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Exact Solution to Stationary Onset of Convection Due to Surface Tension Variation in a Multicomponent Fluid Layer With Interfacial DeformationStationary onset of convection due to surface tension variation in an unbounded multicomponent fluid layer is considered. Surface deformation is included and general flux boundary conditions are imposed on the stratifying agencies (temperature/composition) disturbance equations. Exact solutions are obtained to the general N-component problem for both finite and infinitesimal wavenumbers. Long wavelength instability may coexist with a finite wavelength instability for certain sets of parameter values, often referred to as frontier points. For an impermeable/insulated upper boundary and a permeable/conductive lower boundary, frontier boundaries are computed in the space of Bond number, Bo, versus Crispation number, Cr, over the range 5 x 10(exp -7) less than or equal to Bo less than or equal to 1. The loci of frontier points in (Bo, Cr) space for different values of N, diffusivity ratios, and, Marangoni numbers, collapsed to a single curve in (Bo, D(dimensional variable)Cr) space, where D(dimensional variable) is a Marangoni number weighted diffusivity ratio.
Document ID
19990036002
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Skarda, J. Raymond Lee
(NASA Lewis Research Center Cleveland, OH United States)
McCaughan, Frances E.
(Case Western Reserve Univ. Cleveland, OH United States)
Date Acquired
August 19, 2013
Publication Date
September 24, 1998
Publication Information
Publication: International Journal of Heal and Mass Transfer
Subject Category
Fluid Mechanics And Heat Transfer
Distribution Limits
Public
Copyright
Other

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