On the non-existence of subcritical instabilities in fluid layers heated from below-Reference-Cited by-同舟云学术

On the non-existence of subcritical instabilities in fluid layers heated from below

Published:1964-10 Issue:2 Volume:20 Page:315-319
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Sani R.

Abstract

Using some recent results it is established that, for very general boundary conditions, time-independent subcritical instabilities do not exist for the non-linear thermoconvective stability problem.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference7 articles.

1. Watson, J. 1960 On the nonlinear mechanics of wave disturbances in stable and unstable parallel flows, II.J. Fluid Mech. 9,371–89.

2. Ukhovskii, M. R. & Iudovich, V. I. 1963 On the equations of steady-state convection.Prik. Math. Mek. 27,432–40.

3. Stuart, J. T. 1960 Non-linear effects in hydrodynamic stability.Proc. X-th Int. Congr. Appl. Math. pp.63–97.Stresa,Elsevier.

4. Phillips, H. B. 1933 Vector Analysis .New York:John Wiley.

5. Sani, R. L. & Scriven, L. E. 1964 Convective instability. I. To be submitted toPhys. Fluids.

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