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Intercoupling of Segregation and Rheology in Spatially Developing Granular Chute Flows

Abstract

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.

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BibTeX
@misc{kumawat2026intercoupling,
  title = {{Intercoupling of Segregation and Rheology in Spatially Developing Granular Chute Flows}},
  author = {Soniya Kumawat and Sayeedul Islam Sheikh and Satyabrata Patro and Vishal Singh and Anurag Tripathi},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.30994},
  eprint = {2608.30994},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.30994},
}
RIS
TY  - UNPB
TI  - Intercoupling of Segregation and Rheology in Spatially Developing Granular Chute Flows
AU  - Soniya Kumawat
AU  - Sayeedul Islam Sheikh
AU  - Satyabrata Patro
AU  - Vishal Singh
AU  - Anurag Tripathi
PY  - 2026
DA  - 2026/08/31
PB  - arXiv
DO  - 10.48550/arxiv.2608.30994
UR  - https://arxiv.org/abs/2608.30994
AB  - 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.
ER  -