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Fundamentals of Two-Fluid Dynamics - Part II: Lubricated Transport, Drops and Miscible Liquids (Paperback, Softcover reprint of the original 1st ed. 1993)
Loot Price: R1,640
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Fundamentals of Two-Fluid Dynamics - Part II: Lubricated Transport, Drops and Miscible Liquids (Paperback, Softcover reprint of the original 1st ed. 1993)
Series: Interdisciplinary Applied Mathematics, 4
Expected to ship within 10 - 15 working days
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Two-fluid dynamics is a challenging subject rich in physics and
prac tical applications. Many of the most interesting problems are
tied to the loss of stability which is realized in preferential
positioning and shaping of the interface, so that interfacial
stability is a major player in this drama. Typically, solutions of
equations governing the dynamics of two fluids are not uniquely
determined by the boundary data and different configurations of
flow are compatible with the same data. This is one reason why
stability studies are important; we need to know which of the
possible solutions are stable to predict what might be observed.
When we started our studies in the early 1980's, it was not at all
evident that stability theory could actu ally work in the hostile
environment of pervasive nonuniqueness. We were pleasantly
surprised, even astounded, by the extent to which it does work.
There are many simple solutions, called basic flows, which are
never stable, but we may always compute growth rates and determine
the wavelength and frequency of the unstable mode which grows the
fastest. This proce dure appears to work well even in deeply
nonlinear regimes where linear theory is not strictly valid, just
as Lord Rayleigh showed long ago in his calculation of the size of
drops resulting from capillary-induced pinch-off of an inviscid
jet.
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