Title: Instability of Liquid Surfaces and the Formation of Drops, Vol 2 A Refined Theory Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 1332090281
ISBN 13: 9781332090280
Binding: PAP
Condition: New
Weight: 433 grams

About this title

Synopsis

Explore how thin liquid sheets become unstable and break into filaments or drops. This refined treatment blends theory and calculation to show how small disturbances evolve, slow down or speed up deformation, and shape the final breakup patterns.

This work frames a free boundary problem for a liquid layer, derives the governing equations, and develops a formal method to approximate solutions. It focuses on one- and two-dimensional profiles, analyzes stability, and discusses how thickness, surface tension, and initial disturbances influence the breakup into filaments or drops. The results connect linear instability ideas with nonlinear evolution, offering explicit expressions up to several orders in a small parameter.

How instability theory predicts when a sheet will break into filaments and how many filaments may form per wavelength

A method to express the evolving sheet profile using Fourier expansion and successive approximations

Conditions under which nonlinear effects slow deformation compared to linear predictions

Different outcomes for various thickness, surface tension, and disturbance amplitudes

Ideal for readers of advanced fluid dynamics, applied mathematics, and physics who want a rigorous, numbers-driven view of surface instability and drop formation.

"About this title" may belong to another edition of this title.

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