Passive scalars, moving boundaries, and Newton's law of cooling
Analysis of PDEs
2014-06-03 v1
Abstract
We study the evolution of passive scalars in both rigid and moving slab-like domains, in both horizontally periodic and infinite contexts. The scalar is required to satisfy Robin-type boundary conditions corresponding to Newton's law of cooling, which lead to nontrivial equilibrium configurations. We study the equilibration rate of the passive scalar in terms of the parameters in the boundary condition and the equilibration rates of the background velocity field and moving domain.
Keywords
Cite
@article{arxiv.1406.0471,
title = {Passive scalars, moving boundaries, and Newton's law of cooling},
author = {Juhi Jang and Ian Tice},
journal= {arXiv preprint arXiv:1406.0471},
year = {2014}
}
Comments
27 pages