Sagayamary, RV and Devanathan, R (1989) Steady flow of couple stress fluid through tubes of slowly varying cross-sections--application to blood flows. In: Biorheology, 26 (4). pp. 753-769.
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Steady laminar flow of a non-Newtonian fluid based on couple stress fluid theory, through narrow tubes of varying cross-sections has been studied theoretically. Asymptotic solutions are obtained for the basic equations and the expressions for the velocity field and the wall shear stress are derived for a general cross-section. Computation and discussions are carried out for the geometries which occur in the context of physiological flows or in particular blood flows. The tapered tubes and constricted tubes are of special importance. It is observed that increase in certain parameters results in erratic flow behaviour proximal to the constricted areas which is further enhanced by the increase in the geometric parameters. This elucidates the implications of the flow in the development of vascular lesions.
| Item Type: | Journal Article |
|---|---|
| Publication: | Biorheology |
| Publisher: | IOS Press |
| Additional Information: | Copyright of this article belongs to IOS Press. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 19 Oct 2010 07:30 |
| Last Modified: | 16 Oct 2018 08:40 |
| URI: | http://eprints.iisc.ac.in/id/eprint/33256 |
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