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Stability of a layer of dipolar fluid heated from below
Author(s) -
Straughan B.,
Payne L. E.
Publication year - 1987
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670090104
Subject(s) - instability , mathematics , boundary layer , nonlinear system , stability (learning theory) , convection , mathematical analysis , boundary (topology) , rayleigh number , linear stability , convective boundary layer , mechanics , natural convection , physics , quantum mechanics , machine learning , computer science , planetary boundary layer
The equations of Bleustein and Green [2] are formulated in a way suitable to describe the convective instability which occurs when a layer of dipolar fluid is heated from below. The linear instability boundary is shown to coincide with the nonlinear stability curve and the critical Rayleigh numbers describing this boundary are found; in particular, the non‐dimensional micro‐length is found to always stabilize.