Some comments on “Poiseuille flow of a fluid with couple stress with applications to blood flow”

Article type: Research Article

Authors: Chaturani, P.^{; *}

Affiliations: Department of Mathematics, University of Windsor, Ontario, Canada

Note: [*] Present address: Dept. of Mathematics, I.I.T. Bombay 400-076, India.

Abstract: Recently Valanis and Sun, Biorheology 6, (1969), 85 have studied the Poiseuille flow with couple stress. While obtaining velocity profiles for various values of non-dimensional couple stress parameters α¯ and η¯, they somehow find that for η¯ = 0.5 the critical value of α¯, for which flow velocity is identically zero, is 0.45. Our numerical computations show that the flow velocity is not identically zero for these values of α¯ and η¯. Figures 4 and 7 of (Valanis, K.C. and Sun, C.T. Biorheology 6, (1969), 85) clearly indicate that the critical value of α¯ depends on η¯. In the present note, it is analytically shown that the critical value of α¯ is zero and it is independent of η¯. Due to this almost all the figures of (Valanis, K.C. and Sun, C.T. Biorheology 6, (1969), 85) will change; the corresponding correct figures are given and the conclusions are accordingly modified.

DOI: 10.3233/BIR-1976-13207

Journal: Biorheology, vol. 13, no. 2, pp. 133-136, 1976