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Gravity-capillary flows, in which the effects of pipe flow, gravity flow, and surface tension combine to produce a singular flow pattern, are utilised in many practical applications. 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, Professor Vanden-Broeck's volume draws from his own results, collected from years of experience in the subject, and places this knowledge within the context of recent developments in this latest addition to the Cambridge Monographs in Mechanics series. Whilst careful numerical techniques are implemented, an emphasis is placed upon the reader developing a deep understanding of the structure of the resulting solutions. Surface flows are treated for cases where there may, or may not, exist intersections between the flow and rigid bodies; other examples include free bubbles rising in a fluid and solitary waves.
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Table of Contents

Preface; 1. Introduction; 2. Basic concepts; 3. Free surface flows which intersect walls; 4. Linear free surface flows generated by moving disturbances; 5. Nonlinear waves (asymptotic solutions); 6. Numerical computations of nonlinear water waves; 7. Nonlinear free surface flows generated by moving disturbances; 8. Free surface flows with waves and intersections with rigid walls; 9. Waves with constant vorticity; 10. Three-dimensional free surface flows; 11. Time dependent free surface flows; Epilogue; References; Index.

About the Author

Jean-Marc Vanden-Broeck is a Professor in the School of Mathematics, University of East Anglia

Reviews

'There is no doubt that this volume would determine fruitful directions for future advanced study and research. So, this is an outstanding contribution of the author who spent a considerable amount of time and energy to write such a useful monograph.' Zentralblatt MATH

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