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Mathematical analysis of non-Newtonian blood flow in stenosis narrow arteries.

Sriyab S - Comput Math Methods Med (2014)

Bottom Line: When skin friction and resistance of blood flow are normalized with respect to Newtonian blood in stenosis artery, the results present the effect of non-Newtonian blood.The resistance of blood flow (when normalized by non-Newtonian blood in normal artery) increases when either the plasma viscosity coefficient or the yield stress increases, but it decreases with the increase of stenosis length.The resistance of blood flow (when normalized by Newtonian blood in stenosis artery) decreases when either the plasma viscosity coefficient or the yield stress increases, but it decreases with the increase of stenosis length.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand.

ABSTRACT
The flow of blood in narrow arteries with bell-shaped mild stenosis is investigated that treats blood as non-Newtonian fluid by using the K-L model. When skin friction and resistance of blood flow are normalized with respect to non-Newtonian blood in normal artery, the results present the effect of stenosis length. When skin friction and resistance of blood flow are normalized with respect to Newtonian blood in stenosis artery, the results present the effect of non-Newtonian blood. The effect of stenosis length and effect of non-Newtonian fluid on skin friction are consistent with the Casson model in which the skin friction increases with the increase of either stenosis length or the yield stress but the skin friction decreases with the increase of plasma viscosity coefficient. The effect of stenosis length and effect of non-Newtonian fluid on resistance of blood flow are contradictory. The resistance of blood flow (when normalized by non-Newtonian blood in normal artery) increases when either the plasma viscosity coefficient or the yield stress increases, but it decreases with the increase of stenosis length. The resistance of blood flow (when normalized by Newtonian blood in stenosis artery) decreases when either the plasma viscosity coefficient or the yield stress increases, but it decreases with the increase of stenosis length.

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Variation of resistance of blood flow  with stenosis height a for the different values of L0/L.
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fig18: Variation of resistance of blood flow with stenosis height a for the different values of L0/L.

Mentions: The plot of resistance of blood flow with the height of stenosis (a) for different values of plasma viscosity coefficient is sketched in Figure 17. It is indicated that the resistance of blood flow decreases marginally with increase of plasma viscosity coefficient. Figure 18 shows the variation of resistance of blood flow with height of stenosis (a) for the different values of L0/L. It is informed that resistance of blood flow increases significantly with the increase of stenosis length. The variation of resistance of blood flow with height of stenosis (a) for different values of yield stress is plotted in Figure 19. We found that the resistance of blood flow decreases marginally with increase of yield stress.


Mathematical analysis of non-Newtonian blood flow in stenosis narrow arteries.

Sriyab S - Comput Math Methods Med (2014)

Variation of resistance of blood flow  with stenosis height a for the different values of L0/L.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4281458&req=5

fig18: Variation of resistance of blood flow with stenosis height a for the different values of L0/L.
Mentions: The plot of resistance of blood flow with the height of stenosis (a) for different values of plasma viscosity coefficient is sketched in Figure 17. It is indicated that the resistance of blood flow decreases marginally with increase of plasma viscosity coefficient. Figure 18 shows the variation of resistance of blood flow with height of stenosis (a) for the different values of L0/L. It is informed that resistance of blood flow increases significantly with the increase of stenosis length. The variation of resistance of blood flow with height of stenosis (a) for different values of yield stress is plotted in Figure 19. We found that the resistance of blood flow decreases marginally with increase of yield stress.

Bottom Line: When skin friction and resistance of blood flow are normalized with respect to Newtonian blood in stenosis artery, the results present the effect of non-Newtonian blood.The resistance of blood flow (when normalized by non-Newtonian blood in normal artery) increases when either the plasma viscosity coefficient or the yield stress increases, but it decreases with the increase of stenosis length.The resistance of blood flow (when normalized by Newtonian blood in stenosis artery) decreases when either the plasma viscosity coefficient or the yield stress increases, but it decreases with the increase of stenosis length.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand.

ABSTRACT
The flow of blood in narrow arteries with bell-shaped mild stenosis is investigated that treats blood as non-Newtonian fluid by using the K-L model. When skin friction and resistance of blood flow are normalized with respect to non-Newtonian blood in normal artery, the results present the effect of stenosis length. When skin friction and resistance of blood flow are normalized with respect to Newtonian blood in stenosis artery, the results present the effect of non-Newtonian blood. The effect of stenosis length and effect of non-Newtonian fluid on skin friction are consistent with the Casson model in which the skin friction increases with the increase of either stenosis length or the yield stress but the skin friction decreases with the increase of plasma viscosity coefficient. The effect of stenosis length and effect of non-Newtonian fluid on resistance of blood flow are contradictory. The resistance of blood flow (when normalized by non-Newtonian blood in normal artery) increases when either the plasma viscosity coefficient or the yield stress increases, but it decreases with the increase of stenosis length. The resistance of blood flow (when normalized by Newtonian blood in stenosis artery) decreases when either the plasma viscosity coefficient or the yield stress increases, but it decreases with the increase of stenosis length.

Show MeSH
Related in: MedlinePlus