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Transmission Probability of Diffusing Particles—A Case Study

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TMS 2017 146th Annual Meeting & Exhibition Supplemental Proceedings

Part of the book series: The Minerals, Metals & Materials Series ((MMMS))

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Abstract

A diffusing particle is subjected to a variety of collisions that lead to a random or Brownian motion. The aim of this study is to compute the transmission probability and highlight the visualization of Brownian motion under the conditions of varying viscosity, particle size and temperature. As a preliminary study, two simulation results such as transport of diluted species and particle based approach have been compared and the transmission probability is computed by a particle based approach. We validate our results with Stokes-Einstein equation and Fang and Ning’s experimental and theoretical work and show that the transmission probability increases with decrease in viscosity and particle size and increase in temperature. The obtained results also describe the Brownian motion for various particle sizes, viscosity and temperature.

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Acknowledgements

One of the authors (Kinnari Shah) acknowledges the financial support, in the form of a Teaching Assistantship, by the Department of Mechanical and Industrial Engineering at the New Jersey Institute of Technology.

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Authors and Affiliations

  1. Department of Mechanical and Industrial Engineering, New Jersey Institute of Technology, Newark, New Jersey, 07102, USA

    Kinnari Shah

  2. Interdisciplinary Program in Materials Science & Engineering, New Jersey Institute of Technology, Newark, New Jersey, 07102, USA

    Nuggehalli M. Ravindra

Authors
  1. Kinnari Shah
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  2. Nuggehalli M. Ravindra
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Correspondence to Kinnari Shah .

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  1. Pittsburgh, Pennsylvania, USA

    The Minerals, Metals & Materials Society TMS

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Shah, K., Ravindra, N.M. (2017). Transmission Probability of Diffusing Particles—A Case Study. In: TMS, T. (eds) TMS 2017 146th Annual Meeting & Exhibition Supplemental Proceedings. The Minerals, Metals & Materials Series. Springer, Cham. https://doi.org/10.1007/978-3-319-51493-2_72

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