Pattern Selection: Nonsingular Saffman-Taylor Finger and its Dynamic Evolution with Zero Surface Tension
Abstract
By a slight modification of Saffman-Taylor's viscous finger, we remove its singularity and present a finite-length nonsingular Saffman-Taylor finger. Its dynamic evolution solutions, both one-step theory prediction and numerical simulation in the long-time limit with zero surface tension, give an alternative proof for the analytical selection demonstration of the Saffman-Taylor finger width in the absence of surface tension. As a simple example of pattern selection, which has real experimental background, this work not only contradicts the generally accepted belief that surface tension is indispensable for the selection of the 1/2 width finger but also provides more models to compute the evolution, competition and ramification of multiple fingers numerically in straight channel as well as circular disc geometry.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2000
- Accession Number
- ADP010919
Entities
People
- Huidan Yu
- Kaihua Zhao
Organizations
- Zhejiang Normal University