Study And Application Of Solidification And Heat Transfer Mathematical Model For Continuous Casting Slab

Heat-transfer in solidification process of continuous casting slab is the transferring process of heat of molten steel from solidifying front to outside of the slab by converting, conducting, radiating and their hybrid, which happens in the mould, secondary cooling zone and radiation air-cooling zone of the caster. Solidifying heat-transfer in molten steel influences quality of continuous casting slab and production efficiency of caster. Thus, with computer numerical simulation technology and experiment technology, investigation of solidifying heat-transfer of continuous casting slab and quantitatively analyzing of heat-transfer in the process of continuous casting is very important to control and improve quality of slab and implementation of dynamic production control.In this thesis, a solidifying heat-transfer software of casting slab is designed based on solidifying heat-transfer of slab caster No.2 in Vanadium-extracting and Steel-making Plant of Panzhihua Iron and Steel Corporation (PISCO). A one-dimension real-time control model with fast computing speed and two-dimension slice trace model with high accuracy are set up by analyzing the process of solidifying heat-transfer. The both models can simulate the distribution and variation of temperature in slab and calculate relative parameters such as position of liquid phase and liquid-solid phase of casting slab, thickness of casting slab crust and position of solidifying ending. Thus, the models provide supports for secondary cooling control and process adjustment.Solidifying heat-transfer model of casting slab consists of one-dimension real-time control heat-transfer model along the thickness direction of casting slab and two-dimension slice trace model along the width and thickness directions of casting slab. Stability and accuracy of different finite difference algorithm are used to solve solidifying heat-transfer differential equation, hybrid implicit difference algorithm (C-N algorithm) is used as kernel algorithm for building a one-dimension real-time control heat-transfer model. At the same time, due to the advantages of alternative difference implicit algorithm (ADI algorithm) on the stability of equation and the precision of calculation, ADI algorithm is used as kernel algorithm to building two-dimension slice trace model which simulate heat-transfer along the width and thickness directions of casting slab. Furthermore, TDMA algorithm is utilized to solve numerical problem of real-time control heat-transfer model and slice trace model.Based on Windows, Interface design of solidifying heat-transfer software of casting...