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Author : Francis John Edward Reid
Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.:/5 (768 download)
Download or read book The Weakly Nonlinear Stability of an Oscillatory Fluid Flow written by Francis John Edward Reid and published by . This book was released on 2006 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ferruccio Colombini
Publisher : Springer
ISBN 13 : 3319520423
Total Pages : 313 pages
Book Rating : 4.3/5 (195 download)
Download or read book Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics written by Ferruccio Colombini and published by Springer. This book was released on 2017-04-25 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, September 14-18, 2015. The contributions discuss recent major advances in the study of nonlinear hyperbolic systems, addressing general theoretical issues such as symmetrizability, singularities, low regularity or dispersive perturbations. It also investigates several physical phenomena where such systems are relevant, such as nonlinear optics, shock theory (stability, relaxation) and fluid mechanics (boundary layers, water waves, Euler equations, geophysical flows, etc.). It is a valuable resource for researchers in these fields.
Author : Adrian V. Coward
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (317 download)
Download or read book Nonlinear Stability of Oscillatory Core-annular Flow: A Generalized Kuramoto-Sivashinsky Equation with Time Periodic Coefficients written by Adrian V. Coward and published by . This book was released on 1994 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. G. Drazin
Publisher : Cambridge University Press
ISBN 13 : 9780521525411
Total Pages : 630 pages
Book Rating : 4.5/5 (254 download)
Download or read book Hydrodynamic Stability written by P. G. Drazin and published by Cambridge University Press. This book was released on 2004-08-05 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hydrodynamic stability is of fundamental importance in fluid mechanics and is concerned with the problem of transition from laminar to turbulent flow. Drazin and Reid emphasise throughout the ideas involved, the physical mechanisms, the methods used, and the results obtained, and, wherever possible, relate the theory to both experimental and numerical results. A distinctive feature of the book is the large number of problems it contains. These problems not only provide exercises for students but also provide many additional results in a concise form. This new edition of this celebrated introduction differs principally by the inclusion of detailed solutions for those exercises, and by the addition of a Foreword by Professor J. W. Miles.
Author : Trudi A. Shortis
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (317 download)
Download or read book On the Nonlinear Stability of the Unsteady, Viscous Flow of an Incompressible Fluid in a Curved Pipe written by Trudi A. Shortis and published by . This book was released on 1995 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. Colinet (Pierre.)
Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.3/5 (91 download)
Download or read book Nonlinear Dynamics of Surface-Tension-Driven Instabilities written by P. Colinet (Pierre.) and published by Wiley-VCH. This book was released on 2001-08-15 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with a progressive and complete insight into a vast field of nonlinear phyiscs. While the introductory first chapter describes nonlinear dissipative structures at a general level in fluid mechanics as well as in other fields, the second chapter contains a summary of the derivation of basic equations, with emphasis on boundary conditions prevailing at interfaces. Chapter 3 is devoted to linear stability analyses and identification of basic instability modes. The weakly nonlinear theories are presented in Chapter 4 (monotonic instabilities), Chapter 5 (oscillatory instabilities) and Chapter 6 (multiple bifurcations). Finally, results on strongly nonlinear surface-tension-driven convection and transitions to interfacial turbulence are contained in Chapter 7.
Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722455811
Total Pages : 26 pages
Book Rating : 4.4/5 (558 download)
Download or read book On the Nonlinear Stability of the Unsteady, Viscous Flow of an Incompressible Fluid in a Curved Pipe written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-09 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stability of the flow of an incompressible, viscous fluid through a pipe of circular cross-section curved about a central axis is investigated in a weakly nonlinear regime. A sinusoidal pressure gradient with zero mean is imposed, acting along the pipe. A WKBJ perturbation solution is constructed, taking into account the need for an inner solution in the vicinity of the outer bend, which is obtained by identifying the saddle point of the Taylor number in the complex plane of the cross-sectional angle co-ordinate. The equation governing the nonlinear evolution of the leading order vortex amplitude is thus determined. The stability analysis of this flow to periodic disturbances leads to a partial differential system dependent on three variables, and since the differential operators in this system are periodic in time, Floquet theory may be applied to reduce this system to a coupled infinite system of ordinary differential equations, together with homogeneous uncoupled boundary conditions. The eigenvalues of this system are calculated numerically to predict a critical Taylor number consistent with the analysis of Papageorgiou. A discussion of how nonlinear effects alter the linear stability analysis is also given, and the nature of the instability determined. Shortis, Trudi A. and Hall, Philip Unspecified Center NAS1-19480; RTOP 505-90-52-01...
Author :
Publisher :
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.:/5 (26 download)
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1972 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Günter Brenn
Publisher : Springer
ISBN 13 : 3662514230
Total Pages : 306 pages
Book Rating : 4.6/5 (625 download)
Download or read book Analytical Solutions for Transport Processes written by Günter Brenn and published by Springer. This book was released on 2016-07-26 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides analytical solutions to a number of classical problems in transport processes, i.e. in fluid mechanics, heat and mass transfer. Expanding computing power and more efficient numerical methods have increased the importance of computational tools. However, the interpretation of these results is often difficult and the computational results need to be tested against the analytical results, making analytical solutions a valuable commodity. Furthermore, analytical solutions for transport processes provide a much deeper understanding of the physical phenomena involved in a given process than do corresponding numerical solutions. Though this book primarily addresses the needs of researchers and practitioners, it may also be beneficial for graduate students just entering the field.
Author : S. Friedlander
Publisher : Gulf Professional Publishing
ISBN 13 : 008053354X
Total Pages : 627 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Mathematical Fluid Dynamics written by S. Friedlander and published by Gulf Professional Publishing. This book was released on 2003-03-27 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
Author : Ivan Kazachkov
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1036410471
Total Pages : 327 pages
Book Rating : 4.0/5 (364 download)
Download or read book Boundary Parametric Control of Oscillations in Heat and Fluid Flows written by Ivan Kazachkov and published by Cambridge Scholars Publishing. This book was released on 2024-09-11 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on modeling and control of fluid movement and heat transfer in relation to the development and implementation of new highly effective technologies. It develops a new theory of parametric control of film flows and the production of amorphous granules for the creation of new unique materials. The book also explores the new challenges introduced by the influence of vibrations and electromagnetic fields on the flow of various liquids, including metals. The book details the discovery of three new hydrodynamic phenomena, and demonstrates their importance for the creation of unique devices and technologies. It also covers thermohydraulic processes in granular layers, and anomalous heat transfer in complex environments. This book will be of interest to mechanical engineers, electromagnetic experts, metallurgists, material scientists and all science lovers.
Author : B. Mahanthesh
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110696126
Total Pages : 290 pages
Book Rating : 4.1/5 (16 download)
Download or read book Mathematical Fluid Mechanics written by B. Mahanthesh and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-06-08 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Without mathematics no science would survive. This especially applies to the engineering sciences which highly depend on the applications of mathematics and mathematical tools such as optimization techniques, finite element methods, differential equations, fluid dynamics, mathematical modelling, and simulation. Neither optimization in engineering, nor the performance of safety-critical system and system security; nor high assurance software architecture and design would be possible without the development of mathematical applications. De Gruyter Series on the Applications of Mathematics in Engineering and Information Sciences (AMEIS) focusses on the latest applications of engineering and information technology that are possible only with the use of mathematical methods. By identifying the gaps in knowledge of engineering applications the AMEIS series fosters the international interchange between the sciences and keeps the reader informed about the latest developments.
Author : Artur J. Jaworski
Publisher : MDPI
ISBN 13 : 3038427101
Total Pages : 179 pages
Book Rating : 4.0/5 (384 download)
Download or read book Heat Transfer Processes in Oscillatory Flow Conditions written by Artur J. Jaworski and published by MDPI. This book was released on 2018-04-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Heat Transfer Processes in Oscillatory Flow Conditions" that was published in Applied Sciences
Author : Anatoly Ruban
Publisher : Oxford University Press
ISBN 13 : 0198885822
Total Pages : 369 pages
Book Rating : 4.1/5 (988 download)
Download or read book Fluid Dynamics written by Anatoly Ruban and published by Oxford University Press. This book was released on 2023-07-03 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth volume in a four-part series on fluid dynamics: Part 1. Classical Fluid Dynamics Part 2. Asymptotic Problems of Fluid Dynamics Part 3. Boundary Layers Part 4. Hydrodynamic Stability Theory The series is 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. Part 4 is devoted to hydrodynamic stability theory which aims at predicting the conditions under which the laminar state of a flow turns into a turbulent state. The phenomenon of laminar-turbulent transition remains one of the main challenges of modern physics. The resolution of this problem is important not only from a theoretical viewpoint but also for practical applications. For instance, in the flow past a passenger aircraft wing, the laminar-turbulent transition causes a fivefold increase in the viscous drag. The book starts with the classical results of the theory which include the global stability analysis followed by the derivation of the Orr-Sommerfeld equation. The properties of this equation are discussed using, as examples, plane Poiseuille flow and the Blasius boundary layer. In addition, we discuss 'inviscid flow' instability governed by the Rayleigh equation, Kelvin-Helmholtz instability, crossflow instability, and centrifugal instability, taking the form of Taylor-Görtler vortices. However, in this presentation our main attention regards recent developments in the theory. These include linear and nonlinear critical layer theory, the theory of receptivity of the boundary layer to external perturbations, weakly nonlinear stability theory of Landau and Stuart, and vortex-wave interaction theory. The latter allows us to describe self-sustaining nonlinear perturbations within a viscous fluid.
Author : Stephen H. Davis
Publisher : Cambridge University Press
ISBN 13 : 9781139429634
Total Pages : 406 pages
Book Rating : 4.4/5 (296 download)
Download or read book Theory of Solidification written by Stephen H. Davis and published by Cambridge University Press. This book was released on 2001-10-08 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: The processes of freezing and melting were present at the beginnings of the Earth and continue to dominate the natural and industrial worlds. The solidification of a liquid or the melting of a solid involves a complex interplay of many physical effects. This 2001 book presents in a systematic way the field of continuum solidification theory based on instability phenomena. An understanding of the physics is developed by using examples of increasing complexity with the object of creating a deep physical insight applicable to more complex problems. Applied mathematicians, engineers, physicists, and materials scientists will all find this volume of interest.
Author :
Publisher : UM Libraries
ISBN 13 :
Total Pages : 1400 pages
Book Rating : 4.3/5 (91 download)
Download or read book University of Michigan Official Publication written by and published by UM Libraries. This book was released on 1965 with total page 1400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. Lakshmikantham
Publisher : Walter de Gruyter
ISBN 13 : 3110883236
Total Pages : 4040 pages
Book Rating : 4.1/5 (18 download)
Download or read book World Congress of Nonlinear Analysts '92 written by V. Lakshmikantham and published by Walter de Gruyter. This book was released on 2011-11-14 with total page 4040 pages. Available in PDF, EPUB and Kindle. Book excerpt:
