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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