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8 - Hard-Sphere Model

Published online by Cambridge University Press:  05 October 2023

Pawel Kosinski
Affiliation:
Universitetet i Bergen, Norway
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Summary

This chapter explains the hard-sphere model of particle-particle collision. This model exploits impulse equations that directly relate the pre-collisional and post-collisional velocities of the particles. Thus, this model does not track the deformation history that was done in the prior chapters. As a result, we obtain ready analytical solutions so that the computational time is short. First, the chapter shows a standard hard-sphere model for a “mechanical” collision of two bodies. Different strategies are presented, such as the so-called two- and three-parameter hard-sphere model. Later, an extension of these models is shown that also accounts for adhesive interactions. Although, due to its simplicity, the hard-sphere model may not account for various physical phenomena between colliding particles, it may still be used in many applications. In this chapter, the reader is again provided with a computer code.

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Publisher: Cambridge University Press
Print publication year: 2023

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  • Hard-Sphere Model
  • Pawel Kosinski, Universitetet i Bergen, Norway
  • Book: Multiphase Flow with Solid Particles
  • Online publication: 05 October 2023
  • Chapter DOI: https://doi.org/10.1017/9781139505802.009
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  • Hard-Sphere Model
  • Pawel Kosinski, Universitetet i Bergen, Norway
  • Book: Multiphase Flow with Solid Particles
  • Online publication: 05 October 2023
  • Chapter DOI: https://doi.org/10.1017/9781139505802.009
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Hard-Sphere Model
  • Pawel Kosinski, Universitetet i Bergen, Norway
  • Book: Multiphase Flow with Solid Particles
  • Online publication: 05 October 2023
  • Chapter DOI: https://doi.org/10.1017/9781139505802.009
Available formats
×