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Figure (11.6) shows that with respect to the different rheological pa-
rameters in Casson fl uid model, the different increasing magnetic fi eld
intensity and radial distance of artery affect the shear stress of blood in
atherosclerosis signifi cantly and increase mildly with the parameters.
11.4 CONCLUSION
The rheology of blood through narrow stenosed arterial segments with an
externally applied magnetic field has been studied in this analysis, treat-
ing blood as a Casson fluid. It is observed that the magneto hydrodynamic
parameter, radius of stenosis, flow velocity, and Casson fluid parameters
are the strong parameters influencing the flow and flow characteristics
qualitatively and quantitatively. It is interesting to note that the different
increasing magnetic field intensity and radial distance of artery affects
the shear stress, volumetric flow rate, and velocity of flow. As expected,
axial velocity and flow rate both reveal an increasing tendency with the
increasing magnetic field intensity but shear stress decreases due to MHD
effects. This study is more useful for the purpose of simulation and valida-
tion of different models in different conditions of arteriosclerosis. Also, it
is expected that the analytical study will help the physicians to estimate
the severity of stenosis and its consequences. Thus, this may help in taking
decisions regarding the treatment of the patients. This study can be further
extended by the introduction of more rheological and physical parameters
in the analysis. Thus, the model developed in this chapter will throw light
on the clinical treatment of the obstruction of fluid movement due to for-
mulation of multiple stenoses in the arterial system.
KEYWORDS
•
Casson fluid
•
MHD effect
•
Volumetric flow rate
•
Stenosis
•
Slip velocity
•
Shear stress
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