Handbook of Mathematical Fluid Dynamics

Handbook of Mathematical Fluid Dynamics
Author: S. Friedlander
Publisher: Gulf Professional Publishing
Total Pages: 627
Release: 2003-03-27
Genre: Science
ISBN: 008053354X

The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.

Instabilities in Multiphase Flows

Instabilities in Multiphase Flows
Author: A. Berlemont
Publisher: Springer Science & Business Media
Total Pages: 339
Release: 2013-06-29
Genre: Social Science
ISBN: 148991594X

The study of multiphase flows is of utmost interest for engineers who are more or less inevitably faced with them when handling various industrial processes or when dealing with environmental problems such as the dispersion of pollutants. It is also a large kingdom assembling many beautiful and weird landscapes in which wandering researchers may be caught by the fascination of precious stones or mysterious insets to deep and obscure caverns. Unfortunately, it is also an historically disconnected field of research, as testified by any textbook contents or by the scientific programs of conferences devoted to multiphase flows. For instance, is there a relation between fluidization and the study of interfacial waves, or between the behaviour of an annular film of liquid and the one of a free surface heated from below? The answer is indeed: yes. To help reveal some unity behind the avatars of multiphase flow behaviours, it has been decided to focus the interest on the instability phenomena. This book therefore provides the reader with most of the papers which have been accepted and/or presented at the international symposium on "instabilities in multiphase flows" held at the National Institute for Applied Science (INS A) in Rouen, France, from the 11 th of May to the 14th of May 1992. The topic of the conference has produced a strong emphasis on instability theory and nonlinear dynamics, including chaotic phenomena.

On the Nonlinear Interfacial Instability of Rotating Core-annular Flow

On the Nonlinear Interfacial Instability of Rotating Core-annular Flow
Author: Institute for Computer Applications in Science and Engineering
Publisher:
Total Pages: 48
Release: 1993
Genre:
ISBN:

The interfacial stability of rotating core-annular flows is investigated. The linear and nonlinear effects are considered for the case when the annular region is very thin. Both asymptotic and numerical methods are used to solve the flow in the core and film regions which are coupled by a difference in viscosity and density. The long-time behaviour of the fluid-fluid interface is determined by deriving its nonlinear evolution in the form of a modified Kuramoto-Sivashinsky equation. We obtain a generalization of this equation to three dimensions. The flows considered are applicable to a wide array of physical problems where liquid films are used to lubricate higher or lower viscosity core fluids, for which a concentric arrangement is desired. Linearized solutions show that the effects of density and viscosity stratification are crucial to the stability of the interface. Rotation generally destabilizes non-axisymmetric disturbances to the interface, whereas the centripetal forces tend to stabilize flows in which the film contains the heavier fluid. Nonlinear affects allow finite amplitude helically travelling waves to exist when the fluids have different viscosities ... Core-annular flows, Interfacial instability.

Liquid Sloshing Dynamics

Liquid Sloshing Dynamics
Author: Raouf A. Ibrahim
Publisher:
Total Pages: 972
Release: 2005-09
Genre: Science
ISBN: 0511123647

This book deals with almost every aspect of liquid sloshing dynamics.