Effect of externally applied transverse magnetic field on blood flow in tapered stenosed artery: by Frobenius method

The role of flow parameters of blood is very important in maintaining proper functioning of heart and in turn health body. Herschel–Bulkley fluid model is used for the proposed one-fluid blood flow model. The behavior of important blood flow characteristics wall shear stress, volumetric flow rate and axial velocity of the flow in tapered mild stenosed artery in the presence of externally applied transverse magnetic field is studied. A combination of analytical and numerical methods is used to solve the mathematical model of the system. We report the importance constant/variable viscosity of blood on unsteady flow in the proposed artery. Numerical results are reported for different values of the physical parameters of interest. It is observed with the help of graphs, that the flow characteristics wall shear stress, volumetric flow rate and axial velocity are affected in tapered stenosed artery and flow can be regulated with the help externally applied transverse magnetic field.

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Study of Two-Phase Unsteady Model of Blood Flow in a Tapered Stenosed Artery in the Presence of Externally Applied Transverse Magnetic Field

2018 IEEE Punecon ◽

10.1109/punecon.2018.8745439 ◽

2018 ◽

Author(s):

Veena Beleyur Sreenivasa ◽

Arundhati Suresh Warke

Keyword(s):

Magnetic Field ◽

Blood Flow ◽

Transverse Magnetic Field ◽

Transverse Magnetic ◽

Two Phase ◽

Stenosed Artery

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The flow behaviour of blood in two-phase time-dependent tapered stenosed artery in the presence of transverse magnetic field

Journal of Mathematical and Computational Science ◽

10.28919/jmcs/5101 ◽

2021 ◽

Keyword(s):

Magnetic Field ◽

Transverse Magnetic Field ◽

Transverse Magnetic ◽

Flow Behaviour ◽

Time Dependent ◽

Two Phase ◽

Phase Time ◽

Stenosed Artery

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Study of Blood Flow with Effects of Slip in Arterial Stenosis Due to Presence of Transverse Magnetic Field

INTERNATIONAL JOURNAL OF MANAGEMENT & INFORMATION TECHNOLOGY ◽

10.24297/ijmit.v4i2.1902 ◽

2013 ◽

Vol 4 (2) ◽

pp. 215-226

Author(s):

Sarfraz Ahmed

Keyword(s):

Magnetic Field ◽

Reynolds Number ◽

Blood Flow ◽

Transverse Magnetic Field ◽

Hartmann Number ◽

Fluid Velocity ◽

Equations Of Motion ◽

Circulatory System ◽

Transverse Magnetic ◽

Arterial Stenosis

The flow of blood in human circulatory system can be controlled by applying appropriate magnetic field. It is also well known that non-Newtonian nature of blood significantly influences the flows, particularly in the cases where blood vessels are curved, branching or narrow etc. Stenosis refers to localized narrowing of an artery and is a frequent result of arterial disease and is caused mainly due to intravascular atherosclerotic plaque which develops at the arterial wall and protrudes into the lumen of the vessel. Such constrictions disturb normal blood flow through the artery. Here study is made on the flow of blood through a stenosed artery with the effect of slip at the boundary in presence of transverse magnetic field considering blood as Casson fluid (non- Newtonian fluid). The equations of motion has have been solved numerically. The effect of various parameters on the flow characteristics like Hartmann number, Reynolds number has been discussed. Numerical results were obtained for different values of the Hartmann number M and Reynolds number Re. It is observed that the fluid velocity decreases as the Hartmann number increases.

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