Perturbation Analysis Method Of Descending Dimension On Blast Furnace Hearth Erosion

Blast furnace hearth furnace lining erosion is affecting an important factor of production safety. After serving blast every year to spend huge financial and material resources for the maintenance of its. Since hearth hot metal directly in contact with the high temperature, erosion is inevitable. With the growth of service time, blast furnace hearth erosion will become increasingly serious, which need to grasp the situation of blast furnace hearth erosion. Over the past years, ironmaking technology sector to carry out monitoring of erosion of state theory and technology research, use of thermal measurement parameters to establish a theory of heat transfer based mathematical model to analyze the lining erosion.Using the heat transfer theory, a mathematical model, and then to analyze the computer calculations to determine the blast erosion topography, erosion of the state is the main monitoring measures. Since hearth erosion is diversity, erosion topography is complex, erosion hearth also destroyed the original symmetry of the structure, which increases the complexity of the solution. In the numerical solution of inverse problems, the calculation of the amount to be calculated erosion lot of positive changes in the boundaries of the problem. In the numerical solution of inverse problems, the calculated amount of erosion, to calculate the number of positive changes in the boundary problem.Perturbation dimensionality reduction method is reduced to Low-dimensional problems of high-dimensional problem, the erosion of the boundary changes into a fixed boundary. This method is the erosion of the blast furnace hearth simplified axisymmetric model, using eigenfunction expansion method to the problem into low-dimensional problem solving. This put the blast furnace hearth problem of solving the two-dimensional cross-section into a one-dimensional axisymmetric problems. This approach reduces the computational difficulty of its relatively high computational efficiency.This thesis is based on the theory of perturbation theory dimensionality reduction method and uses quasi-Newton method for optimization problems.In this thesis, programming software is MATLAB. In order to optimize the problem, the user interface is prepared for the convenience of the actual operation. According to the actual situation, calculate the thermal parameters of different furnace and hearth erosion. Through a large number of instances of calculation, this method is a method of calculating high precision and high efficiency. When calculating the amount of calculation is large, the accuracy of this method is not high. The principle of using the boundary shift method, perturbation method and the one-dimensional dimensionality reduction Combination. In order to play to its strengths, to amend it. Its amendments, it is possible to calculate the amount of any erosion. To reflect the erosion, the paper also fitted erosion curve. This curve can portrayal erosion topography. This enables hearth erosion visualization.