Ordered And Turbulent Patterns In Taylor Couette Flow
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Ordered and Turbulent Patterns in Taylor-Couette Flow by C. David Andereck,F. Hayot Pdf
Seldom does a physical system, particularly one as apparently simple as the flow of a Newtonian fluid between concentric rotating cylinders, retain the interest of scientists, applied mathematicians and engineers for very long. Yet, as this volume goes to press it has been nearly 70 years since G. I. Taylor's outstanding experimental and theoretical study of the linear stability of this flow was published, and a century since the first experiments were performed on rotating cylinder viscometers. Since then, the study of this system has progressed enormously, but new features of the flow patterns are still being uncovered. Interesting variations on the basic system abound. Connections with open flows are being made. More complex fluids are used in some experiments. The vigor of the research going on in this particular example of nonequilibrium systems was very apparent at the NATO Advanced Research Workshop on "Ordered and Turbulent Patterns in Taylor Couette Flow," held in Columbus, Ohio, USA May 22-24, 1991. A primary goal of this ARW was to bring together those interested in pattern formation in the classic Taylor Couette problem with those looking at variations on the basic system and with those interested in related systems, in order to better define the interesting areas for the future, the open questions, and the features common (and not common) to closed and open systems. This volume contains many of the contributions presented during the workshop.
Ordered and Turbulent Patterns in Taylor-Couette Flow by C. David Andereck,F. Hayot Pdf
Seldom does a physical system, particularly one as apparently simple as the flow of a Newtonian fluid between concentric rotating cylinders, retain the interest of scientists, applied mathematicians and engineers for very long. Yet, as this volume goes to press it has been nearly 70 years since G. I. Taylor's outstanding experimental and theoretical study of the linear stability of this flow was published, and a century since the first experiments were performed on rotating cylinder viscometers. Since then, the study of this system has progressed enormously, but new features of the flow patterns are still being uncovered. Interesting variations on the basic system abound. Connections with open flows are being made. More complex fluids are used in some experiments. The vigor of the research going on in this particular example of nonequilibrium systems was very apparent at the NATO Advanced Research Workshop on "Ordered and Turbulent Patterns in Taylor Couette Flow," held in Columbus, Ohio, USA May 22-24, 1991. A primary goal of this ARW was to bring together those interested in pattern formation in the classic Taylor Couette problem with those looking at variations on the basic system and with those interested in related systems, in order to better define the interesting areas for the future, the open questions, and the features common (and not common) to closed and open systems. This volume contains many of the contributions presented during the workshop.
The Couette-Taylor Problem by Pascal Chossat,Gerard Iooss Pdf
1. 1 A paradigm About one hundred years ago, Maurice Couette, a French physicist, de signed an apparatus consisting of two coaxial cylinders, the space between the cylinders being filled with a viscous fluid and the outer cylinder being rotated at angular velocity O2. The purpose of this experiment was, follow ing an idea of the Austrian physicist Max Margules, to deduce the viscosity of the fluid from measurements of the torque exerted by the fluid on the inner cylinder (the fluid is assumed to adhere to the walls of the cylinders). At least when O is not too large, the fluid flow is nearly laminar and 2 the method of Couette is valuable because the torque is then proportional to 110 , where II is the kinematic viscosity of the fluid. If, however, O is 2 2 increased to a very large value, the flow becomes eventually turbulent. A few years later, Arnulph Mallock designed a similar apparatus but allowed the inner cylinder to rotate with angular velocity 01, while O2 = o. The surprise was that the laminar flow, now known as the Couette flow, was not observable when 0 exceeded a certain "low" critical value Ole, even 1 though, as we shall see in Chapter II, it is a solution of the model equations for any values of 0 and O .
Hydrodynamic Instability and Transition to Turbulence by Akiva M. Yaglom Pdf
This book is a complete revision of the part of Monin & Yaglom's famous two-volume work "Statistical Fluid Mechanics: Mechanics of Turbulence" that deals with the theory of laminar-flow instability and transition to turbulence. It includes the considerable advances in the subject that have been made in the last 15 years or so. It is intended as a textbook for advanced graduate courses and as a reference for research students and professional research workers. The first two Chapters are an introduction to the mathematics, and the experimental results, for the instability of laminar (or inviscid) flows to infinitesimal (in practice "small") disturbances. The third Chapter develops this linear theory in more detail and describes its application to particular problems. Chapters 4 and 5 deal with instability to finite-amplitude disturbances: much of the material has previously been available only in research papers.
Advances in Computation, Modeling and Control of Transitional and Turbulent Flows by Tapan K Sengupta,Sanjiva K Lele,Katepalli R Sreenivasan,Peter A Davidson Pdf
' The role of high performance computing in current research on transitional and turbulent flows is undoubtedly very important. This review volume provides a good platform for leading experts and researchers in various fields of fluid mechanics dealing with transitional and turbulent flows to synergistically exchange ideas and present the state of the art in the fields. Contributed by eminent researchers, the book chapters feature keynote lectures, panel discussions and the best invited contributed papers. Contents:Keynote Speakers:Large-Eddy Simulation of the Navier-Stokes Equations: Deconvolution, Particle Methods, and Super-Resolution (A Leonard)Convective Transport in the Sun (S M Hanasoge, L Gizon, K R Sreenivasan)Rapidly-Rotating Turbulence and its Role in Planetary Dynamos (P A Davidson)Low-Order Models for Control of Fluids: Balanced Models and the Koopman Operator(C W Rowley)Contributed Papers:Different Routes of Transition by Spatio-Temporal Wave-Front (S Bhaumik, T K Sengupta, V Mudkavi)Bypass Transitional Flow Past an Aerofoil With and Without Surface Roughness Elements (Y G Bhumkar, T W H Sheu, T K Sengupta)Global Stability and Transition to Intermittent Chaos in the Cubical Lid-Driven Cavity Flow Problem (J-Ch Loiseau, J-Ch Robinet, E Leriche)Spatio-Temporal Wave Front — Essential Element of Flow Transition for Low Amplitude Excitations (A Mulloth, P Suchandra, T K Sengupta)Simulations Using Transition Models within the Framework of RANS (Y C Manu, A Rajesh, M B Subrahmanya, D S Kulkarni, B N Rajan)DNS of Incompressible Square Duct Flow and Its Receptivity to Free Stream Turbulence (P M Bagade, N Sawant, M Sriramkrishnan, T K Sengupta)Evolution of RANS Modelling of High Speed Mixing Layers using LES (A S Iyer, N K S Rajan, D Chakraborthy)Numerical Investigation of Centrifugal Instability Around a Circular Cylinder Rotated Impulsively (A M Prabhu, R K Shukla, J H Arakeri)Direct Numerical Simulations of Riblets in a Fully-Developed Turbulent Channel Flow: Effects of Geometry (J H Ng, R K Jaiman, T T Lim)Computational Studies on Flow Separation Controls at Relatively Low Reynolds Number Regime (K Fujii)Frequency Dependent Capacitance SDBD Plasma Model for Flow Control (P M Bagade, T K Sengupta, S Sengupta, H D Vo)Effects of Uniform Blowing or Suction on the Amplitude Modulation in Spatially Developing Turbulent Boundary Layers (Y Kametani, R Örlü, P Schlatter, K Fukagata)Turbulent Drag Reduction in Channel Flow Using Weak-Pressure Forcing (B A Khan, M F Baig)Drifting of Internal Gravity Wave in a Non-Boussinesq Stably Stratified Turbulent Channel Flow (S M Yahya, S Sanghi, S F Anwer)Numerical Study of Sink Flow Turbulent Boundary Layers (S S Patwardhan, O N Ramesh)Coherent Structure in Oil Body Embedded in Compound Vortex (T O Chaplina, Yu D Chashechkin)Quantitative Characterization of Single Orifice Hydraulic Flat Spray Nozzle (D M Sharma, W T Lai)Shell Model for Buoyancy-Driven Turbulent Flows (A Kumar, M K Verma)Numerical Simulations in Low–Prandtl Number Convection (J D Scheel, J Schumacher)Effect of Buoyancy on Turbulent Mixed Convection Flow Through Vertical and Horizontal Channels (N Satish, K Venkatasubbaiah, R Harish)Computation of Boundary Layer Flow over Porous Laminated Flat Plate (K A Nair, A Sameen, S A Lal)Boundary Condition Development for an Adverse Pressure Gradient Turbulent Boundary Layer at the Verge of Separation (V Kitsios, C Atkinson, J A Sillero, G Borrell, A G Gungor, J Jiménez, J Soria)Some Interesting Features of Flow Past Slotted Circular Cylinder at Re = 3500 (G K Suryanarayana, V Y Mudkavi, R Kurade, K M Naveen)A High-Resolution Compressible DNS Study of Flow Past a Low-Pressure Gas Turbine Blade (R Ranjan, S M Deshpande, R Narasimha)Numerical Simulation of Impulsive Supersonic Flow from an Open End of a Shock Tube: A Comparative Study (T Murugan, S De, V Thiagarajan)Green''s Function Analysis of Pressure-Strain Correlations in a Supersonic Pipe, Nozzle and Diffuser (S Ghosh, R Friedrich)The Structure of Turbulence in Poiseuille and Couette Flow at Computationally High Reynolds Number (S Pirozzoli, M Bernardini, P Orlandi)A New Reynolds Stress Damping Function for Hybrid RANS/LES with an Evolved Functional Form (J Weatheritt, R D Sandberg)Direct Numerical and Large Eddy Simulations of Helicity-Induced Stably Stratified Turbulent Flows (A Rahimi, A J Chandy)Comparison of RANS and DNS for Transitional Flow Over WTEA-TE1 Airfoil (P M Bagade, É Laurendeau, A Bhole, N Sharma, T K Sengupta)Extracting Coherent Structures to Explore the Minimum Jet Noise (Z Fu, A Agarwal, A V G Cavalieri, P Jordan)Synchronized Large-Eddy Simulations for Sound Generation Analysis (S Unnikrishnan, D V Gaitonde)DNS of a Turbulent Jet Issuing from an Acoustically Lined Pipe (R D Sandberg, B J Tester)Decomposition of Radiating and Non-Radiating Linear Fluctuating Components in Compressible Flows (P Stegeman, A Ooi, J Soria)Toward Control of Compressible Shear Flows: Investigation of Possible Flow Mechanisms (G Kumar, R Bertsch, V Venugopal, S S Girimaji)Damping Numerical Oscillations in Hybrid Solvers through Detection of Gibbs Phenomenon (V K Chakravarthy, D Chakraborty)Forward and Inverse 3D Fourier Transforms of a DNS Wavepacket Evolving in a Blasius Boundary Layer (K-L Kang, K S Yeo)Reduced Order Modeling by POD of Supercritical Flow Past Circular Cylinder (M K Parvathi, S Ijlal, G Pallavi, T K Sengupta)Proper Orthogonal Decomposition vs. Fourier Analysis for Extraction of Large-Scale Structures of Thermal Convection (S Paul, M K Verma)Energy Spectrum and Flux of Buoyancy-Driven Turbulence (M K Verma, A Kumar, A G Chatterjee)DNS of a Buoyant Turbulent Cloud under Rapid Rotation (A Ranjan, P A Davidson)Numerical Simulation of Shock-Bubble Interaction using High Order Upwind Schemes (A Kundu, S De)Rayleigh-Taylor Instability of a Miscible Fluid at the Interface: Direct Numerical Simulation (A Bhole, S Sengupta, A Sengupta, K S Shruti, N Sharma)A High Resolution Differential Filter for Large Eddy Simulation on Unstructured Grids for High-Order Methods (M Najafiyazdi, S Nadarajah, L Mongeau)A Critical Assessment of Simulations for Transitional and Turbulent Flows (T K Sengupta)Panel Discussion Readership: Researchers, professionals, academics, graduate and senior undergraduates in aerospace engineering, mechanical engineering, engineering mechanics, geophysics and fluid mechanics. Keywords:HPC;Transition;Turbulence;Flow Control;Turbulence Modelling'
This book presents the new discovery of the origin of turbulence from Navier–Stokes equations. The fully developed turbulence is found to be composed of singularities of flow field. The mechanisms of flow stability and turbulent transition are described using the energy gradient theory, which states all the flow instability and breakdown resulted from the gradient of the total mechanical energy normal to the flow direction. This approach is universal for flow instability in Newtonian flow and non-Newtonian flow. The theory has been used to solve several problems, such as plane and pipe Poiseuille flows, plane Couette flow, Taylor–Couette flow, flows in straight coaxial annulus, flows in curved pipes and ducts, thermal convection flow, viscoelastic flow, and magnet fluid flow, etc. The theory is in agreement with results from numerical simulations and experiments. The analytical method used in this book is novel and is different from the traditional approaches. This book includes the fundamental basics of flow stability and turbulent transition, the essentials of the energy gradient theory, and the applications of the theory to several practical problems. This book is suitable for researchers and graduate students.
Pattern Formation in Viscous Flows by Rita Meyer-Spasche Pdf
The Taylor-Couette system is one of the most studied examples of fluid flow exhibiting the spontaneous formation of dynamical structures. In this book, the variety of time independent solutions with periodic spatial structure is numerically investigated by solution of the Navier-Stokes equations.
Spatio-Temporal Pattern Formation by Daniel Walgraef Pdf
Spatio-temporal patterns appear almost everywhere in nature, and their description and understanding still raise important and basic questions. However, if one looks back 20 or 30 years, definite progress has been made in the modeling of insta bilities, analysis of the dynamics in their vicinity, pattern formation and stability, quantitative experimental and numerical analysis of patterns, and so on. Universal behaviors of complex systems close to instabilities have been determined, leading to the wide interdisciplinarity of a field that is now referred to as nonlinear science or science of complexity, and in which initial concepts of dissipative structures or synergetics are deeply rooted. In pioneering domains related to hydrodynamics or chemical instabilities, the interactions between experimentalists and theoreticians, sometimes on a daily basis, have been a key to progress. Everyone in the field praises the role played by the interactions and permanent feedbacks between ex perimental, numerical, and analytical studies in the achievements obtained during these years. Many aspects of convective patterns in normal fluids, binary mixtures or liquid crystals are now understood and described in this framework. The generic pres ence of defects in extended systems is now well established and has induced new developments in the physics of laser with large Fresnel numbers. Last but not least, almost 40 years after his celebrated paper, Turing structures have finally been ob tained in real-life chemical reactors, triggering anew intense activity in the field of reaction-diffusion systems.
IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions by Tom Mullin,R. R. Kerswell Pdf
An exciting new direction in hydrodynamic stability theory and the transition to turbulence is concerned with the role of disconnected states or finite amplitude solutions in the evolution of disorder in fluid flows. This volume contains refereed papers presented at the IUTAM/LMS sponsored symposium on "Non-Uniqueness of Solutions to the Navier-Stokes equations and their Connection with Laminar-Turbulent Transition" held in Bristol 2004. Theoreticians and experimentalists gathered to discuss developments in understanding both the onset and collapse of disordered motion in shear flows such as those found in pipes and channels. The central objective of the symposium was to discuss the increasing amount of experimental and numerical evidence for finite amplitude solutions to the Navier-Stokes equations and to set the work into a modern theoretical context. The participants included many of the leading authorities in the subject and this volume captures much of the flavour of the resulting stimulating and lively discussions.
Pattern Formation in Continuous and Coupled Systems by Martin Golubitsky,Dan Luss,Steven H. Strogatz Pdf
This IMA Volume in Mathematics and its Applications PATTERN FORMATION IN CONTINUOUS AND COUPLED SYSTEMS is based on the proceedings of a workshop with the same title, but goes be yond the proceedings by presenting a series of mini-review articles that sur vey, and provide an introduction to, interesting problems in the field. The workshop was an integral part of the 1997-98 IMA program on "EMERG ING APPLICATIONS OF DYNAMICAL SYSTEMS." I would like to thank Martin Golubitsky, University of Houston (Math ematics) Dan Luss, University of Houston (Chemical Engineering), and Steven H. Strogatz, Cornell University (Theoretical and Applied Mechan ics) for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Foundation (NSF), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE Pattern formation has been studied intensively for most of this cen tury by both experimentalists and theoreticians, and there have been many workshops and conferences devoted to the subject. In the IMA workshop on Pattern Formation in Continuous and Coupled Systems held May 11-15, 1998 we attempted to focus on new directions in the patterns literature.
The Physics of Structure Formation by Werner Güttinger,Gerhard Dangelmayr Pdf
The formation and evolution of complex dynamical structures is one of the most exciting areas of nonlinear physics. Such pattern formation problems are common in practically all systems involving a large number of interacting components. Here, the basic problem is to understand how competing physical forces can shape stable geometries and to explain why nature prefers just these. Motivation for the intensive study of pattern formation phenomena during the past few years derives from an increasing appreciation of the remarkable diversity of behaviour encountered in nonlinear systems and of universal features shared by entire classes of nonlinear processes. As physics copes with ever more ambi tious problems in pattern formation, summarizing our present state of knowledge becomes a pressing issue. This volume presents an overview of selected topics in this field of current interest. It deals with theoretical models of pattern formation and with simulations that bridge the gap between theory and experiment. The book is a product of the International Symposium on the Physics of Structure Formation, held from October 27 through November 2, 1986, at the Institute for Information Sciences of the University of Tiibingen. The symposium brought together a group of distinguished scientists from various disciplines to exchange ideas about recent advances in pattern formation in the physical sciences, and also to introduce young scientists to the fi
Evolution of Spontaneous Structures in Dissipative Continuous Systems by Friedrich H. Busse,Stefan C. Müller Pdf
In the decades the of the formation of structures past subject spontaneous in far from has into a branch of - systems equilibrium major physics grown search with ties to It has become evident that strong neighboring disciplines. a diverse of can be understood within a common mat- phenomena range matical framework which has been called nonlinear of continuous dynamics This name the close to the field of nonlinear systems. emphasizes relationship of with few of freedom which has evolved into a dynamics systems degrees mature in the recent features mathematically subject past. Many dynamical of continuous be described reduction few can a to a systems actually through of freedom and of the latter of continue to degrees properties type systems of continuous the inspire study systems. The of this book is to demonstrate the numerous goal through examples that exist for the of nonlinear the opportunities study phenomena through tools of mathematical and use of common analyses dynamical interpretations. Instead of overview of the a providing comprehensive rapidly evolving field, the contributors to this book are to communicate to a wide scientific trying audience the of what have learnt about the formation of essence they spon- neous structures in continuous and about the dissipative systems competition between order and chaos that characterizes these It is that systems. hoped the book will be even to those scientists whose not helpful are disciplines the authors.
Nonlinear Instability of Nonparallel Flows by S.P. Lin,W.R.C. Phillips,D.T. Valentine Pdf
The IUTAM Symposium on Nonlinear Instability of Nonparallel Flows was held at Clarkson University, Potsdam, NY 13699-5725, USA from 26 to 31 July 1993. It consisted of 9 general speeches, 35 lectures and 15 poster-seminar presentations. The papers were grouped in fairly focused sessions on boundary layers, shear flows, vortices, wakes, nonlinear waves and jets. The symposium was fol lowed by a workshop in which the subject matter discussed was sum marized and some further work for future investigation was recom mended. The highlights of the workshop will be reported elsewhere. In this book many of the papers that describe the ideas presented at the symposium are collected to provide a reference for researchers in charting the future course of their studies in the area of nonlinear instability of nonparallel flows. The papers in this book are grouped under the following headings: • Boundary layers and shear flows • Compressibility and thermal effects • Vortices and wakes • Nonlinear waves and jets In the lead paper ofthis book M. E. Goldstein describes an asymp totic theory of nonlinear interaction between two spatially growing oblique waves on nonparallel boundary and free-shear layers. The wave interaction originates from the nonlinear critical layer and is responsive to weakly nonparallel effects. The theory results in a sys tem of integral differential equations which appear to be relevant near the upper branch of the neutral curve.