Capillary Flows with Forming Interfaces

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CRC Press, Sep 14, 2007 - Technology & Engineering - 480 pages
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Capillary Flows with Forming Interfaces explores numerous theoretical problems that arise in the mathematical description of capillary flows. It focuses on developing a unified approach to a variety of seemingly very different capillary flows of practical importance where classical fluid mechanics leads to nonphysical results.

The book begins with a review of the conceptual framework of fluid mechanics and then proceeds to analyze the roots of singularities, such as the moving contact-line problem and the capillary breakup problem. The author then examines how different singular flows can be described as particular cases of a general physical phenomenon of interface formation. He illustrates the developed mathematical models and experimentally verifies them through a number of example problems relevant to engineering applications.

The conceptual framework provided in this reference enables further progress in developing mathematical models of capillary flows.
The book also allows readers to make informed strategic choices regarding available numerical codes and the in-house development of these codes.
 

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Contents

Introduction
1
Fundamentals of fluid mechanics
9
Moving contact lines An overview
97
Boundary conditions on forming interfaces
177
Moving contact lines Mathematical description
221
Cusps corners and coalescence of drops
287
Breakup of jets and rupture of films
341
Elements of vector and tensor calculus
397
Equations of fluid mechanics in curvilinear coordinates
407
Complex representation of biharmonic functions
411
Physical properties of some fluids
413
References
415
Index of Authors
445
Subject Index
453
Copyright

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Page 416 - Bascom, WD, Cottington, RL, and Singleterry, CR (1964), Dynamic surface Phenomena in the spontaneous spreading of oils on solids, in Contact Angle, Wettability and Adhesion, RF Gould, ed., ACS Advances in Chemistry Series No.
Page ix - How wonderful we have met with a paradox, now we have some hope of making progress - Niels Bohr.
Page 420 - Dynamics of inviscid capillary breakup: collapse and pinchoff of a film bridge. J. Fluid Mech. 341, 245-267.
Page 418 - An Experimental Study of Air Entrainment at a Solid/Liquid/Gas Interface", Chem. Eng. Sci. 31, 901-911 (1976). Burley, R. and RPS Jolly, AIChE J. 29, 172-173 (1983). Burley R. and RPS Jolly. "Entrainment of Air Into Liquids by a High Speed Continuous Solid Surface", Chem. Eng. Sci. 39, 1357-1372 (1984).
Page 417 - SHIKHMURZAEV, YD 1999 Experimental evidence of nonlocal hydrodynamic influence on the dynamic contact angle. Phys. Fluids 11, 1995-2007.
Page 418 - The distribution of velocities in a slightly non-uniform gas, Proc.

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