Two-Fluid Couette Flow Between Concentric Cylinders

Two-Fluid Couette Flow Between Concentric Cylinders

Author: Y. Renardy

Publisher:

Published: 1984

Total Pages: 29

ISBN-13:

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This document considers the flow of two immiscible fluids lying between concentric cylinders when the outer cylinder is fixed and the inner one rotates. The interface is assumed to be concentric with the cylinders and gravitational effects are neglected. The authors present a numerical study of the effect of different viscosities, different densities and surface tension on the linear stability of the Couette flow. Their results indicate that with surface tension, a thin layer of the less viscous fluid next to either cylinder is linearly stable and that it is possible to have stability with the less dense fluid lying outside. The stable configuration with the less viscous fluid next to the inner cylinder is more stable than the one with the less viscous fluid next to the outer cylinder. The onset of Taylor instability for one-fluid flow may be delayed by the addition of a thin layer of less viscous fluid on the inner wall and promoted by a layer of more viscous fluid on the inner wall. (Author).


Fundamentals of Two-Fluid Dynamics

Fundamentals of Two-Fluid Dynamics

Author: Daniel D. Joseph

Publisher: Springer Science & Business Media

Published: 2013-11-21

Total Pages: 489

ISBN-13: 1461392934

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Two-fluid dynamics is a challenging subject rich in physics and prac tical applications. Many of the most interesting problems are tied to the loss of stability which is realized in preferential positioning and shaping of the interface, so that interfacial stability is a major player in this drama. Typically, solutions of equations governing the dynamics of two fluids are not uniquely determined by the boundary data and different configurations of flow are compatible with the same data. This is one reason why stability studies are important; we need to know which of the possible solutions are stable to predict what might be observed. When we started our studies in the early 1980's, it was not at all evident that stability theory could actu ally work in the hostile environment of pervasive nonuniqueness. We were pleasantly surprised, even astounded, by the extent to which it does work. There are many simple solutions, called basic flows, which are never stable, but we may always compute growth rates and determine the wavelength and frequency of the unstable mode which grows the fastest. This proce dure appears to work well even in deeply nonlinear regimes where linear theory is not strictly valid, just as Lord Rayleigh showed long ago in his calculation of the size of drops resulting from capillary-induced pinch-off of an inviscid jet.


A Brief Introduction to Fluid Mechanics

A Brief Introduction to Fluid Mechanics

Author: Donald F. Young

Publisher: John Wiley & Sons

Published: 2010-11-23

Total Pages: 604

ISBN-13: 0470596791

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A Brief Introduction to Fluid Mechanics, 5th Edition is designed to cover the standard topics in a basic fluid mechanics course in a streamlined manner that meets the learning needs of today?s student better than the dense, encyclopedic manner of traditional texts. This approach helps students connect the math and theory to the physical world and practical applications and apply these connections to solving problems. The text lucidly presents basic analysis techniques and addresses practical concerns and applications, such as pipe flow, open-channel flow, flow measurement, and drag and lift. It offers a strong visual approach with photos, illustrations, and videos included in the text, examples and homework problems to emphasize the practical application of fluid mechanics principles


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.


Linearized Secondary Flow Between Concentric Cylinders with a Narrow Annulus

Linearized Secondary Flow Between Concentric Cylinders with a Narrow Annulus

Author: William Albert Orth

Publisher:

Published: 1970

Total Pages: 117

ISBN-13:

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A viscous incompressible fluid is contained in a narrow annular region between two concentric cylinders rotating at slightly different velocities. The annulus is bounded on tope and bottom by plates with angular velocities differing from either or both cylinder velocities. The solutions for the fluid velocity profiles are obtained from the linearized vorticity equations considered in the limit as the Ekman number vanishes. Four related problems are discussed in some depth. (Author).


Theory and Applications of Viscous Fluid Flows

Theory and Applications of Viscous Fluid Flows

Author: Radyadour Kh. Zeytounian

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 498

ISBN-13: 3662104474

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This book closes the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. Each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work.


Engineering Fluid Mechanics

Engineering Fluid Mechanics

Author: William Graebel

Publisher: CRC Press

Published: 2001-01-19

Total Pages: 704

ISBN-13: 9781560327110

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Fluid mechanics is a core component of many undergraduate engineering courses. It is essential for both students and lecturers to have a comprehensive, highly illustrated textbook, full of exercises, problems and practical applications to guide them through their study and teaching. Engineering Fluid Mechanics By William P. Grabel is that book The ISE version of this comprehensive text is especially priced for the student market and is an essential textbook for undergraduates (particularly those on mechanical and civil engineering courses) designed to emphasis the physical aspects of fluid mechanics and to develop the analytical skills and attitudes of the engineering student. Example problems follow most of the theory to ensure that students easily grasp the calculations, step by step processes outline the procedure used, so as to improve the students' problem solving skills. An Appendix is included to present some of the more general considerations involved in the design process. The author also links fluid mechanics to other core engineering courses an undergraduate must take (heat transfer, thermodynamics, mechanics of materials, statistics and dynamics) wherever possible, to build on previously learned knowledge.


Solved Problems In Transport Phenomena: Momentum Transfer

Solved Problems In Transport Phenomena: Momentum Transfer

Author: Ismail Tosun

Publisher: World Scientific

Published: 2022-10-04

Total Pages: 277

ISBN-13: 9811256268

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Transport Phenomena is an umbrella term to describe the fundamental processes of momentum, energy, and mass transfer.This unique compendium covers momentum transfer at the microscopic and macroscopic levels in the three stages of problem-solving, namely formulation, simplification, and mathematical solution. The book does not overwhelm students with a large repertoire of problems. Instead, it highlights clear and easy presentation to help students grasp the methodology in problem-solving.This useful reference text benefits upper undergraduate and graduate level students in the fields of chemical, mechanical, civil, and environmental engineering.Related Link(s)


Fluid Dynamics for Global Environmental Studies

Fluid Dynamics for Global Environmental Studies

Author: Dept. Earth Sys Sci. Tech., Interdis.Grad Sch Engg Sci, Kyushu Univ.

Publisher: Springer

Published: 2017-04-06

Total Pages: 384

ISBN-13: 4431564993

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This book introduces the basic concepts of environmental fluid dynamics. It is intended for use by students, researchers, engineers, and specialists working not only in general fluid research but also in the atmospheric and oceanic research fields. The Earth is covered by atmosphere and oceans and is exposed to solar wind. Therefore, the knowledge of fluid dynamics is essential for tackling its environmental issues. Although many textbooks have treated fluid dynamics, practically no book has been published that clearly describes all essential ideas, from the fundamentals of fluid dynamics to advanced environmental sciences, with careful sequential explanations of the governing mathematics. This book has been developed to solve these educational problems and has actually been in use in lectures in the graduate school of Kyushu University for more than 15 years.


Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems

Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems

Author: F.H. Busse

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 552

ISBN-13: 1468457934

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This volume contains papers contributed to the NATO Advanced Research Workshop "Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems" held in Streitberg, Fed. Rep. Germany, Sept. 24 through 30, 1989. The purpose of the rather long title has been to focus attention on a particularly fruitful direction of research within the broad field covered by terms like Nonlinear Dynamics or Non-Equilibrium Systems. After physicists have been occupied for several decades mainly with the microscopic structure of matter, recent years have witnessed a resurgence of interest in macroscopic patterns and dynamics. Research on these latter phenomena has not been dormant, of course, since fluid dynamicists interested in the origin of turbulence, meteorologists studying weather patterns and numerous other scientists have continued to advance the understanding of the structures relevant to their disciplines. The recent progress in the dynamics of nonl inear systems wi th few degrees of freedom and the discovery of universal laws such as the Feigenbaum scaling of period-doubling cascades has given rise to new hopes for the understanding of common principles underlying the spontaneous formation of structures in extended continuous systems.