Experimental investigation of the onset of instability in a radial Hele-Shaw cell

L. M. Martyushev, A. I. Birzina, M. S. Konovalov, and A. P. Sergeev

Phys. Rev. E 80, 066306 – Published 10 December 2009

Abstract

The initial stage of interface instability upon radial displacement of a fluid in a Hele-Shaw cell is investigated. An air-silicone oil system is analyzed. The critical radii of stability relative to long-wave perturbations are determined. It is found that, in the investigated range of parameters, instability most often begins by a translational mechanism. It is ascertained that in the overwhelming majority of cases the critical radii of instability are smaller than the values predicted by the linear stability theory and external effects make this difference even greater. The obtained results are discussed and compared with the existing theories.