Publication: The effect of boundary slip on the transient pulsatile flow of a modified second-grade fluid
Issued Date
2013-10-21
Resource Type
ISSN
16870409
10853375
10853375
Other identifier(s)
2-s2.0-84885668801
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Mahidol University
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SCOPUS
Bibliographic Citation
Abstract and Applied Analysis. Vol.2013, (2013)
Suggested Citation
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. Vol.2013, (2013). doi:10.1155/2013/858597 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/32015
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Title
The effect of boundary slip on the transient pulsatile flow of a modified second-grade fluid
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Abstract
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. © 2013 N. Khajohnsaksumeth et al.