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Influence of viscosity relaxation on the growth rate of the Tonks-Frenkel instability

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Abstract

A numerical analysis of the dispersion equation for the capillary motion of a viscoelastic liquid is used to show that the growth rate of the instability of a charged free liquid surface increases substantially as the characteristic time for the relaxation of viscous stresses and the Tonks-Frenkel parameter increase. This instability is achieved in a bounded range of wave numbers whose width is also determined by the Tonks-Frenkel parameter.

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Pis’ma Zh. Tekh. Fiz. 25, 1–4 (January 26, 1999)

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Shiryaeva, S.O., Grigor’ev, O.A. Influence of viscosity relaxation on the growth rate of the Tonks-Frenkel instability. Tech. Phys. Lett. 25, 41–42 (1999). https://doi.org/10.1134/1.1262348

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  • DOI: https://doi.org/10.1134/1.1262348

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