小血管血流速度分布的一种计算方法

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A Calculation Method of Blood Flow Velocity Distribution in Smaller Blood Vessels

摘要: 本文所提出的计算方法,其基础是对血液流动微连续统模型作了一种边界条件的改进,设想了血管内壁面上血细胞速度可能不为零.对于由Eringen所提出的关于刚性圆管中稳态血液流动方程,假设了血管内壁面上血细胞的旋转速度,及血细胞旋转速度分布曲线在管轴处的斜率,导出了计算血管中速度分布曲线的方法,并将按此理论计算而得的曲线与Bugliarello和Hayden在实验中测得的分布曲线及由Turk,Sylvester和Ariman所提出的计算公式的结果相比较.

Abstract: The calculative method presented in this paper is based on an improvement of boundary conditions for a micro-continuum fluid model with blood flow assuming that the blood cell velocity at blood vessel wall is unequal to zero.As for steady state flood flow equation (flow in vitre-a rigid circular tube) presented by Eringen, the magnitude of the blood cell gyroscopic velocity at blood vessel wall and the slope of the blood cell gyroscopic velocity distribution curve at the axis of the blood vessel are assumed. From the above-mentioned assumptions the calculating method of velocity distribution curve in blood vessel is derived. The curve calculated by this method is compared with the test curve measured by Bugliarello and Hayden.Tho results obtained by Turk, Sylvester and Ariman as well as with this method are compared with each other, too.

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