Continuum modeling of particle suspension conductivity
Thesis: S.M., Massachusetts Institute of Technology, Department of Mechanical Engineering, 2015.
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| Other Authors: | |
| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2016
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| Online Access: | http://hdl.handle.net/1721.1/101480 |
| _version_ | 1811069169284677632 |
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| author | Olsen, Tyler J. (Tyler John) |
| author2 | Kenneth N. Kamrin. |
| author_facet | Kenneth N. Kamrin. Olsen, Tyler J. (Tyler John) |
| author_sort | Olsen, Tyler J. (Tyler John) |
| collection | MIT |
| description | Thesis: S.M., Massachusetts Institute of Technology, Department of Mechanical Engineering, 2015. |
| first_indexed | 2024-09-23T08:06:47Z |
| format | Thesis |
| id | mit-1721.1/101480 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T08:06:47Z |
| publishDate | 2016 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1014802019-04-09T16:44:41Z Continuum modeling of particle suspension conductivity Olsen, Tyler J. (Tyler John) Kenneth N. Kamrin. Massachusetts Institute of Technology. Department of Mechanical Engineering. Massachusetts Institute of Technology. Department of Mechanical Engineering. Mechanical Engineering. Thesis: S.M., Massachusetts Institute of Technology, Department of Mechanical Engineering, 2015. Cataloged from PDF version of thesis. Includes bibliographical references (pages 91-94). A suspension of network-forming, electrically conductive particles imparts electrical conductivity to an otherwise insulating medium. This effect can be used to great effect in many industrial applications. The ability to describe these networks and to predict their physical properties is a key step in designing systems that rely on these properties. In addition, many times these networks are suspended in a flowing fluid, which disrupts existing networks and forms new ones. The extra layer of complexity introduced by flow requires more sophisticated tools to model the effect on the network and its properties. In the first chapter, we derive a model for the full, tensorial effective conductivity of a particle particle network as a function of a local tensor description of the particle network, the "fabric tensor." We validate our model against a large number of computer-generated networks and compare its performance against an analogous existing model in the literature. We show that the model accurately predicts the isotropic magnitude, deviatoric magnitude, and deviatoric direction of a particle network. In the second chapter, we set out to model the effects of flow on a particle network. We propose two frame-indifferent constitutive equations for the evolution of the fabric tensor. We perform conductivity measurements of real flowing carbon black suspensions and fit our models to the results by using the conductivity model derived in chapter 1. We find that our models are able to reproduce out-of-sample experimental results with a high degree of accuracy. by Tyler J. Olsen. S.M. 2016-03-03T21:03:49Z 2016-03-03T21:03:49Z 2015 2015 Thesis http://hdl.handle.net/1721.1/101480 938679292 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 94 pages application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mechanical Engineering. Olsen, Tyler J. (Tyler John) Continuum modeling of particle suspension conductivity |
| title | Continuum modeling of particle suspension conductivity |
| title_full | Continuum modeling of particle suspension conductivity |
| title_fullStr | Continuum modeling of particle suspension conductivity |
| title_full_unstemmed | Continuum modeling of particle suspension conductivity |
| title_short | Continuum modeling of particle suspension conductivity |
| title_sort | continuum modeling of particle suspension conductivity |
| topic | Mechanical Engineering. |
| url | http://hdl.handle.net/1721.1/101480 |
| work_keys_str_mv | AT olsentylerjtylerjohn continuummodelingofparticlesuspensionconductivity |