On Viscous Fluid Flow Down an Inclined Plane and the Development of Roll Waves PDF Download
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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: 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: Massimo Greco
Publisher: CRC Press
ISBN: 1482298341
Category : Science
Languages : en
Pages : 1469
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Book Description
RiverFlow 2004 is the Second International Conference on Fluvial Hydraulics, organized as speciality conferences under the auspices of the International Association of Hydraulic Engineering and Research (IAHR) within its Fluvial Hydraulics and Eco Hydraulics Sections. RiverFlow conferences are a significant forum of discussion for many researchers
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 584
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Author: Society for Industrial and Applied Mathematics
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 758
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Book Description
Contains research articles on mathematical methods and their applications in the physical, engineering, biological, and medical sciences.
Author: Xinming Tang
Publisher: CRC Press
ISBN: 0415408156
Category : Science
Languages : en
Pages : 2385
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Book Description
Developments in Geographic Information Technology have raised the expectations of users. A static map is no longer enough; there is now demand for a dynamic representation. Time is of great importance when operating on real world geographical phenomena, especially when these are dynamic. Researchers in the field of Temporal Geographical Information Systems (TGIS) have been developing methods of incorporating time into geographical information systems. Spatio-temporal analysis embodies spatial modelling, spatio-temporal modelling and spatial reasoning and data mining. Advances in Spatio-Temporal Analysis contributes to the field of spatio-temporal analysis, presenting innovative ideas and examples that reflect current progress and achievements.
Author: University of Wisconsin--Madison. Mathematics Research Center
Publisher:
ISBN:
Category : Applied mathematics
Languages : en
Pages : 550
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Book Description
Author: Uma Balakrishnan
Publisher: LAP Lambert Academic Publishing
ISBN: 9783843390149
Category :
Languages : en
Pages : 344
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Book Description
The work considers some free surface problems and attempts to understand the intrinsic complex behavior of waves in thin films down an inclined plane or vertical wall. The viscous Newtonian thin film or non-Newtonian inelastic power-law film or viscoelastic film down an inclined plane or vertical wall is considered and dynamics of waves and stability characteristics of thin film flow systems are analyzed. The investigations are based on the derivation of an amplitude equation of Landau-Stuart type for the evolution of waves for isothermal or non-isothermal films valid in the neighborhood of a neutral curve or on the use of modern bifurcation techniques of dynamical systems theory together with direct numerical integration to construct weakly nonlinear permanent waves on Newtonian / viscoelastic films for moderate to high Reynolds numbers and small to moderate surface tension effects. The work also considers the development of a flow of a viscous conducting fluid over a rough spinning disk in the presence of a transverse magnetic field with or without induced air shear effects. The entire work is divided into seven chapters.
Author: Hen-hong Chang
Publisher: Elsevier
ISBN: 0080529534
Category : Technology & Engineering
Languages : en
Pages : 413
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Book Description
Wave evolution on a falling film is a classical hydrodynamic instability whose rich wave dynamics have been carefully recorded in the last fifty years. Such waves are known to profoundly affect the mass and heat transfer of multi-phase industrial units.This book describes the collective effort of both authors and their students in constructing a comprehensive theory to describe the complex wave evolution from nearly harmonic waves at the inlet to complex spatio-temporal patterns involving solitary waves downstream. The mathematical theory represents a significant breakthrough from classical linear stability theories, which can only describe the inlet harmonic waves and also extends classical soliton theory for integrable systems to real solitrary wave dynamics with dissipation. One unique feature of falling-film solitary wave dynamics, which drives much of the spatio-temporal wave evolution, is the irreversible coalescence of such localized wave structures. It represents the first full description of a hydrodynamic instability from inception to developed chaos. This approach should prove useful for other complex hydrodynamic instabilities and would allow industrial engineers to better design their multi-phase apparati by exploiting the deciphered wave dynamics. This publication gives a comprehensive review of all experimental records and existing theories and significantly advances state of the art on the subject and are complimented by complex and attractive graphics from computational fluid mechanics.
Author:
Publisher:
ISBN:
Category : Fluid mechanics
Languages : en
Pages : 568
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Book Description
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 400
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Book Description
