Stability of fluid motions (Springer tracts in natural philosophy ; v. 27-28)

Science & Math

Daniel D. Joseph

Mathematics

Springer, Verlag

<p>The study of stability aims at understanding the abrupt changes which are observed in fluid motions as the external parameters are varied. It is a demanding study, far from full grown"whose most interesting conclusions are recent. I have written a detailed account of those parts of the recent theory which I regard as established. Acknowledgements I started writing this book in 1967 at the invitation of Clifford Truesdell. It was to be a short work on the energy theory of stability and if I had stuck to that I would have finished the writing many years ago. The theory of stability has developed so rapidly since 1967 that the book I might then have written would now have a much too limited scope. I am grateful to Truesdell, not so much for the invitation to spend endless hours of writing and erasing, but for the generous way he has supported my efforts and encouraged me to higher standards of good work. I have tried to follow Truesdell's advice to write this work in a clear and uncomplicated style. This is not easy advice for a former sociologist to follow; if I have failed it is not due to a lack of urging by him or trying by me. My research during the years 1969-1970 was supported in part by a grant from the Guggenheim foundation to study in London.</p>

Stability of Fluid Motions I (Springer Tracts in Natural Philosophy)

Physics

Springer

Fundamentals of Two Fluid Dynamics (Interdisciplinary Applied Mathematics) (Pt. 2)

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Two-fluid dynamics is a challenging subject rich in interdisciplinary science. Reporting from the forefront of research in this area, these volumes combine scientific, engineering, and technological results in a sound mathematical framework. The analytical techniques used throughout the books are rigorously derived in Part I, Mathematic Theory and Applications, making the books appropriate for graduate study. Rotating flows of two liquids, the two-layer Bernard problem, and plane channel flows are also thoroughly covered. In Part II, Lubricated Transport, Drops and Miscible Liquids, an extensive discussion of lubricated pipelining is given with the serious intention of advancing the technology. Core-annular flow, vortex rings in free fall, two-fluids with phase change, and miscible liquids are some of the topics presented in detail. Photographs, figures, graphs, and tables augment continuous comparison of theory and observations. These volumes are bound to become a standard source in a field which is attracting much scientific and industrial interest.

Fundamentals of two-fluid dynamics (Interdisciplinary applied mathematics)

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