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Hyperbolic Stefan problem with discontinuous temperature

Technical Report ·
OSTI ID:5706578

In an earlier paper a Stefan problem for hyperbolic heat transfer was formulated under the condition of continuity of the temperature at the moving front. In this paper this assumption is examined and an alternative model is presented in which continuity is not imposed. For this case, a problem with an explicit solution is presented, as are some qualitative properties of solutions to some similar problems. In addition, quasi-steady approximate solutions to certain other benchmark problems are derived. 5 refs.

Research Organization:
Maryland Univ., Baltimore (USA). Dept. of Mathematics; Oak Ridge National Lab., TN (USA)
DOE Contract Number:
AC05-84OR21400
OSTI ID:
5706578
Report Number(s):
ORNL-6216; ON: DE86010069
Country of Publication:
United States
Language:
English