Asymptotic Methods In Fluid Mechanics Survey And Recent Advances

Author : Herbert Steinrück
Publisher : Springer Science & Business Media
ISBN 13 : 3709104084
Total Pages : 426 pages
Book Rating : 4.88/5 ( download)

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Download or read book Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances written by Herbert Steinrück and published by Springer Science & Business Media. This book was released on 2012-01-29 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.

Author : Panayotis G. Kevrekidis
Publisher : Springer
ISBN 13 : 3030118398
Total Pages : 311 pages
Book Rating : 4.96/5 ( download)

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Download or read book A Dynamical Perspective on the ɸ4 Model written by Panayotis G. Kevrekidis and published by Springer. This book was released on 2019-02-26 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a careful selection of the most important developments of the \phi^4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead. Over the past four decades, the \phi^4 model has been the basis for a broad array of developments in the physics and mathematics of nonlinear waves. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral properties, and from deterministic to stochastic models of \phi^4 (and \phi^6, \phi^8, \phi^12 variants more recently), this dynamical model has served as an excellent test bed for formulating and testing the ideas of nonlinear science and solitary waves.

Author : Vladimir V. Sychev
Publisher : Cambridge University Press
ISBN 13 : 9780521455305
Total Pages : 348 pages
Book Rating : 4.08/5 ( download)

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Download or read book Asymptotic Theory of Separated Flows written by Vladimir V. Sychev and published by Cambridge University Press. This book was released on 1998-08-28 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary-layer separation from a rigid body surface is one of the fundamental problems of classical and modern fluid dynamics. The major successes achieved since the late 1960s in the development of the theory of separated flows at high Reynolds numbers are in many ways associated with the use of asymptotic methods. The most fruitful of these has proved to be the method of matched asymptotic expansions, which has been widely used in mechanics and mathematical physics. There have been many papers devoted to different problems in the asymptotic theory of separated flows and we can confidently speak of the appearance of a very productive direction in the development of theoretical hydrodynamics. This book will present this theory in a systematic account. The book will serve as a useful introduction to the theory, and will draw attention to the possibilities that application of the asymptotic approach provides.

Author : Dimo Uzunov
Publisher : BoD – Books on Demand
ISBN 13 : 953513261X
Total Pages : 202 pages
Book Rating : 4.15/5 ( download)

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Download or read book Recent Studies inPerturbation Theory written by Dimo Uzunov and published by BoD – Books on Demand. This book was released on 2017-06-14 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains seven chapters written by noted experts and young researchers who present their recent studies of both pure mathematical problems of perturbation theories and application of perturbation methods to the study of the important topic in physics, for example, renormalization group theory and applications to basic models in theoretical physics (Y. Takashi), the quantum gravity and its detection and measurement (F. Bulnes), atom-photon interactions (E. G. Thrapsaniotis), treatment of spectra and radiation characteristics by relativistic perturbation theory (A. V. Glushkov et al), and Green's function theory and some applications (Jing Huang). The pure mathematical issues are related to the problem of generalization of the boundary layer function method for bisingularly perturbed differential equations (K. Alymkulov and D. A. Torsunov) and to the development of new homotopy asymptotic methods and some of their applications (Baojian Hong).

Author : Claus Weiland
Publisher : Springer Nature
ISBN 13 : 303042930X
Total Pages : 199 pages
Book Rating : 4.00/5 ( download)

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Download or read book Mechanics of Flow Similarities written by Claus Weiland and published by Springer Nature. This book was released on 2020-06-29 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mechanics of similarity encompasses the analysis of dimensions, performed by various procedures, the gasdynamic similarity and the model technology. The analysis of dimensions delivers the dimensionless numbers by which specific physical challenges can be described with a reduced number of variables. Thereby the assessment of physical problems is facilitated. For fluid dynamics and all sorts of heat transfer the discipline of the mechanics of similarity was so important in the past, that the historical background is highlighted of all the persons who have contributed to the development of this discipline. The goal of the classical gasdynamic similarity was to find rules, which enables the aerodynamic engineer to perform transformations from existing flow fields to others, which meet geometrical and other specific flow field parameters. Most of these rules and findings do no longer play a role today, because a lot of potent experimental and theoretical/numerical methods are now available. This problem is addressed in the book. A recent investigation regarding the longitudinal aerodynamics of space vehicles has revealed, that there exist other astonishing similarities for hypersonic and supersonic flight Mach numbers. It seems, that obviously most of the longitudinal aerodynamics is independent from the geometrical configurations of the space vehicle considered, if a simple transformation is applied. A section of this book is devoted to these new findings.

Author : Martin Oberlack
Publisher : Springer Science & Business Media
ISBN 13 : 3642289681
Total Pages : 299 pages
Book Rating : 4.82/5 ( download)

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Download or read book Progress in Turbulence and Wind Energy IV written by Martin Oberlack and published by Springer Science & Business Media. This book was released on 2012-04-24 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fourth issue on "progress in turbulence" is based on the fourth ITI conference (ITI interdisciplinary turbulence initiative), which took place in Bertinoro, North Italy. Leading researchers from the engineering and physical sciences presented latest results in turbulence research. Basic as well as applied research is driven by the rather notorious difficult and essentially unsolved problem of turbulence. In this collection of contributions clear progress can be seen in different aspects, ranging from new quality of numerical simulations to new concepts of experimental investigations and new theoretical developments. The importance of turbulence is shown for a wide range of applications including: combustion, energy, flow control, urban flows, are few examples found in this volume. A motivation was to bring fundamentals of turbulence in connection with renewable energy. This lead us to add a special topic relevant to the impact of turbulence on the wind energy conversion. The structure of the present book is as such that contributions have been bundled according to covering topics i.e. I Basic Turbulence Aspects, II Particle Laden Flows, III Modeling and Simulations, IV, Experimental Methods, V Special Flows, VI Atmospheric Boundary Layer, VII Boundary Layer, VIII Wind Energy and IX Convection. This book is dedicated to the memory of Prof. Tim Nickels. Shortly after giving an invited lecture at the 4th ITI conference, the turbulence community lost a world-class scientist, a friend and devoted family man.

Author : Hermann Schlichting (Deceased)
Publisher : Springer
ISBN 13 : 366252919X
Total Pages : 805 pages
Book Rating : 4.95/5 ( download)

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Download or read book Boundary-Layer Theory written by Hermann Schlichting (Deceased) and published by Springer. This book was released on 2016-10-04 with total page 805 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of the near-legendary textbook by Schlichting and revised by Gersten presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with particular emphasis on the flow past bodies (e.g. aircraft aerodynamics). The new edition features an updated reference list and over 100 additional changes throughout the book, reflecting the latest advances on the subject.

Author : Jiri Neustupa
Publisher : Birkhäuser
ISBN 13 : 3034882432
Total Pages : 271 pages
Book Rating : 4.39/5 ( download)

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Download or read book Mathematical Fluid Mechanics written by Jiri Neustupa and published by Birkhäuser. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modeling and numerical simulation in fluid mechanics are topics of great importance both in theory and technical applications. The present book attempts to describe the current status in various areas of research. The 10 chapters, mostly survey articles, are written by internationally renowned specialists and offer a range of approaches to and views of the essential questions and problems. In particular, the theories of incompressible and compressible Navier-Stokes equations are considered, as well as stability theory and numerical methods in fluid mechanics. Although the book is primarily written for researchers in the field, it will also serve as a valuable source of information to graduate students.

Author : Sergey Shklyaev
Publisher : Springer
ISBN 13 : 1493975900
Total Pages : 456 pages
Book Rating : 4.07/5 ( download)

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Download or read book Longwave Instabilities and Patterns in Fluids written by Sergey Shklyaev and published by Springer. This book was released on 2017-12-08 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes the main advances in the field of nonlinear evolution and pattern formation caused by longwave instabilities in fluids. It will allow readers to master the multiscale asymptotic methods and become familiar with applications of these methods in a variety of physical problems. Longwave instabilities are inherent to a variety of systems in fluid dynamics, geophysics, electrodynamics, biophysics, and many others. The techniques of the derivation of longwave amplitude equations, as well as the analysis of numerous nonlinear equations, are discussed throughout. This book will be of value to researchers and graduate students in applied mathematics, physics, and engineering, in particular within the fields of fluid mechanics, heat and mass transfer theory, and nonlinear dynamics.

Author : Anatoliĭ Ivanovich Ruban
Publisher : Oxford University Press, USA
ISBN 13 : 0199681740
Total Pages : 331 pages
Book Rating : 4.47/5 ( download)

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Download or read book Fluid Dynamics: Asymptotic problems of fluid dynamics written by Anatoliĭ Ivanovich Ruban and published by Oxford University Press, USA. This book was released on 2015 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this second volume the reader is introduced to asymptotic methods. These are now an inherent part of applied mathematics, and are used in different branches of physics, but it was fluid dynamics where asymptotic techniques we first introduced.