The dynamics of viscous drops in linear creeping flows are investigated near the critical flow strength at which stationary drop shapes cease to exist. It is shown that the near-critical drop behavior is dominated by a single slow mode that evolves on the time scale diverging at the critical point with the exponent 1/2.
Institute for Mathematics and Its Applications>IMA Preprints Series
Blawzdziewicz, Jerzy; Cristini, Vittorio; Loewenberg, Michael.
Critical behavior of drops in linear flows: I. Phenomenological theory for drop dynamics near critical stationary states.
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