Open AccessOn the criterion for stability of a layer of viscous fluid heated from below
Author(s) -
A. R. Low
Publication year - 1929
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1929.0160
Subject(s) - instability , mechanics , inertia , viscous liquid , physics , taylor number , classical mechanics , plane (geometry) , boundary layer , concentric , rest (music) , mathematics , geometry , acoustics
1. An analogy has been drawn by the present writer between Bénard's problem of the modes of instability of a layer of viscous fluid initially at rest under gravity between horizontal plane boundaries heated below and cooled above, and Prof. G. I. Taylor's problem of the modes of instability of a viscous fluid initially in steady cyclic motion under inertia forces between concentric circular cylinders rotating with constant unequal angular velocities. Rayleigh obtained a solution of Bénard's problem for two boundaries with no tangential forces between boundary and fluid, while in Taylor's problem there are two boundaries with no slip.