A two-fluid model for blood flow through small diameter tubes with non-zero couple stress boundary condition at interface

Article type: Research Article

Authors: Chaturani, P.^a | Upadhya, V.S.^a | Mahajan, S.P.^b

Affiliations: [a] Department of Mathematics, Indian Institute of Technology, Powai, Bombay 400 076, India | [b] Department of Chemical Engineering, Indian Institute of Technology, Powai, Bombay 400 076, India

Note: [] Accepted by: Editor J.C. Healy

Abstract: The present problem deals with a two-fluid model for blood flow through narrow tubes. The model basically consists of a core (substructured continuum) and a peripheral layer of plasma (Newtonian fluid). A new boundary condition has been introduced which takes into account a more realistic situation, that is, non-zero couple stresses at the interface. Analytical expressions have been obtained for axial velocity relative particle spin flow rate and apparent viscosity. A critical study of other theoretical models and their comparison with the present model has been presented. Further, the results of the present model are in reasonably good agreement with the experimental observations. It is of interest to note that the present model can be used to explain Segre-Silberberg effect, Fahraeus-Lindquist effect and blunting of velocity profiles whereas most of the other models can explain only one or two of these anomalies.

Keywords: Viscosity, velocity profiles, blood flow

DOI: 10.3233/BIR-1981-18206

Journal: Biorheology, vol. 18, no. 2, pp. 245-253, 1981