Accession Number:

ADA113884

Title:

On the Steady-State Continuous Casting Stefan Problem with Non-Linear Cooling.

Descriptive Note:

Interim rept.,

Corporate Author:

BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s):

• Chipot,Michel
• Rodrigues,Jose-Francisco

Report Date:

1982-01-01

Pagination or Media Count:

33.0

Abstract:

A steady-state one phase Stefan problem corresponding to the solidification process of an ingot of pure metal by continuous casting with a non-linear lateral cooling is considered via the weak formulation introduced in BKS for the dam problem. Two existence results are obtained for a general non-linear flux and for a maximal monotone flux. Comparison results and the regularity of the free boundary are discussed. An uniqueness theorem is given for the monotone case. Author

Descriptors:

• *Casting
• *Mathematical models
• Continuous processing
• Solidification
• Cooling
• Steady state
• Phase transformations
• Boundaries

Subject Categories:

• Properties of Metals and Alloys

Distribution Statement:

APPROVED FOR PUBLIC RELEASE