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

PDF Url : ADA113884

Report Date : Jan 1982

Pagination or Media Count : 33

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