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In this paper, wave phenomena of an interface of two immiscible fluids circulating between two rotating cylinders were studied experimentally. The inner cylinder was rotating and the outer cylinder was fixed. The working fluids were silicone oil and water solution of glycerin. The development of the interface of the fluids with the Reynolds number was clarified by the visualization technique and the image processing. As the Reynolds number was increased, a ring-shaped hump on the surface was occurred along the outer cylinder. At higher Reynolds numbers, the hump changed to the progressive wave like a swell and traveled in the azimuthal direction. Then the swell became complicated with undulation. The height of the interface was measured using by the image processing and analysis. The surface in the outer area of the annulus was high. The ratio of the height to the length of the annulus was 16% as a maximum value and -8% as a minimum value. The amplitude and the frequency of the oscillation of the interface were measured. The ratio of the amplitude to the length of the annulus was 20% as a maximum value. The frequency of the oscillation of the interface was estimated about 5 Hz from the time-space topological space reconstructed from the height of the surface.

Wave phenomena of an immiscible liquid-liquid interface circulating between rotating cylinders (Effects of the Reynolds number and the aspect ratio)