Wave evolution on a falling film is a classical hydrodynamic
instability whose rich wave dynamics have been carefully recorded
in the last fifty years. Such waves are known to profoundly affect
the mass and heat transfer of multi-phase industrial units.
This book describes the collective effort of both authors and their
students in constructing a comprehensive theory to describe the
complex wave evolution from nearly harmonic waves at the inlet to
complex spatio-temporal patterns involving solitary waves
downstream. The mathematical theory represents a significant
breakthrough from classical linear stability theories, which can
only describe the inlet harmonic waves and also extends classical
soliton theory for integrable systems to real solitrary wave
dynamics with dissipation. One unique feature of falling-film
solitary wave dynamics, which drives much of the spatio-temporal
wave evolution, is the irreversible coalescence of such localized
wave structures. It represents the first full description of a
hydrodynamic instability from inception to developed chaos. This
approach should prove useful for other complex hydrodynamic
instabilities and would allow industrial engineers to better design
their multi-phase apparati by exploiting the deciphered wave
dynamics. This publication gives a comprehensive review of all
experimental records and existing theories and significantly
advances state of the art on the subject and are complimented by
complex and attractive graphics from computational fluid
mechanics.
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