Nonlinear Fluid Models for Biofluid Flow in Constricted Blood Vessels under Body Accelerations: A Comparative Study
Pulsatile flow of blood in constricted narrow arteries under periodic body acceleration is analyzed, modeling blood as non-Newtonian fluid models with yield stress such as (i) Herschel-Bulkley fluid model and (ii) Casson fluid model. The expressions for various flow quantities obtained by Sankar and...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/950323 |
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| author | D. S. Sankar Atulya K. Nagar |
| author_facet | D. S. Sankar Atulya K. Nagar |
| author_sort | D. S. Sankar |
| collection | DOAJ |
| description | Pulsatile flow of blood in constricted narrow arteries under periodic body acceleration is analyzed, modeling blood as non-Newtonian fluid models with yield stress such as (i) Herschel-Bulkley fluid model and (ii) Casson fluid model. The expressions for various flow quantities obtained by Sankar and Ismail (2010) for Herschel-Bulkley fluid model and Nagarani and Sarojamma (2008), in an improved form, for Casson fluid model are used to compute the data for comparing these fluid models. It is found that the plug core radius and wall shear stress are lower for H-B fluid model than those of the Casson fluid model. It is also noted that the plug flow velocity and flow rate are considerably higher for H-B fluid than those of the Casson fluid model. The estimates of the mean velocity and mean flow rate are considerably higher for H-B fluid model than those of the Casson fluid model. |
| format | Article |
| id | doaj-art-d97d408ac69d4a0483e224a01c0680ba |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d97d408ac69d4a0483e224a01c0680ba2025-02-03T01:24:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/950323950323Nonlinear Fluid Models for Biofluid Flow in Constricted Blood Vessels under Body Accelerations: A Comparative StudyD. S. Sankar0Atulya K. Nagar1School of Mathematical Sciences, University Science Malaysia, 11800 Penang, MalaysiaCentre for Applicable Mathematics and Systems Science, Department of Computer Science, Liverpool Hope University, Hope Park, Liverpool L16 9JD, UKPulsatile flow of blood in constricted narrow arteries under periodic body acceleration is analyzed, modeling blood as non-Newtonian fluid models with yield stress such as (i) Herschel-Bulkley fluid model and (ii) Casson fluid model. The expressions for various flow quantities obtained by Sankar and Ismail (2010) for Herschel-Bulkley fluid model and Nagarani and Sarojamma (2008), in an improved form, for Casson fluid model are used to compute the data for comparing these fluid models. It is found that the plug core radius and wall shear stress are lower for H-B fluid model than those of the Casson fluid model. It is also noted that the plug flow velocity and flow rate are considerably higher for H-B fluid than those of the Casson fluid model. The estimates of the mean velocity and mean flow rate are considerably higher for H-B fluid model than those of the Casson fluid model.http://dx.doi.org/10.1155/2012/950323 |
| spellingShingle | D. S. Sankar Atulya K. Nagar Nonlinear Fluid Models for Biofluid Flow in Constricted Blood Vessels under Body Accelerations: A Comparative Study Journal of Applied Mathematics |
| title | Nonlinear Fluid Models for Biofluid Flow in Constricted Blood
Vessels under Body Accelerations: A Comparative Study |
| title_full | Nonlinear Fluid Models for Biofluid Flow in Constricted Blood
Vessels under Body Accelerations: A Comparative Study |
| title_fullStr | Nonlinear Fluid Models for Biofluid Flow in Constricted Blood
Vessels under Body Accelerations: A Comparative Study |
| title_full_unstemmed | Nonlinear Fluid Models for Biofluid Flow in Constricted Blood
Vessels under Body Accelerations: A Comparative Study |
| title_short | Nonlinear Fluid Models for Biofluid Flow in Constricted Blood
Vessels under Body Accelerations: A Comparative Study |
| title_sort | nonlinear fluid models for biofluid flow in constricted blood vessels under body accelerations a comparative study |
| url | http://dx.doi.org/10.1155/2012/950323 |
| work_keys_str_mv | AT dssankar nonlinearfluidmodelsforbiofluidflowinconstrictedbloodvesselsunderbodyaccelerationsacomparativestudy AT atulyaknagar nonlinearfluidmodelsforbiofluidflowinconstrictedbloodvesselsunderbodyaccelerationsacomparativestudy |