Scaling and self-similarity in an unforced flow of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell

Arkady Vilenkin; Baruch Meerson; Pavel V. Sasorov

doi:10.1103/physrevlett.96.044504

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Scaling and self-similarity in an unforced flow of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell

Arkady Vilenkin·Baruch Meerson·Pavel V. Sasorov

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Abstract

We investigate quasi-two-dimensional relaxation, by surface tension, of a long straight stripe of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell. Combining analytical and numerical solutions, we describe the emergence of a self-similar dumbbell shape and find non-trivial dynamic exponents that characterize scaling behavior of the dumbbell dimensions.

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Arkady Vilenkin, Baruch Meerson, Pavel V. Sasorov. 2005-12-25. Scaling and self-similarity in an unforced flow of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell. https://doi.org/10.1103/physrevlett.96.044504

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