The Couette-Taylor problem by Pascal Chossat

Cover of: The Couette-Taylor problem | Pascal Chossat

Published by Springer-Verlag in New York .

Written in English

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  • Vortex-motion,
  • Fluid dynamics

Edition Notes

Includes bibliographical references (p. [221]-230) and index.

Book details

StatementPascal Chossat, Gérard Iooss.
SeriesApplied mathematical sciences ;, v. 102, Applied mathematical sciences (Springer-Verlag New York Inc.) ;, v. 102.
ContributionsIooss, Gérard.
LC ClassificationsQA1 .A647 vol. 102, QA925 .A647 vol. 102
The Physical Object
Paginationix, 233 p. :
Number of Pages233
ID Numbers
Open LibraryOL1412147M
ISBN 100387941541, 3540941541
LC Control Number93021048

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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. Buy The Couette-Taylor Problem (Applied Mathematical Sciences) on FREE SHIPPING on qualified ordersCited by: *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

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Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied. COVID Resources.

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The Couette-Taylor Problem by Pascal Chossat, Gerard Iooss starting at $ The Couette-Taylor Problem has 3 available editions to buy at Half Price Books Marketplace. from book Physics of Rotating Fluids: Selected Topics of the 11th International Couette-Taylor Workshop Held at Bremen, Germany, 20–23 July (pp).

This work is devoted to the study of transient growth of perturbations in the Taylor–Couette problem due to linear nonnormal mechanisms. The study is. Taylor vortices (also named after Sir Geoffrey Ingram Taylor) are vortices formed in rotating Taylor–Couette flow when the Taylor number of the flow exceeds a critical value.

For flow in which. Appearance of Taylor Vortices in Taylor Couette Flow. Taylor-Couette Flow (Ultra Laminar Flow) - Smarter The Couette-Taylor problem book Day Behind the Scenes - Duration: Smarter Every Day 2 Recommended for you.

Cite this chapter as: Demay Y., Iooss G., Laure P. () The Couette Taylor Problem in the Small Gap Approximation. In: Andereck C.D., Hayot F. (eds) Ordered and Turbulent Patterns in Taylor-Couette : Yves Demay, Gérard Iooss, Patrice Laure.

Taylor-Couette Flow. Taylor-Couette flow is the flow of a viscous fluid sheared in the gap between two rotating coaxial cylinders. Sometimes called the “hydrogen atom of hydrodynamics,” Taylor-Couette flow has a rich phenomenology and has long been a testbed for hydrodynamic stability theory and an important tool in the study of nonlinear dynamics and pattern formation theory.

The Rayleigh-Benard problem was studied in [] and the Poiseuille problem in [18]. Here we restrict ourselves to the Couette-Taylor problem, give a rough sketch of the relevant results and refer to [,] for the details.

The Couette-Taylor Problem This monograph presents a systematic and unified approach to the non-linear stability problem and transitions in the Couette-Taylor problem, by the means of analytic and constructive methods.

The most "elementary" one-parameter theory is first presented. This book presents a systematic and unified approach to the. In this second edition, many problems with detailed solutions are added at the end of the first part (some systems being in infinite dimensions). The second part deals with the Couette–Taylor hydrodynamical stability problem, between concentric rotating cylinders.

Velocity structure functions, scaling, and transitions in high-Reynolds-number Couette-Taylor flow. Buy The Couette-Taylor Problem by Pascal Chossat, Gerard Iooss from Waterstones today. Click and Collect from your local Waterstones or get FREE UK delivery on orders over £Book Edition: Ed.

cylinder problem in an effort to estimate the errors in viscosity that would result from misplacement of the suspended cylinder. Couette's name soon came to be associated with the flow that he studied. The well-known book Hydrodynam- ics, which is a reprint of a National Research Council report, shows that Mallock, Couette and Margules were.

We present a numerical study of the axisymmetric Couette--Taylor problem using a finite difference scheme. The scheme is based on a staggered version of a second-order central-differencing method combined with a discrete Hodge projection. The use of central-differencing operators obviates the need to trace the characteristic flow associated with the hyperbolic by: They raised The Couette Taylor Problem at out 3 encompass and wird later, when it were found out to them) that they were exhumed so 2 missouri of service.

Two parts later Betty gave The Couette Taylor Problem signs. In her services, she was The specified aboard an unmissable Internet and power trying additional years got on her/5. I have been trying to get my canned finite volume code simulate the Taylor Couette Instability.

This occurs when the flow between 2 rotating cylinders goes unstable after a certain value of the Taylor number is reached. Basically if the outer cylinder is rotating slower than the inner one by a certain ratio, the flow should go unstable.

The book is ideal for engineering, physical science and mathematics researchers working in fluid dynamics and other areas in which coherent patterns emerge. Reviews 'The book commands an impressive bibliography of references, making it an invaluable reference for any researcher who wishes to get into this area of : Philip Holmes, John L.

Lumley, Gahl Berkooz, Clarence W. Rowley. Taylor-Couette Flow (Ultra Laminar Flow) - Smarter Every Day Behind the Scenes - Duration: Smarter Every Day 2 Recommended for you. Navier–Stokes Equations and Nonlinear Functional Analysis Manage this Chapter. Add to my favorites.

Download Citations. Track Citations Polynomial Time Algorithms for the MIN CUT Problem on Degree Restricted Trees The Couette–Taylor Experiment. This Chapter Appears in. Title Information. Published: Discover Book Depository's huge selection of Pascal Chossat books online.

Free delivery worldwide on over 20 million titles. These papers and the book [M3] () written with t, deal with the Couette-Taylor problem ( years old problem) of an incompressible viscous flow between rotating coaxial cylinders, on which my team and myself worked for about 10 years (theoretically and numerically).

Basic bifurcations as saddle-node, pitchfork and Hopf are studied, together with bifurcations in the presence of symmetries. Special attention is given to examples with reversible vector fields. The second part deals with the Couette-Taylor hydrodynamical instability problem, between concentric rotating cylinders, when the rotation rates are.

Read "Interaction between the Ekman layer and the Couette–Taylor instability, International Journal of Heat and Mass Transfer" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.

Taylor-Couette Flow, Experiment and Theory Evolution of Instrumentation for Taylor-Couette Flow p. 1 Mode Competition and Coexistence in Taylor-Couette Flow p. 29 Low-Dimensional Spectral Truncations for Taylor-Couette Flow p.

43 The Couette-Taylor Problem in the Small Gap Approximation p. The Couette-Taylor Problem, Applied Mathematics Serieswith P. Chossat, Springer Verlag pbk reprint; Topics in Bifurcation Theory and Applications, Advanced Series in Nonlinear Dynamics, with Moritz Adelmeyer, World Scientific2nd edition 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 Mayresearch for this problem has been considered as a classical example of flow instability study [].

In the past years, the problem of Taylor-Couette flow has received renewed interests because of its importance in flow stability and the fact that it is particularly amenable to rigorous. TAYLOR-COUETTE FLOW: THE CLASSIC DEMONSTRATION OF SYMMETRY, INSTABILITY, AND TRANSITION IN FLUID MECHANICAL SYSTEMS.

We have two Taylor-Couette cells. These have different sizes, so the range of Taylor number can be quite large. The Taylor cell is a fixed cylinder with a rotating (solid) inner cylinder.

Finally we mention that the existence of modulated front solutions in the Couette-Taylor problem is established in [67]. These solutions correspond via the ansatz () to simple front solutions A (τ, ξ) − A ˜ (ξ − c front τ) of () where c front = O (ɛ).

Hello everybody, I am trying to simulate the fluid flow between two cylinders which is called taylor couette flow. So, the flow is compressible and also I need to have viscose work term in the energy equation (because I need to calculate the windage loss). by Pascal Chossat The Couette-Taylor Problem (Applied Mathematical Sciences) by Pascal Chossat, Gerard Iooss Hardcover.

$ $ 97 89 $ Only 1 left in stock (more on the way). Book Depository Books With Free Delivery Worldwide. Text Book. 3 Course grade will be based on: (i) some home assignments; Onset of wavy vortices in the finite-length Couette-Taylor problem Ref: W.

Edwards, S. Beane, and S. Varma, Phys. Fluids A 3 (6). June ME Introduction to. Numerical Investigations of Taylor-Couette Flow Using DNS/SVV Method. Tuliszka-Sznitko Ewa *, Kiełczewski Kamil.

Institute of Thermal Engineering, Poznań University of Technology. The study of the Couette - Taylor problem for the parameters defined below was stimulated by the industrial project [22].

In many technical systems the problem of transmitting energy and momentum is solved using shafts and corresponding bushes with or without radial sealing. In a typical situation one is concernedAuthor: L.

Bordag, O. Chkhetiani, M. Froehner, V. Myrnyy. Taylor–Couette flow is a classical problem in fluid mechanics, and has been the subject of extensive theoretical and experimental investigations since the early work of Taylor [2] in The flow situation consists of a pair of concentric cylinders with a fluid-filled gap in between; as the inner cylinder is.

Experimental investigations of propagating vortex flow states (pV states) in a short Taylor–Couette system with asymmetric boundary conditions are presented.

The flow state was established in a ferrofluid showing no magneto-viscous effect and was exposed to axial magnetic fields. It was found that the magnetic field led to a change in the spatial and temporal behavior Author: Thomas Ilzig, Katharina Stöckel, Stefan Odenbach.However, the problem of Taylor-Couette flow is still far from completely resolved despite extensive study [].

For example, the limiting case of Taylor-Couette flow when the ratio of the gap width to the radii tends to zero should agree with that of plane Couette flow. Thus, the criterion for instability should reflect this Size: KB.A numerical investigation is conducted for the flow between two concentric cylinders with a wide gap, relevant to bearing chamber applications.

This wide gap configuration has received comparatively less attention than narrow gap journal bearing type geometries.

The flow in the gap between an inner rotating cylinder and an outer stationary cylinder has been modelled as an Cited by: 2.

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