2001/02/22 by Viatcheslav Berejnov, V. Berejnov, Olga M. Lavrenteva +5
Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Heat Transfer #Micro and Nano Robotics #Microfluidic and Bio-sensing Technologies #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.physics/0102072
23 pages, 15 JPEG figures
arxiv created 2001/02/22 · openalex publication_date 2001/02/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The axisymmetric deformation and motion of interacting droplets in an imposed temperature gradient is considered using boundary-integral techniques for slow viscous motion. Results showing temporal drop motion, deformations and separation are presented for equal-viscosity fluids. The focus is on cases when the drops are of equal radii or when the smaller drop trails behind the larger drop. For equal-size drops, our analysis shows that the motion of a leading drop is retarded while the motion of the trailing one is enchanced compared to the undeformable case. The distance between the centers of equal-sized deformable drops decreases with time. When a small drop follows a large one, two patterns of behavior may exist. For moderate or large initial separation the drops separate. However, if the initial separation is small there is a transient period in which the separation distance initially decreases and only afterwards the drops separate. This behavior stems from the multiple time scales that exist in the system.