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ISSN Online: 2377-424X

International Heat Transfer Conference 5
September, 3-7, 1974, Tokyo, Japan

ONSET OF DOUBLE-DIFFUSIVE INSTABILITY IN A SALINITY GRADIENT DUE TO LATERAL HEATING

Get access (open in a dialog) DOI: 10.1615/IHTC5.3160
pages 178-182

Abstract

We consider the problem of a linearly stratified salt solution contained between two infinite vertical plates. The fluid and the plates are initially at the same temperature. At t=O, one of the plates is given a step increase in temperature, while the other is maintained at the initial temperature. The stability of such a time-dependent flow is analyzed using an initial value problem approach to the linear stability equations. The critical wavelength and the critical Rayleigh number compare favorably with those obtained previously in both physical and numerical experiments. The time when the perturbation kinetic energy reaches a thousandfold growth is comparable to the time when cellular motion is first observed.