An Analysis of the Flow of Blood through Narrow Tapered Tubes

Pradeep Kumar Singh; Anil Kumar Trivedi

doi:https://doi.org/10.14445/22315373/IJMTT-V52P592

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 10 | Year 2017 | Article Id. IJMTT-V52P592 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P592

An Analysis of the Flow of Blood through Narrow Tapered Tubes

Pradeep Kumar Singh, Anil Kumar Trivedi

Citation :

Pradeep Kumar Singh, Anil Kumar Trivedi, "An Analysis of the Flow of Blood through Narrow Tapered Tubes," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 10, pp. 640-644, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P592

Abstract

In the present analysis, we have studied the flow of blood through a uniform tapered tube assuming it obeys Bingham fluid model. The wall shear stress and pressure gradient have been obtained. The variations of pressure gradient and wall shear stress are shown in tables.

Keywords

Bingham fluid model, Pressure gradient, Wall shear stress, Tapered, Tapered Tube, Tapered angle.

References

[1] Ariman T, Turk , M.A.Sylvester, N.D, On steady and pulsatile flow of blood , Jr., Appl. Mech., Vol. 41 (1), pp. 1-7 1974.
[2] Block, E.H., A quantitative study of hemodynamics in the living microvascular system , Amer. Jr. Anat, Vol. 110, pp 125- 145, 1962.
[3] Bugliaarello.G and Sevila, The peripheral plasma layer in pulsatile flow in hollow glass fibers, Jr. Ad. In Microcirculation, Vol. 2, Karger , N.Y p 80 1969.
[4] Charm, S.E., Kurland , G.S. and Brown, S.L: Jr. Biorheo; Vol.5 p 15, 1968.
[5] Chatur ni , P. and Phalhad , R.N: Jr. Biorheology, Vol. 22 p 303, 1985.
[6] Dwivedi, A.P, PAL, T.S. and Rakesh, Micropolar fluid model for blood flowing though small taper tube, Ind. Jr. Technol, Vol. 20 p 295, 1982. [7] Iida , N. and Murata, T; Jr. Biorheology, Vol. 17, p 377, 1990.
[8] Jeffords, J.V and Knisely, M.H ; Jr. Angiology, Vol. 7, p 105, 1956.
[9] Nishimura, J. and Oka, S; The steady flow of a viscous fluid though a tapered tube, Jr. Phys. Soc. Japan, Vol. 20 p 449, 196.5 [10] Womersely, J.R; Jr. Physiol; Vol. 127, pp 553-563, 1955.
[11] Chakravarthy S. and Mandal , P. K , Two dimentional blood flow through tapered arteries under stenotic condition , Jr. Int. Non linear Mechanics, Vol. 35 pp 779-793 2000.