Effects of multiple stenoses and poststenotic dilatation on non-Newtonian blood flow in small arteries
Effects of multiple stenoses and poststenotic dilatation on non-Newtonian blood flow in small arteries
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DOI：
10.1007/bf02513353
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发表时间：
1999-09-01
影响因子：
3.2
通讯作者：
Hamilton-Craig, I
中科院分区：
文献类型：
--
作者：
Pincombe, B;Mazumdar, J;Hamilton-Craig, I
完全发展的一维卡森流通过单一血管的变化半径被提出作为低雷诺数血流在小狭窄的冠状动脉模型。推导了阻力流比的公式，并得出了屈服应力tau(0) = 0,0.005和0.01 Nm(-2)，粘度mu = 3.45 x 10(-3), 4.00 x 10（-3）和4.55 x 10(-3) Pa的结果。S，通量为2.73 x 10（-6）、x 10（-5）和x 10(-4) m(3) S(-1)，对于半径为0.45 mm、长度为45 mm的段，每端有15 mm异常，半径变化最多为+/- 0.225 mm。当tau(0) = 0.005 N m（-2）时，mu = 4 × 10(-3) Pa。s和Q = 1时，阻流比的数值从两个异常段的最大半径均为0.675 mm时的= 0.525到最小半径均为0.225 mm时的= 3.06。随着屈服应力的增加或血液粘度或通量的降低，阻力-流量比趋于一致，并且这些变化的幅度在屈服应力时最大，而在通量时最小。
Fully-developed one-dimensional Casson flow through a single vessel of varying radius is proposed as a model of low Reynolds number blood flow in small stenosed coronary arteries. A formula for the resistance-to-flow ratio is derived, and results for yield stresses of tau(0) = 0, 0.005 and 0.01 Nm(-2), viscosities of mu = 3.45 x 10(-3), 4.00 x 10(-3) and 4.55 x 10(-3) Pa.s and fluxes of 2.73 x 10(-6), x 10(-5) and x 10(-4) m(3) s(-1) are determined for a segment of 0.45 mm radius and 45 mm length, with 15 mm abnormalities at each end where the radius varies by up to +/- 0.225 mm. When tau(0) = 0.005 N m(-2), mu = 4 x 10(-3) Pa.s and Q = 1, the numerical values of the resistance-to-flow ratio vary from = 0.525, when the maximum radii of the two abnormal segments are both 0.675 mm, to = 3.06, when the minimum radii are both 0.225 mm. The resistance-to-flow ratio moves closer to unity as yield stress increases or as blood viscosity or flux decreases, and the magnitude of these alterations is greatest for yield stress and least for flux.