Saktipada Nanda ,Ratan Kumar Bose ,



stenosis,blood flow ,heat transfer ,magnetic field,


The mathematical analysis presents the study of heat transfer and magneto hydrodynamic effects on pulsatile flow of blood through geometrically irregular arterial system, and its effects on cardiovascular disorder and arterial diseases. Considering the influence of magnetic field on the steno- tic artery, the effect of transverse magnetic field and multi-stenosis on the blood flow in blood vessels is studied theoretically. The blood flow is considered to be axi-symmetric with an outline of the irregular stenosis obtained from a three-dimensional casting of mild stenosed artery, so that the physical problem becomes more realistic from the physiological point of view. The MARKER AND CELL (MAC) and SUCCESSIVE –OVER-RELAXATION (SOR) methods are respectively used to solve the governing unsteady magneto-hydrodynamic equations and pressure-Poisson equation numerically. The present observations certainly have some clinical implications relating to magneto-therapy. It may help reducing the complex flow separations zones causing flow disorder and leading to the formation and propagation of the arterial diseases and cardiovascular disorders.


I. Misra, J. C., Chakravarty, S., Flow in arteries in the presence of stenosis, J. Biomech. 19 (1986), pp. 907-918.

II. Misra, J. C., Shit, G. C. and Rath, H. G.., Flow and heat transfer of a MHD viscoelastic fluid in a channel with stretching walls: some applications to haemodynamics.(computers and fluids)-37 (2008) pp.1-11.

III. Vershney Gourav, Katiyar, V. K. and Kumar Susil, Effect of magnetic field on the blood flow in artery having multiple stenosis:a numerical study.(International journal of tech.) vol.2no2, 2010 , pp67-82.

IV. Mondal Prasanta Kumar, An unsteady analysis of non-Newtonian blood flow through tapered arteries with a stenosis40. (International journal of non-linear mechanics) (2005), pp. 151-164.

V. Chaturani, Samy, P. R. P., A study of non-Newtonian aspects of blood flow through stenosed arteries and its applications in arterial diseases, Biorheology 22 (1985), pp. 521-531.

VI. Nanda Saktipada: Mathematical Analyses of some problems of applied mechanics having application in physiological systems. Final Report, MRP-UGC (10th Plan).

VII. Sud, V.K and Sekhon, G.S. 1989 Blood flow through the human arterial system in the presence of a steady magnetic field.Phys.Med.Biol vol34,no 7 pp. 795-805 .

VIII. Walters .K. : Second order effects in elasticity, plasticity and fluid dynamics. Pergamon; 1964.

IX. Young .D.F. Shukla : Fluid mechanics of arterial stenosis, J. Biomech. Trans ASME 101 (1986) 907-918.

X. Singh Bijendra, Joshi Padma and B. K.: Blood Flow through an Artery Having Radially Non-Symmetric Mild Stenosis. Applied Mathematical Sciences, Vol. 4, 2010, no. 22, 1065 – 1072

XI. Shailesh Mishra, S.U. Siddiqui and Amit Medhavi: Blood Flow through a Composite Stenosisin an Artery with Permeable Wall. Applications and Applied Mathematics, Vol. 6, Issue 11 (June 2011) pp. 1798 – 1813.

XII. Razavi Modarres M. R., Seyedein S.H. and Shahabi P. B. : Numerical Study of Hemodynamic Wall Parameters on Pulsatile Flow through Arterial Stenosis. IUST International Journal of Engineering Science, Vol.17, No.3-4, 2006, Page 37-46.

Saktipada Nanda,Ratan Kumar Bose View Download