An Inverse Stefan Problem Relevant to Boilover: Heat Balance Integral Solutions and Analysis
Mathematical Physics
2010-12-14 v1 math.MP
Abstract
Stefan problems relevant to burning oil-water systems are formulated. Two moving boundary sub-problems are defined: burning liquid surface and formation of a distillation ("hot zone") layer beneath it. The basic model considers a heat transfer equation with internal heat generation due to radiation flux absorbed in the fuel depth. In verse Stefan problem corresponding to the first case solved by the heat balance integral method and dimensionless scaling of semi-analytical solutions are at issue.
Cite
@article{arxiv.1012.2534,
title = {An Inverse Stefan Problem Relevant to Boilover: Heat Balance Integral Solutions and Analysis},
author = {Jordan Hristov},
journal= {arXiv preprint arXiv:1012.2534},
year = {2010}
}
Comments
20 pages, 3 figures, 3 tables