Mathematical model of blood flow in small blood vessel in the presence of magnetic field Dr....
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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
history
model
Reference
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attract negative ions
Walls of the arteries
Proteins(-)
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cardiovascularMagnetic Field Aspirin
bio-magneticRBC
description
history
model
Reference
Single-phaseHomogeneous
Newtonian viscous
Large arteries
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description
history
model
Reference
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
history
model
Reference
Thurston
Cell-free plasma (Newtonian fluid)
Suspension of all the erythrocytes
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description
history
model
Reference
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
history
model
Reference
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
history
model
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
history
model
Reference