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Title: Numerical solution of a gasification problem. Technical summary report

Abstract

A problem of gasification and heating of a solid due to the action of an external energy source is discussed. The problem involves a moving boundary when the solid gasifies. At parts of the boundary where gasification is taking place, a model problem looks very much like the one-phase Stefan problem with an energy source at the moving boundary. However, any gas produced is assumed to blow away immediately, and there is no conduction to the solid from the outside, even when the surface temperature of the solid is below the gasification temperature. Accordingly, if the temperature is extended to a function defined over all space by setting it equal to the gasification temperature outside, the temperature will not necessarily be continuous at the boundary, and instead a Neumann condition may be satisfied there. Also, no resolidification is possible, so that the region occupied by the solid cannot increase. Thus, one has the possibility of a situation in which the boundary may alternately move and be stationary. A generalized formulation of the problem is given, a numerical algorithm is described, and computational results are presented.

Authors:
Publication Date:
Research Org.:
Wisconsin Univ., Madison (USA). Mathematics Research Center
OSTI Identifier:
5784455
Report Number(s):
AD-A-100559/4
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
01 COAL, LIGNITE, AND PEAT; GASIFICATION; SOLIDS; ABLATION; ALGORITHMS; BOUNDARY-VALUE PROBLEMS; ENERGY SOURCES; HEATING; MATHEMATICAL MODELS; SURFACES; THERMODYNAMICS; MATHEMATICAL LOGIC; THERMOCHEMICAL PROCESSES; 010404* - Coal, Lignite, & Peat- Gasification

Citation Formats

Rogers, J C.W. Numerical solution of a gasification problem. Technical summary report. United States: N. p., 1981. Web.
Rogers, J C.W. Numerical solution of a gasification problem. Technical summary report. United States.
Rogers, J C.W. 1981. "Numerical solution of a gasification problem. Technical summary report". United States.
@article{osti_5784455,
title = {Numerical solution of a gasification problem. Technical summary report},
author = {Rogers, J C.W.},
abstractNote = {A problem of gasification and heating of a solid due to the action of an external energy source is discussed. The problem involves a moving boundary when the solid gasifies. At parts of the boundary where gasification is taking place, a model problem looks very much like the one-phase Stefan problem with an energy source at the moving boundary. However, any gas produced is assumed to blow away immediately, and there is no conduction to the solid from the outside, even when the surface temperature of the solid is below the gasification temperature. Accordingly, if the temperature is extended to a function defined over all space by setting it equal to the gasification temperature outside, the temperature will not necessarily be continuous at the boundary, and instead a Neumann condition may be satisfied there. Also, no resolidification is possible, so that the region occupied by the solid cannot increase. Thus, one has the possibility of a situation in which the boundary may alternately move and be stationary. A generalized formulation of the problem is given, a numerical algorithm is described, and computational results are presented.},
doi = {},
url = {https://www.osti.gov/biblio/5784455}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri May 01 00:00:00 EDT 1981},
month = {Fri May 01 00:00:00 EDT 1981}
}

Technical Report:
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