Studies of the Hydrodynamics of a Viscous Liquid Film Flowing Down an Inclined Plane PDF Download
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Author: Robert Walter Atherton
Publisher:
ISBN:
Category : Hydrodynamics
Languages : en
Pages : 324
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Book Description
Author: Robert Walter Atherton
Publisher:
ISBN:
Category : Hydrodynamics
Languages : en
Pages : 324
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Author: Alfred Carasso
Publisher:
ISBN:
Category : Initial value problems
Languages : en
Pages : 51
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Book Description
The authors develop a tractable, and mathematically rigorous, asymptotic theory for the development of instability in viscous fluid flow down an inclined plane, at supercritical Reynolds numbers. The theory involves consideration of an ill posed problem, and provides a new example of the way such problems come up in applied mathematics. It is shown how one may use additional information, inherent in the problem one really wishes to solve, in order to regularize this improperly posed problem. The authors discuss several numerical experiments and compare the results with experimental observations of 'roll waves' and 'slug flows' in inclined channels, at similar slopes and Reynolds numbers. The results are in agreement with observations.
Author: S. Kalliadasis
Publisher: Springer Science & Business Media
ISBN: 1848823673
Category : Mathematics
Languages : en
Pages : 446
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Book Description
Falling Liquid Films gives a detailed review of state-of-the-art theoretical, analytical and numerical methodologies, for the analysis of dissipative wave dynamics and pattern formation on the surface of a film falling down a planar inclined substrate. This prototype is an open-flow hydrodynamic instability, that represents an excellent paradigm for the study of complexity in active nonlinear media with energy supply, dissipation and dispersion. It will also be of use for a more general understanding of specific events characterizing the transition to spatio-temporal chaos and weak/dissipative turbulence. Particular emphasis is given to low-dimensional approximations for such flows through a hierarchy of modeling approaches, including equations of the boundary-layer type, averaged formulations based on weighted residuals approaches and long-wave expansions. Whenever possible the link between theory and experiment is illustrated, and, as a further bridge between the two, the development of order-of-magnitude estimates and scaling arguments is used to facilitate the understanding of basic, underlying physics. This monograph will appeal to advanced graduate students in applied mathematics, science or engineering undertaking research on interfacial fluid mechanics or studying fluid mechanics as part of their program. It will also be of use to researchers working on both applied, fundamental theoretical and experimental aspects of thin film flows, as well as engineers and technologists dealing with processes involving isothermal or heated films. This monograph is largely self-contained and no background on interfacial fluid mechanics is assumed.
Author: Fu-Kuang Hsu
Publisher:
ISBN:
Category : Multiphase flow
Languages : en
Pages : 136
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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: Michael Frank Gray Johnson
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Comparisons of the shape and wavelength data for rivulets from a 2-D fluid front have been made with the limited amount of literature data for a similar problem and with theoretical predictions for the rivulet wavelength. Some of the comparisons show agreement with aspects of the existing theory, but significant differences exist which can be related to the different experimental methods used.
Author: Henri Berestycki
Publisher: Springer Science & Business Media
ISBN: 9401003076
Category : Mathematics
Languages : en
Pages : 525
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Book Description
Nonlinear partial differential equations abound in modern physics. The problems arising in these fields lead to fascinating questions and, at the same time, progress in understanding the mathematical structures is of great importance to the models. Nevertheless, activity in one of the approaches is not always sufficiently in touch with developments in the other field. The book presents the joint efforts of mathematicians and physicists involved in modelling reactive flows, in particular superconductivity and superfluidity. Certain contributions are fundamental to an understanding of such cutting-edge research topics as rotating Bose-Einstein condensates, Kolmogorov-Zakharov solutions for weak turbulence equations, and the propagation of fronts in heterogeneous media.
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309065372
Category : Science
Languages : en
Pages : 1039
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Book Description
The Twenty-Second Symposium on Naval Hydrodynamics was held in Washington, D.C., from August 9-14, 1998. It coincided with the 100th anniversary of the David Taylor Model Basin. This international symposium was organized jointly by the Office of Naval Research (Mechanics and Energy Conversion S&T Division), the National Research Council (Naval Studies Board), and the Naval Surface Warfare Center, Carderock Division (David Taylor Model Basin). This biennial symposium promotes the technical exchange of naval research developments of common interest to all the countries of the world. The forum encourages both formal and informal discussion of the presented papers, and the occasion provides an opportunity for direct communication between international peers.
Author: Haroon S. Kheshgi
Publisher:
ISBN:
Category :
Languages : en
Pages : 458
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Author:
Publisher:
ISBN:
Category : Chemistry
Languages : en
Pages : 544
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Book Description
