E. Brener et al., EFFECT OF GRAVITY ON STABLE SAFFMAN-TAYLOR FINGERS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(2), 1993, pp. 1066-1072
A theoretical and experimental study of transverse gravity effects is
presented for stable Saffman-Taylor fingers propagating in a linear ti
lted cell. In the high-velocity limit, the experimental results are co
mpared to the theoretical work of Brener, Levine, and Tu [Phys. Fluids
A 3, 529 (1991)]. As predicted, when the tilt angle is increased, the
finger becomes narrower and more asymmetrical as it becomes located n
earer to the upper lateral boundary. In the limit of low velocities, a
theory for the gravity effect is presented and its predictions are ex
perimentally checked.