顶吹气体射流冲击下熔池中液体流动的数学物理模型

A MATHEMATICAL AND PHYSICAL MODEL FOR THE FLUID FLOW FIELD IN A BATH CAUSED BY AN IMPINGING GAS JET

  • 摘要: 本文将湍流运动方程和k—ε湍流双方程模型结合,提出了顶吹气体射流冲击下熔池中液体流动的数学模型,并采用Spalding等人提出的方法解这一非线性偏微分方程组。同时,还用激光测速方法得到实验测定的流场速度分布。在计算结果及实验数据的基础上,分析、研究了流场的性质和特点。
    由于用k—ε湍流模型代替k—ι模型以及在边界条件及计算方法上的一些改进,使数学模型预报的结果比前人的相应结果更符合实际。而且,本文提出的数学模型适用于大气体流量射流冲击下液体流场的计算,这是对前人工作的一个突破。总之,我们的工作可以认为是Szekely和李有章等人相应研究的继续和深入。

     

    Abstract: In this paper, mathematical model is proposed for describing the flow field in liquids or melts agitated by a symmetrically placed impinging gas jet. The problem is formulared by the statement of the axi-symmetrical turbulent Navier-Stokes equations using k-e model for the eddy viscosity. The differential equations are solved numerically using a technique described by Gosman and Spalding et al. and the computed results are shown to be in satisfactory agreement with experimental data both in previous and present investigations.
    Due to the improvements made in the model, the predicted results are closer to the than those in the previous study by Li Yuzhang et al. Experimental data, furthermore, the present model may be used to describe the fluid agitated by an impinging gas jet with more extensive range of gas flow rate.
    In general, this paper may be considered as a continuation and extension to the work which has been done by the previous investigators.

     

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