Abstract
The instability of a self-gravitating fluid layer of finite thickness surrounded by another fluid of different density has been studied recently by Uberoi (1963) and Tassoul (1967)� under varying conditions. Now the condition can arise when the fluid inside the layer and the surrounding material are in relative horizontal motion. It is interesting to study the combined effects of the Kelvin-Helmholtz (KH) instability associated with short wavelengths and the gravitational instability associated with long wavelengths on this layer.
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