Accession Number : ADA132822

Title :   Free Boundary Problem for Unsteady Slag Flow in the Hearth.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Kawarada,Hideo

PDF Url : ADA132822

Report Date : Aug 1983

Pagination or Media Count : 22

Abstract : Drainage of the hearth is an important component of a successful operation of a blast furnace. In order to investigate the influence of tapping conditions due to the shape of the slag surface, the one-phase flow of slag during tapping was modeled as a free boundary problem. This program was reformulated by using the method of integrated penalty and, then was simulated by using a finite difference method developed by the author. The objective of this report is to give a mathematical justification of the penalty method formulation, in which the perturbation with respect to the domain and the asymptotic properties of solutions of the boundary value problem for an elliptic equation with penalty terms are used.

Descriptors :   *Boundary value problems, *Numerical methods and procedures, *Unsteady flow, *Blast furnaces, Slags, Drainage, High velocity, Perturbation theory, Asymptotic series, Finite difference theory, Convergence, Problem solving

Subject Categories : Numerical Mathematics
      Air Condition, Heating, Lighting & Ventilating
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE