A sunflower oil is reacted with sodium hydroxide. The reacted oil is then separated from the overall system with a tubular bowl centrifuge. The product has a density of 920 kg/m3 and a viscosity of 0.02 kg/m-sec. The reaction mass has a density of 980 kg/m3 and a viscosity of 0.3 kg/m sec. The centrifuge, operating at 18,000 rpm, has a bowl 0.762 m long and a 0.051 m inside diameter. The light-phase radius is 0.0127 m, while the heavy-phase radius is 0.0130 m. Determine the radius of the interface.

A sunflower oil is reacted with sodium hydroxide. The reacted oil is then separated from the overall system with a tubular bowl centrifuge. The product has a density of 920 kg/m3 and a viscosity of 0.02 kg/m-sec. The reaction mass has a density of 980 kg/m3 and a viscosity of 0.3 kg/m sec. The centrifuge, operating at 18,000 rpm, has a bowl 0.762 m long and a 0.051 m inside diameter. The light-phase radius is 0.0127 m, while the heavy-phase radius is 0.0130 m. Determine the radius of the interface.