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- W2062279969 abstract "The method of energy is used to study the stability of transport in a drop which is characterized by an impulsive change in boundary temperature or concentration. Instabilities driven by interfacial-tension gradients are considered for diffusive base states in which a spherical drop is either stagnant or has an internal circulation at high Peclet number. Two stability criteria are considered for the stagnant drop; strong stability, for which an exponential decay of the disturbance energy is guaranteed; and marginal stability, for which the disturbance energy is less than or equal to its initial value. The strong stability criterion is obtained for the circulating drop. In this latter case, properties of the solution to the dynamic equations are used to constrain the class of admissible functions in the energy theory. Stability curves generated in the Marangoni number-time plane clearly show the presence of both an onset time and a decay time for the disturbances. Comparison with limited available experimental data shows that predictions based upon the theory are observed qualitatively." @default.
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- W2062279969 date "1981-04-01" @default.
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- W2062279969 title "Global stability of transient drop extraction to Marangoni instabilities" @default.
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- W2062279969 doi "https://doi.org/10.1063/1.863421" @default.
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