Viscous fingering of an emulsion in which silicone oil is dispersed in aqueous polymer solution was investigated in a radial Hele-Shaw cell by the injection of water and the aqueous polymer solution as a function of the injection rate. The pressure imposed at the finger tip was simultaneously monitored. The crack-like fingering patterns are observed at the lower injection rates and they start to grow when the imposed pressure attains the maximum value. An increase in the injection rate causes the pattern transition from the crack pattern to ramified ones. Such a pattern transition is strongly related to rheological properties of the emulsion.
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Kawaguchi et al. (2004) studied this question.