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Ｂｅｇｇｓ＆ Ｂｒｉｌｌ相关式只能预测水平管线的流型； Ｍｕｋｅｒｊｅｅ＆ Ｂｒｉｌｌ经验相关式，可进行倾斜多相管路的流型判别。Ｂｅｇｇｓ＆ Ｂｒｉｌｌ相关式计算下坡流动时，持液率偏大，压力回收过大，导致计算的压降值过小。在下坡管路可采用三种改进方法：①在下坡管路中忽略压力回收；②只考虑气体的压力回收；③由于在下坡管段内的流型常为分层流，可采用１９９０年Ｘｉａｏ等人的分层流模型来计算分层流的持液率和压力损失。Ｂｅｇｇｓ＆ Ｂｒｉｌｌ相关式在流型分界处的摩阻系数和持液率数值不连续，可采用插值法计算在流型分界处的摩阻系数和持液率。三种改进方法，都能减少起伏多相管流的压降计算误差，其中以 Ｘｉａｏ等人的分层流模型，误差最小，准确性较高。
The Beggs & Brill correlations predict only the horizontal flow pattern; Mukerjee & Brill empirical correlations allow for the flow patterning of sloping multiphase flow lines. Beggs & Brill Correlation When downhill flows, the hold-up rate is too large and the pressure recovery is too large, resulting in the calculated pressure drop being too small. In the downhill pipeline can be improved by three methods: ① neglected in the downhill pipeline pressure recovery; ② only consider the gas pressure recovery; ③ because the flow in the downhill pipe segment is often stratified flow, can be used 1990 Xiao et al Human stratified flow model to calculate stratified flow holding rate and pressure loss. The friction coefficient and liquid holdup of Beggs & Brill correlation are discontinuous at the flow pattern boundary, and the friction coefficient and liquid holdup at the flow pattern boundary can be calculated using interpolation. The three improved methods can reduce the error of the pressure drop of the multiphase flow with fluctuation. In Xiao et al., The stratified flow model has the smallest error and the higher accuracy.