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頂吹氣體射流沖擊下熔池中液體流動的數學物理模型

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

  • 摘要: 本文將湍流運動方程和k—ε湍流雙方程模型結合,提出了頂吹氣體射流沖擊下熔池中液體流動的數學模型,并采用Spalding等人提出的方法解這一非線性偏微分方程組。同時,還用激光測速方法得到實驗測定的流場速度分布。在計算結果及實驗數據的基礎上,分析、研究了流場的性質和特點。
    由于用k—ε湍流模型代替k—ι模型以及在邊界條件及計算方法上的一些改進,使數學模型預報的結果比前人的相應結果更符合實際。而且,本文提出的數學模型適用于大氣體流量射流沖擊下液體流場的計算,這是對前人工作的一個突破。總之,我們的工作可以認為是Szekely和李有章等人相應研究的繼續和深入。

     

    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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