The disclosure relates to a separation process. An aerated inlet mixture of fluid and solids is fed to a flotation separation vessel and is separated into an upper float layer and a lower clarified layer. The upper float layer is withdrawn from the vessel when the height of the upper float layer exceeds the height of an overflow conduit and forms a concentrated solids effluent. The lower clarified layer is withdrawn from the separation vessel as a clarified fluid effluent. The separation process is performed continuously using a control process that maintains a relatively stable distribution between the lower clarified layer and the upper float layer. The control process is a closed loop process that monitors the instantaneous height of the vessel contents and computes an error function based on the instantaneous height and a set-point height. The error function is used to periodically adjust the outlet flowrate of the clarified fluid effluent. The resulting process has improved stability (e.g., being continuously operable without interruption and/or operable for extended periods between intermittent cleaning processes) and provides a concentrated solids effluent with solids concentrations higher than those previously attainable in similar separation processes.