A Theoretical Study of the Flow of Blood in a Capillary with Permeable Wall
A Theoretical Study of the Flow of Blood in a Capillary with Permeable Wall
复制标题
具有渗透壁的毛细血管内血液流动的理论研究
DOI：
10.1143/jjap.9.345
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发表时间：
1970
影响因子：
1.5
通讯作者：
T. Murata
中科院分区：
文献类型：
--
作者：
S. Oka;T. Murata
提出了血液在具有可渗透壁的毛细血管中稳定缓慢运动的流体动力学理论。假设流体在毛细管壁上的交换服从Starling假设，即单位面积壁面的流速与毛细管内外流体的压力差成正比。进一步假定通过毛细管壁的流速非常小。血液被认为是一种均匀的牛顿流体。得到了流速和压力在管内的分布表达式，以及单位时间内流过管内截面的流体体积。为了观察流体颗粒的运动，还得到了流线。从生理学的角度进行了讨论。
A hydrodynamical theory of the steady slow motion of blood through a capillary with a permeable wall is presented. It is assumed that the exchange of fluid across the capillary wall obeys Starling's hypothesis, that is, the rate of flow per unit area of the wall surface is proportional to the difference between the pressure of the fluid within and outside of the capillary. It is further assumed that the rate of flow across the capillary wall is very small. Blood is regarded as a homogeneous Newtonian fluid. The expressions for the velocity and pressure distributions within the tube and the volume of the fluid flowing per unit time across a cross section of the tube are obtained. In order to see the motion of the fluid particles, the streamlines are also obtained. Discussions are made from physiological point of view.