Gravity waves and Rayleigh Taylor instability on a Jeffrey-fluid

Arild Saasen, Ole Hassager

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

A theory for linear surface gravity waves on a semi-infinite layer of viscoelastic fluid described by a Jeffrey model is presented. Results are given for the decay rate and the phase velocity as a function of the parameters of the fluid: a nondimensional time constant, and a ratio of the retardation time to the relaxation time. At small wave numbers the behavior is Newtonian. In other cases depending on the nondimensional parameters, a number of possible other behaviors exist. The influence of the non-dimensional parameters on the growth rate of Rayleigh-Taylor instability is also discussed.
Original languageEnglish
JournalRheologica Acta
Volume30
Issue number4
Pages (from-to)301-306
ISSN0035-4511
DOIs
Publication statusPublished - 1991
Externally publishedYes

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