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Asymptotic Analysis and Stability of Inviscid Liquid Sheets

โœ Scribed by J.I. Ramos

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
135 KB
Volume
250
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

Asymptotic methods are employed to determine the leading-order equations that govern the fluid dynamics of slender, and thin and slender, inviscid, irrotational, planar liquid sheets subject to pressure differences and gravity. Two flow regimes have been identified depending on the Weber number, and analytical solutions to the steady state equations are provided. Linear stability studies indicate that the sinuous mode corresponds to Weber numbers on the order of unity, while the varicose mode is associated with small Weber numbers. For small Weber numbers, the nonlinear stability of liquid sheets is determined analytically in terms of elliptic integrals of the first and second kinds. It is also shown that the sinuous mode of thin and slender liquid sheets is identical to the same mode for slender sheets.

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