Effects of couple stresses on the blood flow through an artery with mild stenosis

Article type: Research Article

Authors: Sinha, Prawal^a | Singh, Chandan^b

Affiliations: [a] Department of Mathematics, Indian Institute of Technology, Kanpur-208016, India | [b] Mathematics, Statistics and Computer Group Research and Development Centre, Jyoti Limited, Vadodara-390003, India

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

Abstract: An analysis of the effects of couple stresses on the blood flow through thin artery in the presence of very mild stenosis has been carried out with the help of two nondimensional parameters, α¯ (the length ratio parameter) and η¯ (the parameter characterizing the antisymmetric property of the couple stress tensor). It is shown that an increase in the couple stress (small value of α¯ and η¯), increases the resistance to the flow and the wall shear stress. These characteristics are further enhanced by the presence of the stenosis.

Keywords: Couple stresses, blood flow, artery, arterial stenosis

DOI: 10.3233/BIR-1984-21302

Journal: Biorheology, vol. 21, no. 3, pp. 303-315, 1984