Abstract
This paper reconsiders the Laplace and Korteweg theories of isothermal material interfaces. After rederiving the classical instability results for a large droplet of liquid (vapor) imbedded in a vapor (liquid) we consider the stability of microscopic droplets. On this scale the revised Laplace and Korteweg theories predict critical stability of the droplet.
Sommario
In questo lavoro si riconsiderano le teorie di Laplace e di Korteweg sulle interfacce materiali isoterme. Dopo aver dedotto, con metodi nuovi, i risultati classici d'instabiltà per gocce di grande raggio di liquido (o vapore) immerse nel loro vapore (o liquido), si passa a considerare la stabilità di gocce microscopiche. Su questa scala le teorie di Laplace e di Korteweg, opportunamente riformulate, predicono la stabilità critica delle gocce.
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Gouin, H., Slemrod, M. Stability of spherical isothermal liquid-vapor interfaces. Meccanica 30, 305–319 (1995). https://doi.org/10.1007/BF00987223
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DOI: https://doi.org/10.1007/BF00987223