By Gerald W. Young (auth.), Robert A. Brown, Stephen H. Davis (eds.)

It is more and more the case that versions of usual phenomena and fabrics processing structures contain viscous flows with unfastened surfaces. those loose obstacles are interfaces of the fluid with both moment immiscible fluids in any other case deformable strong obstacles. The deformation will be because of mechanical displacement or as is the case right here, because of part transformation; the cast can soften or freeze. This quantity highlights a extensive diversity of matters on interfacial phenomena. there's an outline of the mathematical description of viscous free-surface flows, an outline of the present realizing of mathematical concerns that come up in those types and a dialogue of high-order-accuracy boundary-integral tools for the answer of viscous unfastened floor flows. there's the mathematical research of specific flows: long-wave instabilities in viscous-film flows, research of long-wave instabilities resulting in Marangoni convection, and de§ scriptions of the interplay of convection with morphological balance in the course of directional solidification. This ebook is aimed at a person with an curiosity in free-boundary difficulties, from mathematical analysts to fabric scientists; will probably be valuable to utilized mathematicians, physicists, and engineers alike.

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Finite-element models. Finite-element discretizations for free surface flows of the Navier-Stokes equations, are now relatively common. In particular, commercial computer codes are readily available that implement such calculations. In [30], calculations using the FIDAP package [11] are described and the results of those calculations have been compared with our laboratory experiments and with those deriving from the lubrication models. For a range of experiments (of the type described in §2) spanning nearly two orders of magnitude in Reynolds number, viz.

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