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Analysis Of The Nonlinear Stability Of Circular Couette Flow
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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.
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.
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:
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:
Download or read book Research in Progress written by and published by . This book was released on 1983 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Research in Progress by : United States. Army Research Office
Download or read book Research in Progress written by United States. Army Research Office and published by . This book was released on 1984 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1977- consist of two parts: Chemistry, biological sciences, engineering sciences, metallurgy and materials science (issued in the spring); and Physics, electronics, mathematics, geosciences (issued in the fall).
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:
Book Synopsis Stability of Fluid Motions I by : D. D. Joseph
Download or read book Stability of Fluid Motions I written by D. D. Joseph and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of stability aims at understanding the abrupt changes which are observed in fluid motions as the external parameters are varied. It is a demanding study, far from full grown"whose most interesting conclusions are recent. I have written a detailed account of those parts of the recent theory which I regard as established. Acknowledgements I started writing this book in 1967 at the invitation of Clifford Truesdell. It was to be a short work on the energy theory of stability and if I had stuck to that I would have finished the writing many years ago. The theory of stability has developed so rapidly since 1967 that the book I might then have written would now have a much too limited scope. I am grateful to Truesdell, not so much for the invitation to spend endless hours of writing and erasing, but for the generous way he has supported my efforts and encouraged me to higher standards of good work. I have tried to follow Truesdell's advice to write this work in a clear and uncomplicated style. This is not easy advice for a former sociologist to follow; if I have failed it is not due to a lack of urging by him or trying by me. My research during the years 1969-1970 was supported in part by a grant from the Guggenheim foundation to study in London.
Book Synopsis Nonlinear Effects in Hydrodynamic Stability by : T. Herbert
Download or read book Nonlinear Effects in Hydrodynamic Stability written by T. Herbert and published by . This book was released on 1984 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interest in the analysis of nonlinear effects is motivated by examples of insufficient agreement between observation and results of the linear theory for the prototypes of Taylor-Couette flow and plane Poiseuille flow. The principal methods of the analysis of nonlinear problems are characterized. The weakly nonlinear theory for a single normal mode and the calculation and use of high-order landau constants is discussed. A survey is given on weakly nonlinear models of observed phenomena. (Author).
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:
Book Synopsis Stabilitaetsuntersuchung an Einer Oszillierenden Couette-Stroemung. Teil I: Nichtlineare Theorie. Teil II: Lineare Theorie (Stability Investigation of an Oscillating Couette Flow. Part I. Nonlinear Theory. Part II. Linear Theory). by : Peter Herfort
Download or read book Stabilitaetsuntersuchung an Einer Oszillierenden Couette-Stroemung. Teil I: Nichtlineare Theorie. Teil II: Lineare Theorie (Stability Investigation of an Oscillating Couette Flow. Part I. Nonlinear Theory. Part II. Linear Theory). written by Peter Herfort and published by . This book was released on 1972 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: The flow of a viscous fluid in the ringspace between two infinitely long coaxial cylinders the outer one oscillating in the axial direction and the inner one rotating with a constant angular velocity is subjected to a linear stability analysis. An oscillating Taylor-vortex flow is seen to arise when the Reynolds-number reaches a critical value for the steady Couette-flow.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
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:
Book Synopsis Nonlinear Stability of Couette Flows of Micropolar Fluids by : Nicholas C. Vlessis
Download or read book Nonlinear Stability of Couette Flows of Micropolar Fluids written by Nicholas C. Vlessis and published by . This book was released on 1984 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hydraulic Research in the United States and Canada, 1974 by : Pauline H. Gurewitz
Download or read book Hydraulic Research in the United States and Canada, 1974 written by Pauline H. Gurewitz and published by . This book was released on 1976 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
