Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries
The flow of blood through a narrow artery with bell-shaped stenosis is investigated, treating blood as Casson fluid. Present results are compared with the results of the Herschel-Bulkley fluid model obtained by Misra and Shit (2006) for the same geometry. Resistance to flow and skin friction are nor...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/583809 |
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| author | J. Venkatesan D. S. Sankar K. Hemalatha Yazariah Yatim |
| author_facet | J. Venkatesan D. S. Sankar K. Hemalatha Yazariah Yatim |
| author_sort | J. Venkatesan |
| collection | DOAJ |
| description | The flow of blood through a narrow artery with bell-shaped
stenosis is investigated, treating blood as Casson fluid. Present results are
compared with the results of the Herschel-Bulkley fluid model obtained by
Misra and Shit (2006) for the same geometry. Resistance to flow and skin
friction are normalized in two different ways such as (i) with respect to the
same non-Newtonian fluid in a normal artery which gives the effect of a
stenosis and (ii) with respect to the Newtonian fluid in the stenosed artery which spells out the non-Newtonian effects of the fluid. It is found that the
resistance to flow and skin friction increase with the increase of maximum
depth of the stenosis, but these flow quantities (when normalized with non-Newtonian fluid in normal artery) decrease with the increase of the yield
stress, as obtained by Misra and Shit (2006). It is also noticed that the resistance to flow and skin friction increase (when normalized with Newtonian fluid in stenosed artery) with the increase of the yield stress. |
| format | Article |
| id | doaj-art-649c8bf77f1d40d7bd962fc05af06d56 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-649c8bf77f1d40d7bd962fc05af06d562025-02-03T01:25:07ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/583809583809Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow ArteriesJ. Venkatesan0D. S. Sankar1K. Hemalatha2Yazariah Yatim3Department of Mathematics, Rajalakshmi Engineering College, Thandalam, Chennai 602 105, IndiaDivision of Mathematics, School of Advanced Sciences, VIT University, Chennai Campus, Chennai 600 127, IndiaDepartment of Mathematics, Anna University, Chennai 600 025, IndiaSchool of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, MalaysiaThe flow of blood through a narrow artery with bell-shaped stenosis is investigated, treating blood as Casson fluid. Present results are compared with the results of the Herschel-Bulkley fluid model obtained by Misra and Shit (2006) for the same geometry. Resistance to flow and skin friction are normalized in two different ways such as (i) with respect to the same non-Newtonian fluid in a normal artery which gives the effect of a stenosis and (ii) with respect to the Newtonian fluid in the stenosed artery which spells out the non-Newtonian effects of the fluid. It is found that the resistance to flow and skin friction increase with the increase of maximum depth of the stenosis, but these flow quantities (when normalized with non-Newtonian fluid in normal artery) decrease with the increase of the yield stress, as obtained by Misra and Shit (2006). It is also noticed that the resistance to flow and skin friction increase (when normalized with Newtonian fluid in stenosed artery) with the increase of the yield stress.http://dx.doi.org/10.1155/2013/583809 |
| spellingShingle | J. Venkatesan D. S. Sankar K. Hemalatha Yazariah Yatim Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries Journal of Applied Mathematics |
| title | Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries |
| title_full | Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries |
| title_fullStr | Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries |
| title_full_unstemmed | Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries |
| title_short | Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries |
| title_sort | mathematical analysis of casson fluid model for blood rheology in stenosed narrow arteries |
| url | http://dx.doi.org/10.1155/2013/583809 |
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