SIMULATION OF THE CONCENTRATION FIELD DURING PHYSICAL VAPOR DEPOSITION ONTO A NANOFIBER SUBSTRATE
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University of Akron / OhioLINK
2006
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| Online Access: | http://rave.ohiolink.edu/etdc/view?acc_num=akron1153760702 |
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ndltd-OhioLink-oai-etd.ohiolink.edu-akron11537607022021-08-03T05:24:58Z SIMULATION OF THE CONCENTRATION FIELD DURING PHYSICAL VAPOR DEPOSITION ONTO A NANOFIBER SUBSTRATE Hamrick, Paul M. Mathematics nanowire nanotube deposition Plasma Enhanced Physical Vapor Deposition concentration field diffusion irregular boundary finite difference interpolation ghost point block SOR Plasma enhanced physical vapor deposition (PEPVD) is one method to coat nanofibers and nanostructures with thin film materials. Experimental efforts in coating electrospun polymer nanofibers suggest a complicated relationship between coating morphology and operating conditions. This motivates a theoretical model for coating growth. The model presented here assumes a coating growth that is uniform along the axial dimension of the nanofiber but non-uniform in the radial direction. The concentration of vaporized aluminum surrounding the coating growth is non-uniform due to the geometry of the coating growth, therefore modeling the morphology of the growth requires that the surrounding concentration field be determined. The concentration field would then be supplied to an evolution equation. The mode of mass transport is diffusion, therefore the mathematical model consists of Laplace's equation over a polar domain. The domain is an annulus with an irregular inner boundary. A finite difference method is employed to solve the system. The irregular inner boundary geometry, as well as a complicated inner boundary condition, requires that interpolation schemes and ghost points be used at points on and near the boundary. The resulting matrix system is solved with a block SOR iterative method. 2006-10-05 English text University of Akron / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=akron1153760702 http://rave.ohiolink.edu/etdc/view?acc_num=akron1153760702 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws. |
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NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Mathematics nanowire nanotube deposition Plasma Enhanced Physical Vapor Deposition concentration field diffusion irregular boundary finite difference interpolation ghost point block SOR |
| spellingShingle |
Mathematics nanowire nanotube deposition Plasma Enhanced Physical Vapor Deposition concentration field diffusion irregular boundary finite difference interpolation ghost point block SOR Hamrick, Paul M. SIMULATION OF THE CONCENTRATION FIELD DURING PHYSICAL VAPOR DEPOSITION ONTO A NANOFIBER SUBSTRATE |
| author |
Hamrick, Paul M. |
| author_facet |
Hamrick, Paul M. |
| author_sort |
Hamrick, Paul M. |
| title |
SIMULATION OF THE CONCENTRATION FIELD DURING PHYSICAL VAPOR DEPOSITION ONTO A NANOFIBER SUBSTRATE |
| title_short |
SIMULATION OF THE CONCENTRATION FIELD DURING PHYSICAL VAPOR DEPOSITION ONTO A NANOFIBER SUBSTRATE |
| title_full |
SIMULATION OF THE CONCENTRATION FIELD DURING PHYSICAL VAPOR DEPOSITION ONTO A NANOFIBER SUBSTRATE |
| title_fullStr |
SIMULATION OF THE CONCENTRATION FIELD DURING PHYSICAL VAPOR DEPOSITION ONTO A NANOFIBER SUBSTRATE |
| title_full_unstemmed |
SIMULATION OF THE CONCENTRATION FIELD DURING PHYSICAL VAPOR DEPOSITION ONTO A NANOFIBER SUBSTRATE |
| title_sort |
simulation of the concentration field during physical vapor deposition onto a nanofiber substrate |
| publisher |
University of Akron / OhioLINK |
| publishDate |
2006 |
| url |
http://rave.ohiolink.edu/etdc/view?acc_num=akron1153760702 |
| work_keys_str_mv |
AT hamrickpaulm simulationoftheconcentrationfieldduringphysicalvapordepositionontoananofibersubstrate |
| _version_ |
1719419555673014272 |