Engineering Transactions, 43, 3, pp. 475-486, 1995

On Micropolar Fluid Model for Blood Flow Through an Artery with Mild Stenosis

K.N. Dey
Department of Mathematics, H.M.M. College for Women, Dakshineswar, Calcutta

H.P. Mazumdar
Physics and Applied Mathematics Unit, Indian Statistical Institute, Calcutta

Blood flow through an artery with various shapes of mild constrictions has been analysed by characterising it as a micropolar fluid. Microsfructural effects on the pressure gradient, resistance to the flow and the wall shear stress are determined. The results are numerically computed and discussed.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


G.R. COKELET, The rheology of human blood, [in:] Biomechanics - Its Foundation and Objectives, Y.C. FUNG et al. [Eds.], p-63, Englewood Cliffs, N.Y., Prentice-Hall 1972.

C.E. HUCKABA and A.W. HAHN, A generalized approach to the modeling of arterial blood flow, Bull. Math. Biophys., 30, 645, 1968.

G. BUGLIARELLO, Some aspects of the biomechanics of the microcirculation, Proc. 11th Midwestern Mechanics Conference, Div. Mech., 5, 921, 1969.

J.B. SHUKLA, R.S. PARIHAR and B.R.P. RAO, Effects of stenosis on non-Newtonian flow of the blood in an artery, Bull. Maths. Biol., 42, 283, 1980.

J.B. SHUKLA, R.S. PARIHAR and S.P. GUPTA, Effects of peripheral layer viscosity on blood flow through the artery with mild stenosis, Bull. Maths. Biol., 42, 797, 1980.

K. HALDER, Oscillatory flow of blood in a stenosed artery, Bull. Maths. Biol., 49, 3, 279, 1987.

K. HALDER and K.N. DEY, Effects of erythrocytes on the flow characteristics of blood in an indented lube, Arch. Mech., 42, 1, 109, 1990.

S. CHAKRAVARTY and A. GHOSH CHOWDHURY, Response of blood flow through an artery under stenotic conditions, Rheologica Acta, 27, 418, 1988.

A.C. ERINGEN, Simple microfluids, Int. J.Engng. Sci.1 2,205, 1964.

A.C. ERINGEN, Theory of micropolar fluids, 1. Math. Mech., 16, 1, 1966.

T. ARIMAN, M.A. TURK and N.D. SYLVESTER, On steady and pulsatile flow of blood, J. Appl. Mech., 41, 1, 1974.

C.K. KANG and A.C. ERINGEN, The effects of microstructure on the rheological properties of blood, Bull. Maths. Biol., 38, 135, 1976.

S. PARVATHAMMA and RATHNA DEVANTHAN, Microcontinuum approach to the pulsatile flow in tubes with and without longitudinal vibration, Bull. Maths. Biol., 45, 721, 1983.

P.N. TANDON and J.K. MISRA, Micro-structural and peripheral layer viscosity effects on the flow of blood through artery with mild stenosis, Proc. Nat. Acad. Sci. lndia, 57(A), 1, 1987.

C.M. RODKIEWICZ, Arteries and arterial blood flow, p-106-107, Springer Verlag, 1983.

S. OKA, Cardiovascular hemorheology, p.65, Cambridge University Press, 1981.

P.N. TANDON, J.K. MISRA and R.L. VERMA, Peripheral layer viscosity and microstructural effects on the capiliary - tissue fluid exchange, Math. Biosciences, 62, 7, 1982.

P. CHATURANI and V.S. UPADHYAY, On micropolar fluid model for blood through narrow tubes, Biorheology, 16, 419, 1979.

L. DINTENFASS, Blood microrheology vicosity factors in blood flow, Ischaemia and Thrombosis, Butterworths, London 1971.

D.J. THOMAS, J. MARSHALL, R.W.R. RUSSEL, G. WETHERLEY-MEIN, G.H. DU BOULAY, T.C. PEARSON, L. SNYDER and E. ZILKHA, Effect of hematocrit on cerebral blood flow in man, The Lancet, 2, 941, 1977.