The terminal settling velocity (TSV) calculation of drops and other spherical objects in fluid medium is a classical problem, which has important application values in many fields such as the study of cloud and precipitation processes, the evaluation of soil erosion, and the determination of fluid viscosity coefficient etc. In this paper, a new explicit approximation model of TSV is established, which combines the theoretical solution of N-S equation about fluid motion around spherical objects and the statistical regression of solution dimensionless coefficients with measurement data. This new model can adapt to different values of drop parameters and medium parameters in a large range of Re. By this model, the relative and absolute calculation errors of TSV are in range of −3.42%−+ 4.34% and −0.271 m/s−+ 0.128 m/s respectively for drop radius 0.005−2.9 mm. Their corresponding root mean square values are 1.77% and 0.084 m/s respectively, which are much smaller than that of past theoretical and empirical models.

流体介质中液滴和其他球形物体的最终沉降速度（TSV）计算是一个经典问题，在许多领域中都具有重要的应用价值，例如云和降水过程的研究，土壤侵蚀的评估以及水的确定。本文建立了一个新的TSV显式逼近模型，该模型将NS方程关于球形物体周围流体运动的理论解与无量纲系数与测量数据的统计回归相结合。这个新模型可以在大范围的Re中适应不同的液滴参数值和中等参数值。通过该模型，对于滴落半径0.005-2.9mm，TSV的相对和绝对计算误差分别在-3.42％-+ 4.34％和-0.271 m / s- + 0.128 m / s的范围内。它们相应的均方根值分别为1.77％和0.084 m / s，比过去的理论模型和经验模型小得多。