Viscous fluid sheets
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.
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| Other Authors: | |
| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2008
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| Online Access: | http://hdl.handle.net/1721.1/41725 |
| _version_ | 1826213611478974464 |
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| author | Savva, Nikos |
| author2 | John W.M. Bush. |
| author_facet | John W.M. Bush. Savva, Nikos |
| author_sort | Savva, Nikos |
| collection | MIT |
| description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007. |
| first_indexed | 2024-09-23T15:52:00Z |
| format | Thesis |
| id | mit-1721.1/41725 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T15:52:00Z |
| publishDate | 2008 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/417252019-04-10T18:04:52Z Viscous fluid sheets Savva, Nikos John W.M. Bush. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Dept. of Mathematics. Mathematics. Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007. Includes bibliographical references (leaves 108-117). We present a general theory for the dynamics of thin viscous sheets. Employing concepts from differential geometry and tensor calculus we derive the governing equations in terms of a coordinate system that moves with the film. Special attention is given to incorporating inertia and the curvature forces that arise from the thickness variations along the film. Exploiting the slenderness of the film, we assume that the transverse fluid velocity is small compared to the longitudinal one and perform a perturbation expansion to obtain the leading order equations when the center-surface that defines the coordinate system is parametrized by lines of curvature. We then focus on the dynamics of flat film rupture, in an attempt to gain some insights into the sheet breakup and its fragmentation into droplets. By combining analytical and numerical methods, we extend the prior work on the subject and compare our numerical simulations with experimental work reported in the literature. by Nikos Savva. Ph.D. 2008-05-19T16:12:25Z 2008-05-19T16:12:25Z 2007 2007 Thesis http://hdl.handle.net/1721.1/41725 225064871 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 117 leaves application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Savva, Nikos Viscous fluid sheets |
| title | Viscous fluid sheets |
| title_full | Viscous fluid sheets |
| title_fullStr | Viscous fluid sheets |
| title_full_unstemmed | Viscous fluid sheets |
| title_short | Viscous fluid sheets |
| title_sort | viscous fluid sheets |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/41725 |
| work_keys_str_mv | AT savvanikos viscousfluidsheets |