Mathematical model of blood flow in small blood vessel in the presence of magnetic field

Dr. Sarreshtehdari

Hojjat raznahan

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plasma Red blood cellBlood

White blood cell

platelets

description

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model

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attract negative ions

Walls of the arteries

Proteins(-)

 

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cardiovascularMagnetic Field Aspirin

bio-magneticRBC

description

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Single-phaseHomogeneous

Newtonian viscous

Large arteries

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description

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Non-Newtonian

D↓ → µ↓

external bodyacceleration

Two-phase

Cell free layer

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Anomalous

Suspension of particles in

plasma

Larger diameter at high shear rate → Newtonian fluidD>1mm → µ independent DD<1mm → µ dependent D description

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Thurston

Cell-free plasma (Newtonian fluid)

Suspension of all the erythrocytes

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description

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model

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pu fu

1R

0u

R

assumptions

1. Newtonian Viscous

2. Incompressible

3. Electrically conducting

4. Steady

5. Laminar

6. Magnetic field Non-constant

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description

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0 0uPr

z r r r

2

2

10 (1 ) ( ) ( )f f

s d p f

u uPF u u

z r r r

00 ( )d p f p

P dHF u u K M

z dz

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description

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Reference

1. R.Bali, U.Awasthi, “mathematical model of blood flow in small blood vessel in the presence of magnetic field, 2011, pp. 264-269

2. V. P. Srivastava and R.Srivastava, “Particulate Suspension Blood Flow Through a Narrow Catheterized Artery,” Computers & Mathematics with Applications, Vol. 58, No. 2, 2009, pp. 227-238

3. I. H. Chen, “Analysis of an Intensive Magnetic Field on Blood Flow: Part-2,” Journal of Bioelectronics, Vol. 4, No. 1, 1985, pp. 55-61.

4. V. P. Srivastava, “A Theoretical Model for Blood Flow in Small

Vessels,” International Journal of Application and Applied Mathematics, Vol. 2, No. 1, 2007, pp. 51-65.

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description

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model

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