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On mass transport induced by interfacial oscillations at a single frequency

Published online by Cambridge University Press:  24 October 2008

B. D. Dore
B. D. Dore
Affiliation:
Department of Mathematics, University of Reading
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Abstract

The to method of matched asymptotic expansions is employed to calculate the mass tre sport velocity due to combinations of small amplitude oscillatory waves propagatir, at a single frequency in fluid systems with density and viscosity dis-continuities. Interfacial boundary layers are considered in terms of the curvilinear coordinate system described by Longuet-Higgins(1). The order of magnitude of the mass transport velocity calculated for a general oscillatory disturbance is the same as that calculated for interfacial progressive waves by Dore(2). For standing waves, the time-averaged motion of the fluid particles forms a cellular structure in each fluid layer; the mass transport velocity due to modal interactions is associated with a similar structure.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 74 , Issue 2 , September 1973 , pp. 333 - 347
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

REFERENCES

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