The Effect of Boundary Slip on the Transient Pulsatile Flow of a Modified Second-Grade Fluid
We investigate the effect of boundary slip on the transient pulsatile fluid flow through a vessel with body acceleration. The Fahraeus-Lindqvist effect, expressing the fluid behavior near the wall by the Newtonian fluid while in the core by a non-Newtonian fluid, is also taken into account. To descr...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/858597 |
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| author | N. Khajohnsaksumeth B. Wiwatanapataphee Y. H. Wu |
| author_facet | N. Khajohnsaksumeth B. Wiwatanapataphee Y. H. Wu |
| author_sort | N. Khajohnsaksumeth |
| collection | DOAJ |
| description | We investigate the effect of boundary slip on the transient pulsatile fluid flow through a vessel with body acceleration. The Fahraeus-Lindqvist effect, expressing the fluid behavior near the wall by the Newtonian fluid while in the core by a non-Newtonian fluid, is also taken into account. To describe the non-Newtonian behavior, we use the modified second-grade fluid model in which the viscosity and the normal stresses are represented in terms of the shear rate. The complete set of equations are then established and formulated in a dimensionless form. For a special case of the material parameter, we derive an analytical solution for the problem, while for the general case, we solve the problem numerically. Our subsequent analytical and numerical results show that the slip parameter has a very significant influence on the velocity profile and also on the convergence rate of the numerical solutions. |
| format | Article |
| id | doaj-art-6d51448dca25462ba576742e5ea1e6ea |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6d51448dca25462ba576742e5ea1e6ea2025-08-20T02:06:12ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/858597858597The Effect of Boundary Slip on the Transient Pulsatile Flow of a Modified Second-Grade FluidN. Khajohnsaksumeth0B. Wiwatanapataphee1Y. H. Wu2Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, AustraliaDepartment of Mathematics, Mahidol University, Faculty of Science, Bangkok 10400, ThailandDepartment of Mathematics and Statistics, Curtin University, Perth, WA 6845, AustraliaWe investigate the effect of boundary slip on the transient pulsatile fluid flow through a vessel with body acceleration. The Fahraeus-Lindqvist effect, expressing the fluid behavior near the wall by the Newtonian fluid while in the core by a non-Newtonian fluid, is also taken into account. To describe the non-Newtonian behavior, we use the modified second-grade fluid model in which the viscosity and the normal stresses are represented in terms of the shear rate. The complete set of equations are then established and formulated in a dimensionless form. For a special case of the material parameter, we derive an analytical solution for the problem, while for the general case, we solve the problem numerically. Our subsequent analytical and numerical results show that the slip parameter has a very significant influence on the velocity profile and also on the convergence rate of the numerical solutions.http://dx.doi.org/10.1155/2013/858597 |
| spellingShingle | N. Khajohnsaksumeth B. Wiwatanapataphee Y. H. Wu The Effect of Boundary Slip on the Transient Pulsatile Flow of a Modified Second-Grade Fluid Abstract and Applied Analysis |
| title | The Effect of Boundary Slip on the Transient Pulsatile Flow of a Modified Second-Grade Fluid |
| title_full | The Effect of Boundary Slip on the Transient Pulsatile Flow of a Modified Second-Grade Fluid |
| title_fullStr | The Effect of Boundary Slip on the Transient Pulsatile Flow of a Modified Second-Grade Fluid |
| title_full_unstemmed | The Effect of Boundary Slip on the Transient Pulsatile Flow of a Modified Second-Grade Fluid |
| title_short | The Effect of Boundary Slip on the Transient Pulsatile Flow of a Modified Second-Grade Fluid |
| title_sort | effect of boundary slip on the transient pulsatile flow of a modified second grade fluid |
| url | http://dx.doi.org/10.1155/2013/858597 |
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