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Kinetic Energy for a Rigid Body01:13

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Imagine a solid object involved in a general planar movement, with its center of mass pinpointed at a spot labeled G. The object's kinetic energy relative to an arbitrary point A can be quantified for each of its particles - the ith particle in this case. This measurement is achieved through the employment of the relative velocity definition. The position vector, known as rA, extends from point A to the mass element i.
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Rigid Body Dynamics Algorithm for Modeling Random Packing Structures of Nonspherical and Nonconvex Pellets.

Elyas M Moghaddam1, Esmail A Foumeny1, Andrzej I Stankiewicz1

  • 1Process & Energy Department, Delft University of Technology, 2628CB Delft, The Netherlands.

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A new rigid body dynamics algorithm simulates packing of nonspherical catalyst pellets, crucial for chemical engineering. This method accurately models particle interactions and packing structures, offering insights into dense packing configurations.

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Area of Science:

  • Chemical Engineering
  • Materials Science
  • Computational Physics

Background:

  • Nonspherical catalyst pellets are widely used in chemical engineering.
  • Systematic studies on packing structures of nonspherical pellets lag behind those of spherical packings.
  • Understanding packing structures is vital for optimizing reactor performance and efficiency.

Purpose of the Study:

  • To develop and validate a novel packing algorithm for simulating nonspherical and nonconvex pellets.
  • To investigate the influence of particle shape and system parameters on packing structures.
  • To provide a robust computational tool for studying granular materials in chemical processes.

Main Methods:

  • A rigid body dynamics simulation employing a hard-body approach to model collisions.
  • A novel velocity cutoff criterion to manage transitions between moving and resting particles.
  • Simulation of packing structures for spheres, cylinders, and Raschig rings within confining tubes.

Main Results:

  • The algorithm successfully generates packing structures for various nonspherical shapes.
  • Validation against literature data for bulk porosity and radial void fraction distribution shows satisfactory agreement.
  • Denser packings are achieved with high restitution and low friction coefficients.
  • Confining tube walls significantly impact packing structures, causing porosity fluctuations in narrow tubes.

Conclusions:

  • The proposed rigid body dynamics algorithm is effective for simulating nonspherical pellet packings.
  • Simulation parameters like restitution and friction coefficients influence packing density.
  • The geometry of the confining vessel plays a critical role in the resulting void structure.