Abstract
The discrete analog of diff erential equation of heat conduction allowing applying irregular computational net for the mathematical modeling of continuous casting was proposed. This method of meshing allows taking into account the distribution of temperature gradients in the model. It improves accuracy of the approximation and adequacy of the computation results. The mathematical model of crystallization and shrinkage of slab in CCM mold was developed. Application of irre gular computational net allowed using the elements of size of 1 – 2 mm in modeling. The researches of slab cross-section profi le distortion under the influence of the mold were conducted on the basis of this model. Calculation of the geometrical profi le allows to specify the conditions of the thermal and mechanical interaction of the solidified shell with the mold walls and to solve the task of determination of optimal mold taper of CCM, ensuring reduction in number of slabs aff ected by surface and subsurface cracks.
Highlights
The discrete analog of differential equation of heat conduction allowing applying irregular computational net for the mathematical modeling of continuous casting was proposed. This method of meshing allows taking into account the distribution of temperature gradients in the model
Application of irregular computational net allowed using the elements of size of 1 – 2 mm in modeling
The researches of slab cross-section profile distortion under the influence of the mold were conducted on the basis of this model
Summary
Расчет геометрического профиля позволяет уточнить условия теплового и механического взаимодействия затвердевающей корочки со стенками кристаллизатора и решить задачу на определение величин рациональной конусности кристаллизаторов МНЛЗ, обеспечивающих уменьшение пораженности заготовок поверхностными и подповерхностными трещинами. Цель настоящего исследования – разработка конечно-разностной математической модели затвердевания и усадки слябовой заготовки в кристаллизаторе МНЛЗ, использующей неравномерную расчетную сетку, для повышения точности и скорости расчетов теплового и геометрического профилей НЛС. Основным требованием к построению сетки для МКР является то, что узловые точки должны лежать на пересечениях линий, параллельных координатным осям, при этом варьируется только расстояние между этими линиями.
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