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Stability of dissolving or depositing surfaces
Author(s) -
Thorsness C. B.,
Hanratty Thomas J.
Publication year - 1979
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690250416
Subject(s) - dissolution , dimensionless quantity , deposition (geology) , mechanics , mass transfer , wavelength , instability , turbulence , amplitude , viscosity , schmidt number , flow (mathematics) , chemistry , materials science , thermodynamics , physics , reynolds number , geology , optics , geomorphology , structural basin
In a previous paper, we have examined the variation of the mass transfer rate along a small amplitude wavy surface which is exchanging mass with a turbulently flowing fluid. We now use these results to show that a soluble flat surface is unstable in the presence of a turbulent flow. The wavelength of the most rapidly growing surface disturbance, made dimensionless with respect to the friction velocity and the kinematic viscosity, is found to be a very weak function of the Schmidt number. These results provide a possible explanation for wavelike dissolution patterns observed in caves and on the underside of river ice. The analysis predicts that deposition patterns should be quite different from dissolution patterns in that the most rapidly growing wave for deposition has a length of zero.