Formation and Pinch-off of Viscous Droplets in the Absence of Surface Tension: an Exact Result
Mark Mineev-Weinstein, Gary D. Doolen, John E. Pearson, Silvina Ponce Dawson
Abstract
Within a class of exact time-dependent non-singular N-logarithmic solutions (Mineev-Weinstein and Dawson, Phys. Rev. E 50, R24 (1994); Dawson and Mineev-Weinstein, Phys. Rev. E 57, 3063 (1998)), we have found solutions which describe the development and pinching off of viscous droplets in the Hele-Shaw cell in the absence of surface tension.