Popel A S
Department of Chemical Engineering, University of Arizona, Tucson, Ariz. 85721.
J Appl Mech. 1980 Jun;47(2):247-253. doi: 10.1115/1.3153650.
The objective of this work is to provide a mechanical description of steady-state flow of Newtonian fluid in a branching network that consists of rigid vessels of different diameters. Solution of this problem is of importance for better understanding of the mechanics of blood flow within the microcirculation. The developed branching network model predicts a wide distribution of the hydrodynamic pressure and flow in the vessels of the same caliber (flow heterogeneity). The obtained results are compared with predictions of a simple series-parallel network model. It is shown that this model provides an accurate approximation to the values of the mean pressure and flow given by the branching network model.
这项工作的目的是对牛顿流体在由不同直径刚性血管组成的分支网络中的稳态流动进行力学描述。解决这个问题对于更好地理解微循环内的血流力学很重要。所开发的分支网络模型预测了相同管径血管中流体动力压力和流量的广泛分布(流动不均匀性)。将所得结果与简单串并联网络模型的预测结果进行比较。结果表明,该模型能准确近似分支网络模型给出的平均压力和流量值。