Date post: | 04-Jan-2016 |
Category: |
Documents |
Upload: | ernest-dennis |
View: | 212 times |
Download: | 1 times |
Mathematical model of blood flow in small blood vessel in the presence of magnetic field
Dr. Sarreshtehdari
Hojjat raznahan
1/9
plasma Red blood cellBlood
White blood cell
platelets
description
history
model
Reference
2/9
attract negative ions
Walls of the arteries
Proteins(-)
3/9
cardiovascularMagnetic Field Aspirin
bio-magneticRBC
description
history
model
Reference
Single-phaseHomogeneous
Newtonian viscous
Large arteries
4/9
description
history
model
Reference
Non-Newtonian
D↓ → µ↓
external bodyacceleration
Two-phase
Cell free layer
5/9
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
6/9
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
7/9
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
8/9
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.
9/9
description
history
model
Reference