A Linear Stability Analysis of Gas-liquid Interface PDF Download
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Author: J. Lee
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: J. Lee
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Prakash B. Joshi
Publisher:
ISBN:
Category :
Languages : en
Pages : 225
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Book Description
A theoretical study of linear stability of a gas/liquid interface with and without evaporation at the interface is presented. The zero mass transfer problem is solved for linear mean velocity profiles in both gas and liquid. The mass transfer problem is solved for small rates of evaporation, which allows the reduction of exponential mean profiles to linear profiles. This makes the governing ORR-Sommerfeld, temperature and concentration perturbation equations amenable to closed form analytical solutions and therefore enables one to isolate the effects of mass transfer. The present analysis considers instabilities in both gas and liquid motions and thus departs from the customary assumption of gas motion over a rigid wavy wall. The system of governing equations yields an eigenvalue problem upon employing the methods of stability theory. The present results show that neglecting instabilities in the gas motion would predict a stable interface at moderate values of wave number when it is actually unstable. Mass transfer investigations are restricted to the modified Kelvin-Helmholtz mode and computations indicate that interface evaporation has a destabilizing effect at moderate wave numbers. (Author).
Author: Alfonso Prieto Guerrero
Publisher: Woodhead Publishing
ISBN: 0081024460
Category : Business & Economics
Languages : en
Pages : 474
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Book Description
Linear and Non-Linear Stability Analysis in Boiling Water Reactors: The Design of Real-Time Stability Monitors presents a thorough analysis of the most innovative BWR reactors and stability phenomena in one accessible resource. The book presents a summary of existing literature on BWRs to give early career engineers and researchers a solid background in the field, as well as the latest research on stability phenomena (propagation phenomena in BWRs), nuclear power monitors, and advanced computer systems used to for the prediction of stability. It also emphasizes the importance of BWR technology and embedded neutron monitoring systems (APRMs and LPRMs), and introduces non-linear stability parameters that can be used for the onset detection of instabilities in BWRs. Additionally, the book details the scope, advantages, and disadvantages of multiple advanced linear and non linear signal processing methods, and includes analytical case studies of existing plants. This combination makes Linear and Non-Linear Stability Analysis in Boiling Water Reactors a valuable resource for nuclear engineering students focusing on linear and non-linear analysis, as well as for those working and researching in a nuclear power capacity looking to implement stability methods and estimate decay ratios using non-linear techniques. - Explores the nuclear stability of Boiling Water Reactors based on linear and non-linear models - Evaluates linear signal processing methods such as autoregressive models, Fourier-based methods, and wavelets to calculate decay ratios - Proposes novel non-linear signal analysis techniques linked to non-linear stability indicators - Includes case studies of various existing nuclear power plants as well as mathematical models and simulations
Author: Richard E. Meyer
Publisher: Academic Press
ISBN: 1483265145
Category : Mathematics
Languages : en
Pages : 370
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Book Description
Mathematics Research Center Symposium: Waves on Fluid Interfaces covers the proceedings of a symposium conducted by the Mathematics Research Center of the University of Wisconsin-Madison on October 18-20, 1982. The book focuses on nonlinear instabilities of classical interfaces, physical structure of real interfaces, and the challenges these reactions pose to the understanding of fluids. The selection first elaborates on finite-amplitude interfacial waves, instability of finite-amplitude interfacial waves, and finite-amplitude water waves with surface tension. Discussions focus on reformulation as an integro-differential equation, perturbation solutions, results for interfacial waves with current jump, wave of zero height, weakly nonlinear waves, and numerical methods. The text then takes a look at generalized vortex methods for free-surface flows; a review of solution methods for viscous flow in the presence of deformable boundaries; and existence criteria for fluid interfaces in the absence of gravity. The book ponders on the endothelial interface between tissue and blood, moving contact line, rupture of thin liquid films, film waves, and interfacial instabilities caused by air flow over a thin liquid layer. Topics include stability analysis of liquid film, interpretation of film instabilities, simple film, linear stability theory, inadequacy of the usual hydrodynamic model, and marcomolecule transport across the artery wall. The selection is a valuable source of data for researchers interested in the reactions of waves on fluid interfaces.
Author: Yuanyuan Song
Publisher:
ISBN:
Category :
Languages : en
Pages : 264
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Airways in the lung are coated with a liquid bilayer consisting of a serous layer adjacent to a more viscous mucus layer which is contiguous with the air core. An instability due to surface tension at the interfaces may lead to the formation of a liquid plug that blocks the passage of air. This is known as airway closure. A stability analysis is carried out for the case when a Newtonian and immiscible liquid bilayer coats a compliant tube in the presence of an insoluble surfactant monolayer at the mucus-gas interface. A surface active material such as surfactant lowers the surface tension and also generates a surface stress at the interface, both of which are stabilizing, while the wall compliance may accelerate the formation of the liquid bridge. A system of nonlinear coupled equations for the deflections of the interfaces and the surfactant concentration is derived by using an extended lubrication theory analysis. A linear stability study using normal modes is conducted by linearizing the nonlinear evolution equations. A linear eigenvalue problem for the perturbation amplitudes is obtained. Non-trivial solutions are obtained provided the determinant of a linear system is singular. A fourth order polynomial for the growth rate of the disturbances is derived, whose coefficients depend on the wavenumber of the perturbation, the wall characteristics, the Marangoni number, the thickness of the bilayer, the aspect thickness ratio, the viscosity ratio of two liquid layers, and the surface tension ratio. Both stabilizing and destabilizing effects of various system parameters are investigated. A classical lubrication theory model is also derived for cases where a bilayer coats a rigid tube with insoluble surfactant along the liquid-gas interface, and a bilayer coating in a compliant tube with a clean liquid-gas interface. Results serve as a validation of the extended lubrication theory model. The accuracy of the extended lubrication theory model as the bilayer thickness increases is tested by considering a more general approach that is valid for arbitrary bilayer thickness. A system of two Orr-Sommerfeld equations is obtained using this more general approach, and together with the boundary conditions yields an eigenvalue problem for the growth rate. Validations and comparisons with lubrication theory models (both extended and classical ones) are provided. The nonlinear evolution equations are also solved numerically beyond the linear regime for the case of a bilayer coating a compliant tube together with surfactant along the mucus-gas interface in the last part of this thesis. These equations are solved numerically using the method of lines. Numerical results show that the closure time, that is the time requires for a liquid plug to form, goes up with Marangoni number. It is well known that for a single layer, the closure time can increase by a factor of four or five due to surfactant which immobilizes the gas-liquid interface. However, for a bilayer, surfactant may delay closure by a factor of twenty or more.
Author: Wei Shyy
Publisher: Cambridge University Press
ISBN: 9780521642668
Category : Science
Languages : en
Pages : 482
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Book Description
In this book experts discuss research and applications in interfacial fluid dynamics.
Author: Po Li. N N
Publisher: CRC Press
ISBN: 1351093126
Category : Science
Languages : en
Pages : 415
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Book Description
Volume two of the series focuses on the topics of extraction, filtration, heatless adsorption, hydrometallurgical extraction, interfacial phenomena, separation of gases by regenerative sorption, various polymeric membrane systems, such as electrodialysis, ultrafiltration, reverse osmosis. Gas and liquid separations by selective permeation through polymeric membrane, and the origin of separate system. The last topic, as a special feature of interest, provides an analysis of the genesis and development of new separation techniques.
Author: Igor Gaissinski
Publisher: CRC Press
ISBN: 1351029045
Category : Mathematics
Languages : en
Pages : 658
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Book Description
This volume is dedicated to modeling in fluid mechanics and is divided into four chapters, which contain a significant number of useful exercises with solutions. The authors provide relatively complete references on relevant topics in the bibliography at the end of each chapter.
Author: A. Berlemont
Publisher: Springer Science & Business Media
ISBN: 148991594X
Category : Social Science
Languages : en
Pages : 339
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Book Description
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.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 620
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