颗粒堆积多孔介质内幂律流体流动阻力模型

Flow resistance model of power law fluid flow through granular porous medium with wall effect

中文关键词: 律流体  多孔介质  颗粒堆积  空隙效应  阻力模型  惯性系数

英文关键词: power law fluid  porous medium  packing of particle  void effect  resistance model  Inertia coefficient

中文摘要:

      基于平均水力半径理论、Carman-Kozeny-Blake模型及孔喉通道模型，综合考虑边壁摩擦和边壁空隙对压力降的影响，得到了关于迂曲度、孔隙率、喉孔比、颗粒直径、边壁修正系数及幂律指数等重要参数修正的阻力计算模型。结果表明：新模型在较大流态区间内的阻力预测值与文献吻合较好，证实了边壁对惯性项压力损失的影响与雷诺数和通道颗粒比值D/d的大小密切相关，同时推导出了幂律流体的临界雷诺数、修正渗透率及惯性系数的表达式。

英文摘要:

      Based on the average hydraulic radius theory，the Carman-Kozeny-Blake model and the contracting-expanding channel model, this study developed a new resistance model for predicting power law fluid ?ow through granular porous medium with homogeneous spherical particles. By considering the influence of wall effect on the pressure drop，a modified Ergun type equation was expressed as a function of tortuosity, porosity, ratio of throat diameter to pore hydraulic diameter, diameter of particles, wall correction factor and ?uid rheological index. The validity of the present model was evaluated by comparing the predicted friction factor to the published theoretical models correlations, the analysis results showed that the new model predictions were in good agreement with the existing documents data in a larger flow regime. Also it was confirmed that the influence of wall effect on the inertia item pressure loss was closely related to the Reynolds number and D/d. At last, the correlations of critical Reynolds number, the modified permeability and the inertia coefficient for power law fluid were also expressed.