在兩相紊流的理論中,顆粒與氣相紊流之間的交互作用是一個非常複雜的現象。一般來說,可分成兩個部分來探討,第一部份為氣相紊流場對顆粒所造成的分散效應(dispersion effect),第二部分則是顆粒對氣相紊流場所造成的紊流調制效應(modulation effect)。在計算兩相紊流場之粒子分散效應時，必須先求出粒子軌跡變化量，以往因為缺乏分散相相關性之資料，故多以連續相相關性代替。本文以黃登淵(1995)量測兩相混合層紊流場之實驗數據為基礎，以Frenkiel經驗式來模擬粒子之自相關性函數，發現連續相在單相流場與兩相流場中的行為並不相同，故以單相流中的連續相來代替兩相流中的連續相(5μm)以進行分散效應的計算並不恰當。

　　在紊流調制效應部份，本文以最小平方差的原理，配合最能代表曲線的資料點來進行曲線模擬，進而以內插法求出紊流調制項。所內插出來的結果與楊進成(2000)所求出的紊流調制項非常接近，因此可知道楊進成(2000)配合張克勤等人(1997) Lagrangian型式的顆粒紊流動能方程式,所推導出Lagrangian型式的紊流調制項方程式是正確的。

　　The particle/turbulence interactions in two-phase flows are complicated phenomena. This problem is usually divided into two subjects. One is particle dispersion caused by carrier-fluid turbulence, while the other is the modification of carrier-fluid turbulence caused by the existence of particle. To estimate particle dispersion, it requires the information of trajectory variances of particle which can be solved from the integration of particle velocity autocorrelation with respect to time. Due to lack of particle velocity autocorrelation, researchers usually correlated particle velocity autocorrelation with the carrier-fluid velocity autocorrelation. This study utilized the raw data for both single and two-phase planar mixing layers, which were measured by Huang(1995), to calculate autocorrelations of the carrier fluid and the particle phase. It shows that the fluid velocity autocorrelation functions in the single-phase case differ from those in the two–phase case. As a result, the usual substitution of the carrier-fluid autocorrelation in two-phase flow by using the one in single-phase is improper.

　　The symmetric profiles of are made by using the least-square fitting method, and the turbulence modulation quantities are then interpolated by .Comparison between the present turbulence modulation quantities and the ones predicted with the Lagrangian transport equation of by Yang(2000) shows good agreement. It onfirms the validity of the Lagrangian transport equation of originally derived by Chang et al.(1997).

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