Mathematical analysis of non-Newtonian blood flow in stenosis narrow arteries.
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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.
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PubMed Central - PubMed
Affiliation: Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand.
ABSTRACT
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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. Related in: MedlinePlus |
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Mentions: Figure 4 shows the variation of blood flow rate (Q) with axial distance z for the different values of the yield stress (τc). We can notice that the blood flow rate decreases very slightly with increase of the yield stress. The variation of blood flow rate with z-axis for different values of plasma viscosity coefficient (k1) is plotted in Figure 5. It is observed that the blood flow rate decreases marginally with increase of plasma viscosity coefficient. |
View Article: PubMed Central - PubMed
Affiliation: Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand.