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

11 July 1972

journal article
research article
Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics

Vol. 54 (1) , 143-152
https://doi.org/10.1017/s0022112072000588

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.

Keywords

This publication has 1 reference indexed in Scilit:

Modulation of Thermal Convection Instability
Physics of Fluids, 1971