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We study both experimentally and theoretically the descending motion due togravity of a fluid drop surrounded by another immiscible fluid in a confinedspace between two parallel plates, i.e., in the Hele-Shaw cell. As a result, weshow a new scaling regime of a nonlinear drag friction in viscous liquid thatreplaces the well-known Stokes' drag friction through a clear collapse ofexperimental data thanks to the scaling law. In the novel regime, thedissipation in the liquid thin film formed between the drop and cell wallsgoverns the dynamics. The crossover of this scaling regime to another scalingregime in which the dissipation inside the droplet is dominant is clearlydemonstrated and a phase diagram separating these scaling regimes is presented.

Scaling crossover in thin-film drag dynamics of fluid drops in the Hele-Shaw cell