E-Book Overview
Free surface problems occur in many aspects of science and of everyday life such as the waves on a beach, bubbles rising in a glass of champagne, melting ice, pouring flows from a container and sails billowing in the wind. Consequently, the effect of surface tension on gravity-capillary flows continues to be a fertile field of research in applied mathematics and engineering. Concentrating on applications arising from fluid dynamics, Vanden-Broeck draws upon his years of experience in the field to address the many challenges involved in attempting to describe such flows mathematically. Whilst careful numerical techniques are implemented to solve the basic equations, an emphasis is placed upon the reader developing a deep understanding of the structure of the resulting solutions. The author also reviews relevant concepts in fluid mechanics to help readers from other scientific fields who are interested in free boundary problems.
E-Book Content
CUUK1062-Vanden
9780521811903
May 28, 2010
12:43
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CUUK1062-Vanden
9780521811903
May 28, 2010
12:43
G R A V I T Y–C A P I L L A R Y F R E E - S U R F A C E F L O W S Free-surface problems occur in many aspects of science and of everyday life, for example in the waves on a beach, bubbles rising in a glass of champagne, melting ice, pouring fl ws from a container and sails billowing in the wind. Consequently, the theory of gravity–capillary free-surface fl ws continues to be a fertile fiel of research in applied mathematics and engineering. Concentrating on applications arising from flui dynamics, Vanden-Broeck draws upon his years of experience in the fiel to address the many challenges involved in attempting to describe such fl ws mathematically. Whilst careful numerical techniques are implemented to solve the basic equations, an emphasis is placed upon the reader developing a deep understanding of the structure of the resulting solutions. The author also reviews relevant concepts in flui mechanics to enable readers from other scientifi field to develop a working knowledge of free-boundary problems.
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CUUK1062-Vanden
9780521811903
May 28, 2010
12:43
OTHER TITLES IN THIS SERIES
All the titles below can be obtained from good booksellers or from Cambridge University Press. For a complete series listing visit http://www.cambridge.org/uk/series/sSeries.asp?code=CMMA Waves and Mean Flows ¨ HLER OLIVER BU Lagrangian Fluid Dynamics ANDREW BENNETT Plasticity SIA NEMAT-NASSER Reciprocity in Elastodynamics JAN D. ACHENBACH Theory and Computation in Hydrodynamic Stability W. O. CRIMINALE, T. L. JACKSON AND R. D. JOSLIN The Physics and Mathematics of Adiabatic Shear Bands T. W. WRIGHT Theory of Solidificatio STEPHEN H. DAVIS The Dynamics of Fluidized Particles ROY JACKSON Turbulent Combustion NORBERT PETERS Acoustics of Fluid–Structure Interactions M. S. HOWE Turbulence, Coherent Structures, Dynamical Systems and Symmetry PHILIP HOLMES, JOHN L. LUMLEY AND GAL BERKOOZ Topographic Effects in Stratifie Flows PETER G. BAINES Ocean Acoustic Tomography WALTER MUNK, PETER WORCESTER AND CARL WUNSCH B´enard Cells and Taylor Vortices E. L. KOSCHMIEDER
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CUUK1062-Vanden
9780521811903
May 28, 2010
12:43
GRAVITY – CAPILLARY FREE-SURFACE FLOWS JEAN-MARC VANDEN-BROECK University College London
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CUUK1062-Vanden
9780521811903
May 28, 2010
12:43
CAMBRIDGE UNIVERSITY PRESS
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo, Delhi, Dubai, Tokyo Cambridge University Press The Edinburgh Building, Cambridge CB2 8RU, UK Published in the United States of America by Cambridge University Press, New York www.cambridge.or