MAGNETO HYDRODYNAMIC EFFECTS ON AN ATHEROSCLEROTIC ARTERY—A THEORETICAL STUDY - Theoretical and Computational Research in the 21st Century - page 62

analysis of the problem of hematocrit reduction (due to plasma skimming)
in a capillary emerging from the parent artery making an angle α with the
parent artery. The study deals with both steady and pulsatile fl ow of blood
treated as a non-Newtonian fl uid of Herschel-Bulkley type. The study re-
vealed that the velocity of blood in the parent artery reduces when the fl uid
index ( n )/yield stress increases.
The same nature of variation was found for volumetric fl ow rate of
blood in the capillary. Nanda and Basu Mallik [15] presented a theoreti-
cal study for the distribution of axial velocity for blood fl ow in a branch
capillary emerging out of a parent artery at various locations of the branch.
The results are computed for various values of r and the angle made by
the branch capillary with the parent artery. Also, due attention was given
to the variation of n (fl uid index parameter). A theoretical estimate for the
velocity of blood for various non-negative values of the fl uid index pa-
rameter and the yield stress in different locations is presented. Mandal et
al. [16] proposed that the most characteristic bio-magnetic fl uid is blood,
which behaves as a magnetic fl uid, due to the complex interaction of the
intercellular protein, cell membrane, and the hemoglobin, a form of iron
oxides, which is present at a uniquely high concentration in the mature red
blood cells, while its magnetic property is affected by factors such as the
state of oxygenation. It is found that the erythrocytes orient with their disk
plane parallel to the magnetic fi eld and also that blood possesses the prop-
erty of diamagnetic material when oxygenated and paramagnetic when
deoxygenated. Abbas et al. [17] investigated two-dimensional magneto
hydrodynamic (MHD) fl ow of upper convicted Maxwell fl uid in a porous
channel. Arterial wall shear stress is considered to be an important factor
in the localization of atherosclerosis. A mathematical model to study the
effect of porous parameter and height of stenosis on the wall shear stress
has been studied by Misra and Verma [18]. A mathematical analysis of
MHD fl ow of blood in very narrow capillaries in the presence of stenosis
has been studied by Jain et al. [19]. It is assumed that the arterial segment
is a cylindrical tube with time-dependent multistenosis. In the proposed
investigation, an attempt will be made to deal with a problem, considering
hemodynamic and cardiovascular disorders due to non-Newtonian fl ow
of blood in multistenosed arteries. It gives us an opportunity to consider
the problem of blood fl ow through a stenosed segment of an artery where
the rheology of blood is described by Herschel-Bulkley fl uid model. The
dispensability of an arterial wall has been accounted for based on local