Free Boundary Problem for Unsteady Slag Flow in the Hearth

摘要

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.