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Marangoni Convection In Liquid Films With A Deformable Open Surface

J. Castillo, M. Velarde
Published 1985 · Chemistry

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Abstract For a liquid film with an open deformable surface like a tear film, sufficient conditions are given for the onset of Marangoni convection when there is simultaneous heat and mass transport across the layer. It is shown that although temperature gradients in the film may not be responsible for convection they may, however, contribute to a drastic lowering of the solute (mucin) gradients needed for the instability. The convective threshold values are also given in terms of a capillary number, i.e., in terms of the deformation of the open surface. Our theoretical predictions are expected to be useful in fields ranging from dacriology to crystal growth and metal-semiconductor physical chemistry.
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