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A mixed contact model for an immersed collision between two solid surfaces.

Fu-Ling Yang1, Melany L Hunt

  • 1Department of Mechanical Engineering, National Taiwan University, Taipei 106, Taiwan, Republic of China. fulingyang@ntu.edu.tw

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|March 20, 2008
PubMed
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The surrounding liquid significantly alters solid particle collisions, impacting granular flow. A new "mixed contact" model accurately captures these wet particle interactions, improving simulations.

Area of Science:

  • Physics
  • Materials Science
  • Fluid Dynamics

Background:

  • Ambient liquid presence modifies solid surface collisions, affecting granular flow behavior.
  • Existing models using elastohydrodynamic lubrication (EHL) often neglect liquid effects during particle contact.

Purpose of the Study:

  • To investigate how surrounding liquid influences the impact and rebound of solid spheres.
  • To develop a novel collision model that accounts for both surface asperities and interstitial liquid.

Main Methods:

  • Formulated a 'mixed contact' mechanism combining asperity interactions and liquid effects.
  • Introduced a recovery factor to quantify energy loss from asperity-liquid interactions.
  • Developed a generalized collision model with a fourth non-dimensional parameter.

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Main Results:

  • The new 'mixed contact' model shows improved performance compared to existing models when validated with experimental data.
  • The model successfully characterizes additional energy dissipation due to asperity-liquid interactions.
  • A generalized collision model was established, incorporating wet coefficient of restitution, Stokes number, elasticity parameter, and a new momentum-impulse parameter.

Conclusions:

  • The developed 'mixed contact' collision model provides a more accurate representation of solid particle collisions in liquids.
  • This model can be integrated into numerical simulations for enhanced prediction of bulk solid-liquid mixture dynamics.
  • The findings offer a more comprehensive understanding of granular flow in the presence of liquids.