Diffusion in an absorbing porous medium : from microscopic geometry to macroscopic transport
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2007.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2008
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| Online Access: | http://hdl.handle.net/1721.1/40293 |
| _version_ | 1826209217127645184 |
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| author | Forney, David C., III |
| author2 | Daniel H. Rothman. |
| author_facet | Daniel H. Rothman. Forney, David C., III |
| author_sort | Forney, David C., III |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2007. |
| first_indexed | 2024-09-23T14:19:00Z |
| format | Thesis |
| id | mit-1721.1/40293 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T14:19:00Z |
| publishDate | 2008 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/402932019-04-10T17:13:45Z Diffusion in an absorbing porous medium : from microscopic geometry to macroscopic transport Forney, David C., III Daniel H. Rothman. Massachusetts Institute of Technology. Dept. of Mechanical Engineering. Massachusetts Institute of Technology. Dept. of Mechanical Engineering. Mechanical Engineering. Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2007. This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections. Includes bibliographical references (p. 71-73). Two physical models of diffusion in absorbing porous media are proposed on two length scales. One models diffusion in the pore space of a random medium with absorbing interfaces while the other is a reaction diffusion model where particles are absorbed in the bulk. Typical particle traveling distances and a bulk absorption coefficient are described in terms of general geometrical characteristics of a random medium and the analytical relations are found to compare well with numerical experiments. For the case of geometries consisting of randomly placed cubes, absorption in the bulk scales with the solid fraction to the two-thirds power. The statistical distribution of reaction rates in these models is found to be inversely related to the reaction rate. A quasi-static Monte-Carlo model is also investigated. The more complex problem of microbial extracellular enzyme distributions in marine sediment was an inspiration for this work. by David C. Forney, III. S.M. 2008-02-27T20:35:42Z 2008-02-27T20:35:42Z 2007 2007 Thesis http://hdl.handle.net/1721.1/40293 190863990 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 73 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mechanical Engineering. Forney, David C., III Diffusion in an absorbing porous medium : from microscopic geometry to macroscopic transport |
| title | Diffusion in an absorbing porous medium : from microscopic geometry to macroscopic transport |
| title_full | Diffusion in an absorbing porous medium : from microscopic geometry to macroscopic transport |
| title_fullStr | Diffusion in an absorbing porous medium : from microscopic geometry to macroscopic transport |
| title_full_unstemmed | Diffusion in an absorbing porous medium : from microscopic geometry to macroscopic transport |
| title_short | Diffusion in an absorbing porous medium : from microscopic geometry to macroscopic transport |
| title_sort | diffusion in an absorbing porous medium from microscopic geometry to macroscopic transport |
| topic | Mechanical Engineering. |
| url | http://hdl.handle.net/1721.1/40293 |
| work_keys_str_mv | AT forneydavidciii diffusioninanabsorbingporousmediumfrommicroscopicgeometrytomacroscopictransport |