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Dynamic shape factor for particles of various shapes in the intermediate settling regime

Abstract There are a number of shape factors available in the literature to describe the deviation of non-spherical particles to spheres. Dynamic shape factor ( χ ) is the most suitable parameter for flow applications as it takes into account the dynamic properties of the non-spherical particles. In this study, dynamic shape factors for spheres, cubes, cuboids and cylinders settling in the transition regime (2 t χ for spheres and cubes are found to be constant with particle size when conventional wall effect models are followed. χ for cuboids and cylinders, on the other hand, are found to be a function of the particle characteristic length-to-column diameter ratio ( l / D ) and the particle aspect ratio ( l / d ). An empirical correlation is developed to estimate χ for both cuboids and cylinders settling in the intermediate regime. The correlation can provide a low average error of 3% for all the cuboids and cylinders used in this study.
- Nanyang Technological University Singapore
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