An Inverse Stefan Problem Relevant to Boilover: Heat Balance Integral Solutions and Analysis

Details An Inverse Stefan Problem Relevant to Boilover: Heat Balance Integral Solutions and Analysis An Inverse Stefan Problem Relevant to Boilover: Heat Balance Integral Solutions and Analysis

2010-12-12

arxiv.org/abs/1012.2534v1

Thermal Science 11 (2) (2007) 141-160

Physics

Mathematical Physics

20 pages, 3 figures, 3 tables

Scientific paper

10.2298/TSCI0702141H

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.

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