Microcontinuum model for pulsatile blood flow through a stenosed tube

Article type: Research Article

Authors: Chaturani, P. | Palanisamy, V.

Affiliations: Department of Mathematics, Indian Institute of Technology, Powai, Bombay 400076, India

Note: [] Accepted by: Editor P. Riha

Abstract: The effects of polar nature of blood and pulsatility on flow through a stenosed tube have been analysed by assuming blood as a micropolar fluid. Linearized solutions of basic equations are obtained through consecutive applications of finite Hankel and Laplace transforms. The analytical expressions for axial and particle angular velocities, wall shear stress, resistance to flow and apparent viscosity have been obtained. The axial velocity profiles for Newtonian and micropolar fluids have been compared. The interesting observation of this analysis is velocity, in certain parts of cycle, for micropolar fluid is higher than Newtonian fluid. Variation of apparent viscosity ηa with tube radius shows both inverse Fahraeus-Lindqvist and Fahraeus-Lindqvist effects. Finally, the resistance to flow and wall shear stress for normal and diseased blood have been computed and compared.

Keywords: Pulsatile blood flow, Blood rheology, Stenosed tubes

DOI: 10.3233/BIR-1989-26414

Journal: Biorheology, vol. 26, no. 4, pp. 835-846, 1989