Instability of Liquid Surfaces and the Formation of Drops, Vol. 2: A Refined Theory (Classic Reprint) - Hardcover

Ignace I. Kolodner

Hardcover

ISBN 10: 048384893X ISBN 13: 9780483848931

Publisher: Forgotten Books, 2018

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.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 048384893X
• ISBN 13: 9780483848931
• Binding: Hardcover
• Number of pages: 84