Computational stability of an initially radial solution of a growth/dissolution problem in a nonradial implementation

We consider a free boundary problem modelling the growth/dissolution of a crystal. The aim is to investigate the following question: Does the solution to the crystal growth problem posed in two dimensions with radially symmetric initial and boundary condition evolve as a radially symmetric solution?

Automatic Secondary Cooling Control for the Continuous Casting Process of Steel

Two simulation models for finding the optimal secondary cooling strategy in continuous casting process are presented. The first one is a two-dimensional off-line model for optimizing steady state casting operation. The second one is a one-dimensional model which can be used for simulating casting operation in real-time during varying casting conditions.

On numerical simulation of the continuous casting process

In this paper a steady-state nonlinear parabolic-type model, which simulates the multiphase heat transfer during solidification in continuous casting, is presented. An enthalpy formulation is used and we apply a FE-method in space and an implicit Euler method in time. A detailed solution algorithm is presented. We compute the temperature distributions in the strand when the boundary conditions (mold/spray cooling) on the strand surface are known. The numerical model gives thereby a good basis for the testing of new designs of continuous-casting machines. An application of the model to continuous casting of billets is presented.

FE-Modelling of Continuous Casting Problem

A mathematical model for simulating the heat transfer during solidification in continuous casting of steel is presented. The heat transfer coefficients along and across the strand are optimized. The evolution and location of thermal stresses are computed. Numerical examples are included.

Monelta kantilta : Ilkka Nummelalle omistettu juhlakirja

Real-time Control of Metallurgic Processes

The careful control of the liquid metal solidification and the solid shell growth is of central importance in all metallurgic processes. These have a considerable influence on the formation of cracks and other defects which can be formed in the cast material. To ensure defect free products, the liquid metal is to be cooled down according to a pattern which depends i.e. on metal grade, product dimension, cooling speed and machine design. On the other hand, the control of the liquid/solid interface is a key element in optimising the liquid solidification with respect to good productivity. So, the heat transfer plays a very important role in metallurgic casting processes, especially when casti…

On the Real-Time Simulation and Control of the Continuous Casting Process

Ll this paper we present a method for controlling in real-time the secondary cooling of the continuous casting machine. The method is based on the heat transfer model, which simulates the temperature distribution of the cast, and on the use of direct digital control (DDC). Off-line simulation results considering the control method is presented.

Real-time simulation and control system for the continuous casting process

In this paper we present a real-time system which is used to simulate the unsteady-state continuous casting process and to control the secondary cooling water sprays. The aim of the control system is to keep the surface temperature of the slab constant with respect to time in spite of casting speed variations, and in this way minimize the formation of cracks in the final product. The simulator calculates the temperature distribution using a mathematical model based on a heat conduction formula with phase changes. The optimal spray water flow rates for each spray cooling zone will be calculated by minimizing the deviation between the target surface temperature and the calculated actual surfa…