Viscous fingering in the presence of weak disorder
Soft Condensed Matter
2018-05-18 v1
Abstract
We consider the problem of viscous fingering in the presence of quenched disorder that is both weak and short-range correlated. The two point correlation function of the harmonic measure is calculated perturbatively, and is used in order to calculate the correction the the box-counting fractal dimension. We show that the disorder increases the fractal dimension, and that its effect decreases logarithmically with the size of the fractal.
Keywords
Cite
@article{arxiv.1805.06609,
title = {Viscous fingering in the presence of weak disorder},
author = {Eldad Bettelheim and Oded Agam},
journal= {arXiv preprint arXiv:1805.06609},
year = {2018}
}