Nonlinear Rayleigh–Taylor instability in an accelerated soap film Nonlinear Rayleigh–Taylor instability in an accelerated soap film

• Published in: Journal of engineering mathematics Vol. 150; no. 1
• Main Authors: Stewart, Peter S., Roy, Alasdair T., Hilgenfeldt, Sascha
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.02.2025; Springer Nature B.V
• Subjects: Applications of Mathematics; Computational Mathematics and Numerical Analysis; Interface stability; Mathematical and Computational Engineering; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial differential equations; Self-similarity; Soap films; Surface tension; Taylor instability; Theoretical and Applied Mechanics; Thin films; Thinning; Wavelengths; Thin films; Nonlinear instability; Rayleigh–Taylor instability

Rupture and fragmentation of thin liquid films are of great importance in manufacturing, agriculture, disease transmission, and other fields. An individual rupture event typically results from the nonlinear growth of small perturbations excited by the classical Rayleigh–Taylor mechanism and opposed...