金属学报  1987, Vol. 23 Issue (1): 82-85

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脱碳动力学的随机数学模型

曲英;秦明达;杜才难

北京钢铁学院;北京钢铁学院;北京钢铁学院

A STOCHASTIC MATHEMATICAL MODEL OF DECARBONIZATION KINETICS

QU Ying QIN Mingda DU Cainan (Beijing University of Iron and Steel Technology)

曲英;秦明达;杜才难. 脱碳动力学的随机数学模型[J]. 金属学报, 1987, 23(1): 82-85.
, , . A STOCHASTIC MATHEMATICAL MODEL OF DECARBONIZATION KINETICS[J]. Acta Metall Sin, 1987, 23(1): 82-85.

摘要 参考文献 相关文章 Metrics 全文: PDF(307 KB)   摘要: <正> 钢液含碳量低于临界值[C]_0时,脱碳反应速率由碳的传递所控制,这已为脱碳动力学理论和实验所证实.其数学表达式是下述确定性微分方程式(1)广泛应用于控制低碳区脱碳过程.但生产中有众多随机因素的干扰,如供氧条件的波动、喷溅及渣中乳化态的变化等等.为了表示随机因素的影响,应该用随机方法建立数学模型.假定各随机因素对脱碳速率的干扰是微小的,并且彼此相互独立,则可将它们的总 Abstract：A mathematical model is proposed and solved for the after-decarbonization at a range of low carbon using the stochastic differential equation.Certain statisti- cal parameters of the solution process have been calculated and discussed.The reliability of the model is verified by experimental data taking the volumetric mass transfer coefficient to be a constant.The application of the model to con- trol the after-decarbonization of converter process is studied considering an exten- sion of the volumetric mass transfer coefficient into general stochastic parame- ter. 收稿日期: 1987-01-18      服务 把本文推荐给朋友 加入引用管理器 E-mail Alert RSS 作者相关文章 曲英 秦明达 杜才难 44.8K 链接本文: https://www.ams.org.cn/CN/      或      https://www.ams.org.cn/CN/Y1987/V23/I1/82 1 杜才难.北京钢铁学院学报,1984;(1) :190 2 秦明达.北京钢铁学院学报,1982;(4) :89 3 秦明达.曲英,冶金反应动力学及第二届炼钢理论学术讨论会论文集(上册),1982年4月,重庆,199 4 Soong T T,Random Differential Equations in Science and Engineering,New York:Academic Press,1973,127 5 秦明达,杜才难.北京钢铁学院学报,1984;(2) :131+ No related articles found! Viewed Full text Abstract Cited   Shared      Discussed