Exchange of stabilities for surface tension driven convection

J. S. Vrentas; C. M. Vrentas

doi:10.1016/j.ces.2004.07.004

Exchange of stabilities for surface tension driven convection

J. S. Vrentas, C. M. Vrentas

Chemical Engineering

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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 carded out using the adjoint version of this eigenvalue problem.

Original language	English (US)
Pages (from-to)	4433-4436
Number of pages	4
Journal	Chemical Engineering Science
Volume	59
Issue number	21
DOIs	https://doi.org/10.1016/j.ces.2004.07.004
State	Published - Nov 2004

All Science Journal Classification (ASJC) codes

General Chemistry
General Chemical Engineering
Industrial and Manufacturing Engineering

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10.1016/j.ces.2004.07.004

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title = "Exchange of stabilities for surface tension driven convection",

abstract = "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 carded out using the adjoint version of this eigenvalue problem.",

author = "Vrentas, {J. S.} and Vrentas, {C. M.}",

note = "Funding Information: This study was supported by funds provided by the Dow Chemical Company. ",

year = "2004",

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doi = "10.1016/j.ces.2004.07.004",

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AU - Vrentas, J. S.

AU - Vrentas, C. M.

N1 - Funding Information: This study was supported by funds provided by the Dow Chemical Company.

PY - 2004/11

Y1 - 2004/11

N2 - 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 carded out using the adjoint version of this eigenvalue problem.

AB - 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 carded out using the adjoint version of this eigenvalue problem.

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U2 - 10.1016/j.ces.2004.07.004

DO - 10.1016/j.ces.2004.07.004

M3 - Article

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VL - 59

SP - 4433

EP - 4436

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 21

ER -

Exchange of stabilities for surface tension driven convection

Abstract

All Science Journal Classification (ASJC) codes

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