Effect of gravity on stable Saffman-Taylor fingers

Efim Brener, Marc Rabaud, and Henry Thomé
Phys. Rev. E 48, 1066 – Published 1 August 1993
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Abstract

A theoretical and experimental study of transverse gravity effects is presented for stable Saffman-Taylor fingers propagating in a linear tilted cell. In the high-velocity limit, the experimental results are compared 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 nearer to the upper lateral boundary. In the limit of low velocities, a theory for the gravity effect is presented and its predictions are experimentally checked.

  • Received 26 March 1993

DOI:https://doi.org/10.1103/PhysRevE.48.1066

©1993 American Physical Society

Authors & Affiliations

Efim Brener, Marc Rabaud, and Henry Thomé

  • Laboratoire de Physique Statistique de L’Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France

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Issue

Vol. 48, Iss. 2 — August 1993

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