Instability of unsteady flows or configurations. Part 2. Convective instability-Reference-Cited by-同舟云学术

Instability of unsteady flows or configurations. Part 2. Convective instability

Published:1972-07-11 Issue:1 Volume:54 Page:143-152
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Yih Chia-Shun,Li Chin-Hsiu

Abstract

The formation of convective cells in a fluid between two horizontal rigid boundaries with time-periodic temperature distribution is studied by the use of the Floquet theory. Numerical results for the critical Rayleigh number are given for a Prandtl number of 0·73 (air) and for various values of the frequency and magnitude of the primary temperature oscillation. Some numerical results for a Prandtl number of 7·0 (water) are also given. The most striking feature of the results is that the disturbances (or convection cells) oscillate either synchronously or with half frequency.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference13 articles.

1. Rosenblat, S. & Herbert, D. M. 1970 Low-frequency modulation of thermal instability J. Fluid Mech. 43,385–398.

2. Gresho, P. M. & Sani, R. L. 1970 The effects of gravity modulation on the stability of a heated layer J. Fluid Mech. 40,783–806.

3. Rosenblat, S. 1968 Centrifugal instability of time-dependent flows. Part 1. Inviscid periodic flows J. Fluid Mech. 33,321–336.

4. Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability .Oxford University Press.

5. Chandrasekhar, S. 1954 The stability of viscous flow between rotating cylinders Mathematika,1,5–13.

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