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On the inviscid stability of bi-layer axisymmetric coatings

Published online by Cambridge University Press:  23 May 2008

P. A. BLYTHE  and
P. G. SIMPKINS
P. A. BLYTHE
Affiliation:
Mechanical Engineering & Mechanics, Lehigh University, Bethlehem, PA 18015, USA
P. G. SIMPKINS
Affiliation:
College of Engineering, Syracuse University, Syracuse, NY 13244, USA
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Abstract

This paper is concerned with the stability of fibre coatings at large Reynolds numbers. Both single- and double-layer coatings are considered; no restriction is placed on the coating thicknesses. Calculations for the maximum growth rate, together with the corresponding length scale of the instability, are presented. Rescaling with respect to the maximum growth rate generates universal dispersion relations over the unstable wavenumber range. For double-layer composite coatings, modifications are required when the density ratio becomes large.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 605 , 25 June 2008 , pp. 389 - 400
Copyright
Copyright © Cambridge University Press 2008

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References

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