Linear and Nonlinear Stability of Unsteady Circular Couette Flow

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ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.:/5 (175 download)

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Book Synopsis Linear and Nonlinear Stability of Unsteady Circular Couette Flow by : Jyh-Chen Chen

Download or read book Linear and Nonlinear Stability of Unsteady Circular Couette Flow written by Jyh-Chen Chen and published by . This book was released on 1986 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis of the Nonlinear Stability of Circular Couette Flow

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ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.:/5 (354 download)

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Book Synopsis Analysis of the Nonlinear Stability of Circular Couette Flow by : Thorwald Herbert

Download or read book Analysis of the Nonlinear Stability of Circular Couette Flow written by Thorwald Herbert and published by . This book was released on 1986 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work under this contract aimed at three major goals: (1) Reveal the origin of the despin moment that may cause severe flight instability of spin-stabilized artillery shells with liquid payloads; (2) Explore the potential of high-order perturbation methods for describing nonlinear properties of single modes and mode interactions in hydrodynamic stability; and (3) Analyze the mechanism of state selection in unstable circular Taylor-Couette flow. Keywords: Flight instability of liquid-filled shells; Stability of Taylor-vortex flow; Perturbation methods; Spectral methods; Flow visualization.

Experiments on the Stability Characteristics of an Unsteady Circular Couette Flow

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ISBN 13 :
Total Pages : 254 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Experiments on the Stability Characteristics of an Unsteady Circular Couette Flow by : Carl Scott Kirkconnell

Download or read book Experiments on the Stability Characteristics of an Unsteady Circular Couette Flow written by Carl Scott Kirkconnell and published by . This book was released on 1992 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Novel Extension to Classical Nonlinear Stability Theory of the Circular Couette Flow

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ISBN 13 :
Total Pages : 145 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis A Novel Extension to Classical Nonlinear Stability Theory of the Circular Couette Flow by : Pun Wong Yau

Download or read book A Novel Extension to Classical Nonlinear Stability Theory of the Circular Couette Flow written by Pun Wong Yau and published by . This book was released on 2016 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: A nonlinear stability analysis of the viscous circular Couette flow to axisymmetric finite amplitude perturbations under axial periodic boundary conditions is developed. The analysis is based on investigating the properties of a reduced Arnol’d energy Casimir functional Ard of Wang (2009) [75]. A weighted kinetic energy integral of the perturbation, which has a form of Ard, the difference between the reduced Arnol’d functional and its base flow value, is used as a Lyapunov functional. We show that all the inviscid flow effects as well as all the viscous dependent terms that are related to the flow boundaries vanish. The time evolution of Ard depends only on the viscous effects of the perturbation’s dynamics inside the flow domain. The requirement for the temporal decay of Ard leads to two novel sufficient conditions for the nonlinear stability of the circular Couette flow in response to axisymmetric viscous perturbations. The linearized version of these conditions for infinitesimally small perturbations recovers the recent linear stability results by Kloosterziel (2010) [39]. By examining the nonlinear stability conditions, we establish a definite operational region of the viscous circular Couette flow that is independent of the fluid viscosity. In this region of operation, the flow is nonlinearly stable in response to perturbations of any size, provided that the initial total circulation function is above a minimum level determined by the operational conditions of the base flow. Comparisons with historical studies show that our results shed light on the experimental measurements of Wendt (1933) [76], and extend the classical nonlinear stability results of Serrin (1959) [62] and Joseph & Hung (1971) [35]. When the flow is nonlinearly stable and evolves axisymmetrically for all time, then it always decays asymptotically in time to the circular Couette flow determined uniquely by the setup of the rotating cylinders. Finally, we derive upper bound estimates on the decay rate of finite amplitude perturbations for the solid body rotation flow between two co-axial rotating cylinders and for the circular Couette flow. We demonstrate via numerical simulations that the respective analytical upper bounds are relevant to the dynamics of various axisymmetric perturbations tested, where they are strictly obeyed in both examples. This present study provides specific parameter regions for which the circular Couette flow is nonlinearly stable for all Reynolds numbers.

Ordered and Turbulent Patterns in Taylor-Couette Flow

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Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Ordered and Turbulent Patterns in Taylor-Couette Flow by : C. David Andereck

Download or read book Ordered and Turbulent Patterns in Taylor-Couette Flow written by C. David Andereck and published by Springer Science & Business Media. This book was released on 1992 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: These papers are from the NATO Advanced Research Workshop on Ordered and Turbulent Patterns in Taylor-Couette Flow, held in Columbus, Ohio, May 1991. For 70 years, the apparently simple system of a fluid between two rotating cylinders has fascinated scientists, applied mathematicians and engineers.

Linear Stability of Circular Couette Flow at Small Radius Ratios and the Relationship to a Cylinder Rotating in an Unbounded Fluid

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ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (481 download)

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Book Synopsis Linear Stability of Circular Couette Flow at Small Radius Ratios and the Relationship to a Cylinder Rotating in an Unbounded Fluid by : Florent Petteni

Download or read book Linear Stability of Circular Couette Flow at Small Radius Ratios and the Relationship to a Cylinder Rotating in an Unbounded Fluid written by Florent Petteni and published by . This book was released on 2001 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Stability of Unsteady Viscous Flow

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ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlinear Stability of Unsteady Viscous Flow by : Alric P. Rothmayer

Download or read book Nonlinear Stability of Unsteady Viscous Flow written by Alric P. Rothmayer and published by . This book was released on 1995 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ordered and Turbulent Patterns in Taylor-Couette Flow

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Publisher : Springer Science & Business Media
ISBN 13 : 1461534380
Total Pages : 351 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Ordered and Turbulent Patterns in Taylor-Couette Flow by : C. David Andereck

Download or read book Ordered and Turbulent Patterns in Taylor-Couette Flow written by C. David Andereck and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Experiments on the Onset of Instability in Unsteady Circular Couette Flow

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ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Experiments on the Onset of Instability in Unsteady Circular Couette Flow by : Thomas Howard Squire

Download or read book Experiments on the Onset of Instability in Unsteady Circular Couette Flow written by Thomas Howard Squire and published by . This book was released on 1985 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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ISBN 13 :
Total Pages : 776 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1971 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Design of an Experiment for the Study of the Instability of Unsteady Circular Couette Flow

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ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis The Design of an Experiment for the Study of the Instability of Unsteady Circular Couette Flow by : Eddie Ray Cooper

Download or read book The Design of an Experiment for the Study of the Instability of Unsteady Circular Couette Flow written by Eddie Ray Cooper and published by . This book was released on 1985 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear and Nonlinear Stability of Plane Poiseuille-Couette Flow

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (125 download)

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Book Synopsis Linear and Nonlinear Stability of Plane Poiseuille-Couette Flow by : Rishi Kumar

Download or read book Linear and Nonlinear Stability of Plane Poiseuille-Couette Flow written by Rishi Kumar and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Stability of Oscillatory Core-annular Flow: A Generalized Kuramoto-Sivashinsky Equation with Time Periodic Coefficients

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ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Nonlinear Stability of Oscillatory Core-annular Flow: A Generalized Kuramoto-Sivashinsky Equation with Time Periodic Coefficients by : Adrian V. Coward

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:

Frontiers of Fluid Mechanics

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Publisher : Elsevier
ISBN 13 : 1483147576
Total Pages : 1288 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Frontiers of Fluid Mechanics by : Shen Yuan

Download or read book Frontiers of Fluid Mechanics written by Shen Yuan and published by Elsevier. This book was released on 2013-10-22 with total page 1288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frontiers of Fluid Mechanics documents the proceedings of the Beijing International Conference on Fluid Mechanics, held in Beijing, People's Republic of China, 1-4 July 1987. The aims of the conference were to provide a forum for a cross-sectional review of the state-of-the-art and new advances in various branches of fluid mechanics, and to promote the exchange of ideas by experts from different parts of the world. The contributions made by researchers at the conference are organized into 18 parts. Part 1 presents invited lectures covering topics such as separated flow, porous flow, and turbulence modeling. Part 2 contains papers dealing with turbulence. Parts 3, 4, and 5 include studies on flow stability and transition, transonic flow, and boundary layer flows and shock waves, respectively. Part 6 is devoted to aerodynamics and gas dynamics. Part 7 examines water waves while Part 8 is devoted to hydrodynamics and hydraulics. The papers in Part 9 examine bubbles and drops. Part 10 deals with experiments involving vortices, jets, wakes, and cavities. Part 11 contains studies on geophysical and astrophysical fluid mechanics. Parts 12 and 13 investigate two-phase flow and flow through porous media, and non-Newtonian flow, respectively. Part 14 takes up magneto-hydrodynamics and physic-chemical flow. Part 15 covers biofluid mechanics. Part 16 contains papers on industrial and environmental fluid mechanics while Part 17 deals with heat transfer. Part 18 contains papers that were received after the conference.

Stability of Oscillatory Two Phase Couette Flow

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ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Stability of Oscillatory Two Phase Couette Flow by : Institute for Computer Applications in Science and Engineering

Download or read book Stability of Oscillatory Two Phase Couette Flow written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1993 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-normal Dynamics and Hydrodynamic Stability

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ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Non-normal Dynamics and Hydrodynamic Stability by : Jeffrey Scott Baggett

Download or read book Non-normal Dynamics and Hydrodynamic Stability written by Jeffrey Scott Baggett and published by . This book was released on 1996 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Stability Analyses of Non-Isothermal Viscoelastic Taylor-Couette Flow

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ISBN 13 :
Total Pages : 2 pages
Book Rating : 4.:/5 (432 download)

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Book Synopsis Nonlinear Stability Analyses of Non-Isothermal Viscoelastic Taylor-Couette Flow by : U. A. Al-Mubaiyedh

Download or read book Nonlinear Stability Analyses of Non-Isothermal Viscoelastic Taylor-Couette Flow written by U. A. Al-Mubaiyedh and published by . This book was released on 1999 with total page 2 pages. Available in PDF, EPUB and Kindle. Book excerpt: