Analysis of the self-similar spreading of power law fluids
Mathematical Physics
2007-05-23 v1 Analysis of PDEs
math.MP
Abstract
We consider the equation that models the spreading of thin liquid films of power-law rheology. In particular, we analyze the existence and uniqueness of source-type self-similar solutions in planar and circular symmetries. We find that for shear-thinning fluids there exist a family of such solutions representing both finite and zero contact angle drops and that the solutions with zero contact angle are unique. We also prove the existence of traveling waves in one space dimension and classify them.
Keywords
Cite
@article{arxiv.math-ph/0306073,
title = {Analysis of the self-similar spreading of power law fluids},
author = {D. G. Aronson and S. I. Betelu and M. A. Fontelos and A. Sanchez},
journal= {arXiv preprint arXiv:math-ph/0306073},
year = {2007}
}
Comments
18 pages, 1 Postscript figures