Method of straight lines for a Bingham problem
In this work we develop a method of straight lines for a one-dimensional Bingham problem. A Bingham fluid has viscosity properties that produce a separation into two regions, a rigid zone and a viscous zone. We propose a method of lines with the time as a discrete variable. We prove that the method...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2002-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/60/abstr.html |
| _version_ | 1818146027404787712 |
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| author | German Torres Cristina Turner |
| author_facet | German Torres Cristina Turner |
| author_sort | German Torres |
| collection | DOAJ |
| description | In this work we develop a method of straight lines for a one-dimensional Bingham problem. A Bingham fluid has viscosity properties that produce a separation into two regions, a rigid zone and a viscous zone. We propose a method of lines with the time as a discrete variable. We prove that the method is well defined, a monotone property, and a convergence theorem. Behavior of the numerical solution and numerical experiments are presented at the end of this work. |
| first_indexed | 2024-12-11T12:12:49Z |
| format | Article |
| id | doaj.art-57dd2688c43343668dfc2cab10728a73 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T12:12:49Z |
| publishDate | 2002-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-57dd2688c43343668dfc2cab10728a732022-12-22T01:07:44ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-06-01200260113Method of straight lines for a Bingham problemGerman TorresCristina TurnerIn this work we develop a method of straight lines for a one-dimensional Bingham problem. A Bingham fluid has viscosity properties that produce a separation into two regions, a rigid zone and a viscous zone. We propose a method of lines with the time as a discrete variable. We prove that the method is well defined, a monotone property, and a convergence theorem. Behavior of the numerical solution and numerical experiments are presented at the end of this work.http://ejde.math.txstate.edu/Volumes/2002/60/abstr.htmlBingham fluidstraight linesnon-newtonian fluids. |
| spellingShingle | German Torres Cristina Turner Method of straight lines for a Bingham problem Electronic Journal of Differential Equations Bingham fluid straight lines non-newtonian fluids. |
| title | Method of straight lines for a Bingham problem |
| title_full | Method of straight lines for a Bingham problem |
| title_fullStr | Method of straight lines for a Bingham problem |
| title_full_unstemmed | Method of straight lines for a Bingham problem |
| title_short | Method of straight lines for a Bingham problem |
| title_sort | method of straight lines for a bingham problem |
| topic | Bingham fluid straight lines non-newtonian fluids. |
| url | http://ejde.math.txstate.edu/Volumes/2002/60/abstr.html |
| work_keys_str_mv | AT germantorres methodofstraightlinesforabinghamproblem AT cristinaturner methodofstraightlinesforabinghamproblem |