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A note on surface film driven convection

Published online by Cambridge University Press:  18 May 2009

Brian Straughan
Brian Straughan
Affiliation:
Department of Mathematics, University Gardens, Glasgow G12 8QW, Scotland
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In [6] McTaggart presented a nonlinear energy stability analysis of the problem of convection in the presence of a surface film overlying a non-shallow layer of fluid heated from below. In her work the film is regarded as a two-dimensional continuum and surface tension is then introduced naturally as a combination of a surface density and the derivative of a surface free energy. In fact, the model originated with work of Landau and Lifschitz [4] on the effect of adsorbed films on the motion of a liquid. The precise model she uses was developed from a continuum thermodynamic viewpoint by Lindsay and Straughan [5].

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 33 , Issue 2 , May 1991, pp. 155 - 158
Copyright
Copyright © Glasgow Mathematical Journal Trust 1991

References

REFERENCES

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