Abstract
We study numerically the linear stability theory of a fluid bounded above by a free deformable surface and below by a rigid or free plane surface. Oscillatory instabilities are found which do not exist when surface deformation is neglected. Analytical results are given for a long wavelength oscillatory instability which we identify as gravity waves.
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References
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Oxford, Clarendon Press 1961.
R. D. Benguria & M. C. Depassier, Phys. Fluids 30, 1678 (1987).
R. D. Benguria & M. C. Depassier, to appear in Phys. Fluids.
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© 1989 Kluwer Academic Publishers
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Benguria, R.D., Depassier, M.C. (1989). Oscillatory Instabilities in Benard-Marangoni Convection in a Fluid Bounded above by a Free Surface. In: Tirapegui, E., Villarroel, D. (eds) Instabilities and Nonequilibrium Structures II. Mathematics and Its Applications, vol 50. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2305-8_17
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DOI: https://doi.org/10.1007/978-94-009-2305-8_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7535-0
Online ISBN: 978-94-009-2305-8
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