空间发展型颗粒 chute 流中偏析与流变学的相互耦合

中文摘要 AI 辅助

我们采用一种连续介质框架，研究了沿长 chute 流动的存在密度差的二元颗粒混合物的流动与偏析，该框架将基于颗粒力的偏析模型与基于惯性数的局部流变学耦合在一起。我们同时求解了稳态动量方程和对流-扩散-偏析方程，明确考虑了偏析与流动之间的双向耦合。我们将不同流向位置的预测浓度场和速度场与代表性的 DEM 模拟结果进行了验证。随后，利用经验证的模型，研究了密度比、混合物组成和 chute 倾角在宽范围条件下对偏析的影响。我们量化了实现完全发展偏析所需的 chute 长度，并将其与单分散颗粒流的发展长度进行了比较。在低密度比和/或低倾角条件下，偏析的发展距离远长于速度场的发展距离；相反，在较高倾角和较大密度差条件下，两种长度尺度变得相当，这表明忽略流动发展会显著低估偏析的演化。

英文摘要

We investigate the flow and segregation of binary granular mixtures with density differences down a long chute using a continuum framework that couples a particle-force-based segregation model with an inertial-number-based local rheology. The steady-state momentum and convection-diffusion-segregation equations are solved simultaneously, explicitly accounting for the two-way coupling between segregation and flow. Predicted concentration and velocity fields at different streamwise locations are validated against representative DEM simulations. The validated model is then used to examine the influence of density ratio, mixture composition, and chute inclination on segregation over a wide range of conditions. The chute length required to achieve fully developed segregation is quantified and compared with the development length for monodisperse granular flow. At low density ratios and/or low inclinations, segregation develops over much longer distances than the velocity field. In contrast, at higher inclinations and larger density contrasts, the two length scales become comparable, demonstrating that neglecting flow development can significantly underestimate segregation evolution.

发表机构

• Indian Institute of Technology Kanpur（坎普尔印度理工学院）

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