geophysical Fluid Dynamics by Gualtiero Badin,Fulvio Crisciani Pdf

This book describes the derivation of the equations of motion of fluids as well as the dynamics of ocean and atmospheric currents on both large and small scales through the use of variational methods. In this way the equations of Fluid and Geophysical Fluid Dynamics are re-derived making use of a unifying principle, that is Hamilton’s Principle of Least Action. The equations are analyzed within the framework of Lagrangian and Hamiltonian mechanics for continuous systems. The analysis of the equations’ symmetries and the resulting conservation laws, from Noether’s Theorem, represent the core of the description. Central to this work is the analysis of particle relabeling symmetry, which is unique for fluid dynamics and results in the conservation of potential vorticity. Different special approximations and relations, ranging from the semi-geostrophic approximation to the conservation of wave activity, are derived and analyzed. Thanks to a complete derivation of all relationships, this book is accessible for students at both undergraduate and graduate levels, as well for researchers. Students of theoretical physics and applied mathematics will recognize the existence of theoretical challenges behind the applied field of Geophysical Fluid Dynamics, while students of applied physics, meteorology and oceanography will be able to find and appreciate the fundamental relationships behind equations in this field.

Author : Silke Guenther
Publisher : Unknown
Page : 147 pages
File Size : 54,7 Mb
Release : 2005
Category : Electronic
ISBN : 3939579009

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Symmetry Methods for Turbulence Modeling by Silke Guenther Pdf