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关于非牛顿血液在弹性动脉中流动的数学研究。

A mathematical study of non-Newtonian blood flow through elastic arteries.

作者信息

Mazumdar J, Ang K C, Soh L L

机构信息

Department of Applied Mathematics, University of Adelaide, South Australia.

出版信息

Australas Phys Eng Sci Med. 1991 Jun;14(2):65-73.

PMID:1747083
Abstract

Existing models of blood flow through arteries are revisited. Non-Newtonian and viscous properties are also considered. Treating blood as a non-Newtonian, pseudoplastic fluid obeying the power law, the flow equations are rigorously derived, using the same principles applied in existing models. An appropriate and more physically and physiologically correct model is obtained. Another model in exponential form is also derived. The resulting equations are solved numerically for a range of parameters and the various graphs are compared.

摘要

对现有的动脉血流模型进行了重新审视。同时也考虑了非牛顿特性和粘性特性。将血液视为服从幂律的非牛顿假塑性流体,运用与现有模型相同的原理严格推导了流动方程。得到了一个更合适、在物理和生理上更正确的模型。还推导了一个指数形式的模型。针对一系列参数对所得方程进行了数值求解,并对各种图表进行了比较。

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