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Magnetic field effect on heat transfer and fluid flow characteristics of blood flow in multi-stenosis arteries

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Abstract

Heat and fluid flow characteristics of blood flow in multi-stenosis arteries in the presence of magnetic field is considered. A mathematical model of the multi-stenosis inside the arteries is introduced. A finite difference scheme is used to solve the governing equations in terms of vorticity-stream function along with their boundary conditions. The effect of magnetic field and the degree of stenosis on wall shear stress and Nusselt number is investigated. It was found that magnetic field modifies the flow patterns and increases the heat transfer rate. The severity of the stenosis affects the wall shear stress characteristics significantly. The magnetic field torque will increase the thermal boundary layer thickness and the temperature gradient in the streaming blood, and hence increasing the local Nusselt number

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Abbreviations

B :

magnetic flux intensity, Weber/m2

C f :

friction factor

C p :

specific heat of blood, kJ/kg K

D o :

diameter of the artery, m

E :

electric field intensity, V/m

Ec :

Eckert number

Ha :

Hartmann number

J :

current density, Amp/m2

L :

artery length, m

k :

thermal conductivity of blood, W/m K

p :

pressure, Pa

Pr :

Prandtl number

R o :

dimensional radius of the artery, m

Re :

Reynolds number

T W :

wall temperature, K

t:

time, s

u :

axial velocity, m/s

U :

dimensionless axial velocity

U 0 :

average velocity at inlet, m/s

v :

radial component of velocity, m/s

V :

dimensionless radial velocity

x :

axial coordinate, m

r :

radial coordinate, m

\({X,\hat{r}}\) :

dimensionless coordinates

η:

transverse coordinate in physical domain

μ:

dynamic viscosity of blood, Kg/m s

θ:

non-dimensional temperature

ρ:

density of blood, Kg/m3

σ:

electrical conductivity, \({\frac{1}{{\Omega {\rm m}}}}\)

τ:

shear stress at wall, N/m2

α:

degree of stenosis, %

ω:

vorticity function defined in Eq. 13

ψ:

stream function

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Authors and Affiliations

  1. Mechanical Engineering Department, JUST, P.O. Box 3030, Irbid, 22110, Jordan

    Bourhan Tashtoush & Ahmad Magableh

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  1. Bourhan Tashtoush
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  2. Ahmad Magableh
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Correspondence to Bourhan Tashtoush.

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Tashtoush, B., Magableh, A. Magnetic field effect on heat transfer and fluid flow characteristics of blood flow in multi-stenosis arteries. Heat Mass Transfer 44, 297–304 (2008). https://doi.org/10.1007/s00231-007-0251-x

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  • DOI: https://doi.org/10.1007/s00231-007-0251-x

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