Graetz problem for slip flow in a channel in the presence of axial conduction, viscous dissipation and flow work
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2002.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2006
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| Online Access: | http://hdl.handle.net/1721.1/29586 |
| _version_ | 1811095591122370560 |
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| author | Baker, Lowell L. (Lowell Lane), 1980- |
| author2 | Nicolas Hadjiconstantinou. |
| author_facet | Nicolas Hadjiconstantinou. Baker, Lowell L. (Lowell Lane), 1980- |
| author_sort | Baker, Lowell L. (Lowell Lane), 1980- |
| collection | MIT |
| description | Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2002. |
| first_indexed | 2024-09-23T16:20:16Z |
| format | Thesis |
| id | mit-1721.1/29586 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T16:20:16Z |
| publishDate | 2006 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/295862019-04-11T05:50:14Z Graetz problem for slip flow in a channel in the presence of axial conduction, viscous dissipation and flow work Baker, Lowell L. (Lowell Lane), 1980- Nicolas Hadjiconstantinou. Massachusetts Institute of Technology. Dept. of Mechanical Engineering. Massachusetts Institute of Technology. Dept. of Mechanical Engineering. Mechanical Engineering. Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2002. Includes bibliographical references (p. 67). This thesis investigates developing heat transfer in laminar, hydrodynamically fully developed slip flow in a channel with a constant wall temperature. Slip flow is a good approximation when the Knudsen number, the ratio of the molecular mean free path to the channel width, is less than approximately 0.1. Our analysis includes the effects of viscous dissipation, flow work, and axial heat conduction. A series solution is used to solve for the temperature distribution and provide predictions for the Nusselt number. It is found that inclusion of axial conduction increases both the non-dimensional temperature and the Nusselt number at a given location. The effect of slip flow is to increase the non-dimensional temperature and decrease the Nusselt number at a given location. The effects of viscous dissipation and flow work are more complex, and can either increase or decrease the non-dimensional temperature and the Nusselt number at various points along the length of the channel. It is found that a non-zero Eckert number will result in an asymptotic N usselt number (based on energy transfer to the wall) of zero. The joint effects of slip flow, axial heat conduction, and viscous dissipation and flow work, are also illustrated through exploration of the relevant parameter space. by Lowell L. Baker. S.B. 2006-03-24T16:05:01Z 2006-03-24T16:05:01Z 2002 2002 Thesis http://hdl.handle.net/1721.1/29586 52899182 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 67 p. 1614585 bytes 1614394 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mechanical Engineering. Baker, Lowell L. (Lowell Lane), 1980- Graetz problem for slip flow in a channel in the presence of axial conduction, viscous dissipation and flow work |
| title | Graetz problem for slip flow in a channel in the presence of axial conduction, viscous dissipation and flow work |
| title_full | Graetz problem for slip flow in a channel in the presence of axial conduction, viscous dissipation and flow work |
| title_fullStr | Graetz problem for slip flow in a channel in the presence of axial conduction, viscous dissipation and flow work |
| title_full_unstemmed | Graetz problem for slip flow in a channel in the presence of axial conduction, viscous dissipation and flow work |
| title_short | Graetz problem for slip flow in a channel in the presence of axial conduction, viscous dissipation and flow work |
| title_sort | graetz problem for slip flow in a channel in the presence of axial conduction viscous dissipation and flow work |
| topic | Mechanical Engineering. |
| url | http://hdl.handle.net/1721.1/29586 |
| work_keys_str_mv | AT bakerlowellllowelllane1980 graetzproblemforslipflowinachannelinthepresenceofaxialconductionviscousdissipationandflowwork |