Experiments on the Stability of Viscous Flow Between Rotating Cylinders. Vi. Finite-amplitude Experiments
Experiments on the Stability of Viscous Flow Between Rotating Cylinders. Vi. Finite-amplitude Experiments

Author: R. J. DONNELLY

Publisher:

Published: 1964

Total Pages: 26

ISBN-13:

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The ion technique is applied to a variety of experiments in Couette flow: determination of the critical Taylor number; determination of wavenumber and waveform of the vortices; establishment of the laws that the square of the amplitude and the amplification factor both vary as the difference between the Taylor number and the critical Taylor number; and finally certain studies ofte growth and decay of vortices as the Taylor number is changed. The experimental data are compared with the results of integration of the exact equations for the linear stability problem by means of a high-speed computer. These theoretical values were obtained by P.H. Roberts and are presented in an appendix to this paper. (Author).

Experiments on the Stability of Viscous Flow Between Rotating Cylinders. V. the Theory of the Ion Technique
Experiments on the Stability of Viscous Flow Between Rotating Cylinders. V. the Theory of the Ion Technique

Author: R. J. Donnelly

Publisher:

Published: 1964

Total Pages: 12

ISBN-13:

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The theory underlying the ion technique described in part IV (AD-613 384) of this series is developed: the equations are written down and solved under certain simplifying assumptions which appear physically reasonable. The results explain observations made in part IV by showing, in particular, that the current changes are linearly proportional to the radial component of the perturbations on the flow. (Author).

Experiments on the Stability of Viscous Flow Between Rotating Cylinders. Iv. the Ion Technique
Experiments on the Stability of Viscous Flow Between Rotating Cylinders. Iv. the Ion Technique

Author: R. J. DONNELLY

Publisher:

Published: 1964

Total Pages: 12

ISBN-13:

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The development of an instrument which responds to the radial component of a Taylor vortex is described. The method is to measure the current passing through the vortex in a fluid of low conductivity, such as carbon tetrachloride. Experiments, performed to check the usefulness of the technique are reported. (Author).

Ordered and Turbulent Patterns in Taylor-Couette Flow
Ordered and Turbulent Patterns in Taylor-Couette Flow

Author: C. David Andereck

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 351

ISBN-13: 1461534380

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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.

Nonlinear Partial Differential Equations
Nonlinear Partial Differential Equations

Author: W. F. Ames

Publisher: Academic Press

Published: 2014-05-12

Total Pages: 335

ISBN-13: 1483221504

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Nonlinear Partial Differential Equations: A Symposium on Methods of Solution is a collection of papers presented at the seminar on methods of solution for nonlinear partial differential equations, held at the University of Delaware, Newark, Delaware on December 27-29, 1965. The sessions are divided into four Symposia: Analytic Methods, Approximate Methods, Numerical Methods, and Applications. Separating 19 lectures into chapters, this book starts with a presentation of the methods of similarity analysis, particularly considering the merits, advantages and disadvantages of the methods. The subsequent chapters describe the fundamental ideas behind the methods for the solution of partial differential equation derived from the theory of dynamic programming and from finite systems of ordinary differential equations. These topics are followed by reviews of the principles to the lubrication approximation and compressible boundary-layer flow computation. The discussion then shifts to several applications of nonlinear partial differential equations, including in electrical problems, two-phase flow, hydrodynamics, and heat transfer. The remaining chapters cover other solution methods for partial differential equations, such as the synergetic approach. This book will prove useful to applied mathematicians, physicists, and engineers.

Statistical Fluid Mechanics
Statistical Fluid Mechanics

Author: Andre? Sergeevich Monin

Publisher: Courier Corporation

Published: 2007-01-01

Total Pages: 786

ISBN-13: 0486458830

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"If ever a book on turbulence could be called definitive," declared Science, "it is this book by two of Russia's most eminent and productive scientists in turbulence, oceanography, and atmospheric physics." Noted for its clarity as well as its comprehensive treatment, this two-volume set serves as text or reference. 1971 edition.

Advances in Heat Transfer
Advances in Heat Transfer

Author:

Publisher: Academic Press

Published: 1991-05-02

Total Pages: 365

ISBN-13: 0080575757

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This volume in a series on heat transfer covers the modelling of the dynamics of turbulent transport processes, supercritical pressures, hydrodynamics, mass transfer near rotating surfaces, lost heat in entropy and the mechanics of heat transfer in a multifluid bubbling pool. Other related titles are "Advances in Heat Transfer", volumes 18, 19 and 20.