Non-stationary finite amplitude convection

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Abstract
There are stationary solutions of finite amplitude convection in a layer of fluid heated from below which show increasing heat transport with decreasing Rayleigh number in the neighbourhood of its critical value. It is shown that those solutions are unstable and that convection with periodic time dependence can occur in these cases, when the heat flux is the given parameter instead of the temperature difference between the boundaries of the layer. The time dependence has been calculated explicitly for the case of convection with temperature variation of the material properties.

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