The Stability of Viscous Flow Between Rotating Cylinders in the Presence of Radial Temperature Gradient

The Stability of Viscous Flow Between Rotating Cylinders in the Presence of Radial Temperature Gradient

Author: Paul Lieber

Publisher:

Published: 1963

Total Pages: 64

ISBN-13:

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The differential equations for small perturbations of the basic viscous and heat flows in the problem indicated are derived, and the critical conditions are obtained for a number of cases, each treated in a separate section. The results obtained elucidate the physical equivalence of the viscous and thermal causes of instability and establish the effect of their interaction on instability in terms of an interaction parameter. It is thus found that transitions, which can be individually produced by separately applying velocity or temperature gradients, are strongly conditioned by the interaction of these gradients when applied simultaneously. (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.


Modelling of Convective Heat and Mass Transfer in Nanofluids with and without Boiling and Condensation

Modelling of Convective Heat and Mass Transfer in Nanofluids with and without Boiling and Condensation

Author: Andriy A. Avramenko

Publisher: Springer Nature

Published: 2022-02-12

Total Pages: 275

ISBN-13: 3030950816

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This book presents step-by-step description of the use of Lie group analysis to find symmetry forms and similarity solutions for single- and two-phase laminar and turbulent flows of nanofluids. It outlines novel and unique analytical solutions validated via comparisons with experimental data. The main part of the book is devoted to analytical modeling of film condensation of still and moving vapor with nanoparticles, stable film boiling of nanofluids, instantaneous unsteady boiling and condensation of nano- and ordinary fluids and clarification and quantification of instability conditions in the vapor layer, as well as centrifugal and Dean instability in nanofluids. It was demonstrated that such complex phenomena can be successfully simulated using the proposed approaches validated via reliable experiments. The book is intended for scientists, engineers, graduate and undergraduate students specializing in the area of engineering thermodynamics, heat and mass transfer and energy systems.


The Method of Weighted Residuals and Variational Principles

The Method of Weighted Residuals and Variational Principles

Author: Bruce A. Finlayson

Publisher: SIAM

Published: 2013-12-30

Total Pages: 429

ISBN-13: 1611973244

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This classic book covers the solution of differential equations in science and engineering in such as way as to provide an introduction for novices before progressing toward increasingly more difficult problems. The Method of Weighted Residuals and Variational Principles describes variational principles, including how to find them and how to use them to construct error bounds and create stationary principles. The book also illustrates how to use simple methods to find approximate solutions, shows how to use the finite element method for more complex problems, and provides detailed information on error bounds. Problem sets make this book ideal for self-study or as a course text.


Stratified Flows

Stratified Flows

Author: Chia-Shun Yih

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 439

ISBN-13: 0323150403

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Stratified Flows is the second edition of the book Dynamics of Nonhomogenous Fluids. This book discusses the flow of a fluid of variable density or entropy in a gravitational field. In this edition, corrections have been made; unnecessary parts have been omitted; and new sections as well as notes on results related to the subject have been added. This book includes a general discussion of the effects of density or entropy and the structure of stratified flows; waves of small amplitude; the Eigenvalue problem; dependence of phase velocity on wavelength; wave motion; steady flows of finite amplitude; and types of solutions for steady flows. This edition also covers other topics such as hydrodynamic stability; flows in porous media; and the analogy between gravitational and electromagnetic forces. This text is recommended for those in the field of physics who would like to be familiarized with stratified flows and its related concepts.


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.