Exchange of stabilities for surface tension driven convection

An analytical proof is presented showing that the marginal or neutral state for surface-tension-driven convection in infinite liquid layers is stationary so that the principle of exchange of stabilities is valid. The method of Green's functions is used to reduce the eigenvalue problem to a sing...

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Veröffentlicht in:	Chemical engineering science 2004-11, Vol.59 (21), p.4433-4436
Hauptverfasser:	Vrentas, J.S., Vrentas, C.M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of mathematics to chemical engineering. Modeling. Simulation. Optimization Applied sciences Chemical engineering Convective transport Exact sciences and technology Fluid mechanics Interface Stability Surface tension gradients Transport processes
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Beschreibung
Zusammenfassung:	An analytical proof is presented showing that the marginal or neutral state for surface-tension-driven convection in infinite liquid layers is stationary so that the principle of exchange of stabilities is valid. The method of Green's functions is used to reduce the eigenvalue problem to a single differential equation with an integral boundary condition. The proof is carried out using the adjoint version of this eigenvalue problem.
ISSN:	0009-2509 1873-4405
DOI:	10.1016/j.ces.2004.07.004