Gravity waves and Rayleigh Taylor instability on a Jeffrey-fluid |
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Authors: | Arild Saasen O Hassager |
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Institution: | (1) RF-Petroleum, Rogaland Research, Stavanger, Norway;(2) Department of Chemical Engineering, Technical University of Denmark, Lyngby, Denmark;(3) RF-Petroleum, Rogaland Research, Ullandhaug, PO Box 2503, 4004 Stavanger, Norway |
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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. |
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Keywords: | Gravity waves dispersion relation Rayleigh Taylor instability linear viscoelasticity Jeffrey fluid |
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