Reynolds AM
Silsoe Research Institute, Wrest Park, Silsoe, Bedford, MK45 4HS, England, UK
J Colloid Interface Sci. 2000 Dec 15;232(2):260-268. doi: 10.1006/jcis.2000.7208.
The modeling approach of B. L. Sawford and F. H. Guest ("8th Symposium of Turbulence and Diffusion; San Diego, CA," pp. 96-99. Am. Meteorol. Soc., Boston, MA, 1990) is extended to encompass the formulation of Lagrangian stochastic models for fluid velocities along heavy-particle trajectories in inhomogeneous turbulent flows. The approach ensures consistency with prescribed Eulerian fluid velocity statistics. Models are formulated and then used in conjuction with the equations of motion for heavy particles to simulate the trajectories of heavy particles in vertical turbulent pipe flow. Model predictions for particle-velocity statistics, particle deposition velocities, and mean particle concentrations are shown to be in good agreement with experimental results. In contrast with "eddy-interaction" models but in accord with the results of direct numerical simulations, the models predict a buildup of mean particle concentration within the viscous sublayer at y(+) approximately 0.2. It is suggested that Lagrangian stochastic models for fluid-particle motions provide a good description of fluid velocities along the trajectories of heavy particles, when Lagrangian timescales are appropriately modified. Copyright 2000 Academic Press.
B. L. 索福德和F. H. 格斯特的建模方法（《湍流与扩散第8次研讨会；加利福尼亚州圣地亚哥》，第96 - 99页。美国气象学会，马萨诸塞州波士顿，1990年）得到扩展，以涵盖非均匀湍流中重粒子轨迹上流体速度的拉格朗日随机模型的公式化。该方法确保与规定的欧拉流体速度统计数据一致。构建模型，然后将其与重粒子的运动方程结合使用，以模拟垂直湍流管道流中重粒子的轨迹。结果表明，模型对粒子速度统计、粒子沉积速度和平均粒子浓度的预测与实验结果吻合良好。与“涡旋相互作用”模型不同，但与直接数值模拟结果一致，这些模型预测在粘性底层中y(+)约为0.2处平均粒子浓度会增加。研究表明，当拉格朗日时间尺度经过适当修正时，流体 - 粒子运动的拉格朗日随机模型能很好地描述重粒子轨迹上的流体速度。版权所有2000年学术出版社。
