Motivated by the complex rheological behaviors observed in small/micro scale blood vessels, such as the Fahraeus effect, plasma-skimming, shear-thinning, etc., we develop a non-linear suspension model for blood. The viscosity is assumed to depend on the volume fraction (hematocrit) and the shear rate. The migration of the red blood cells (RBCs) is studied using a concentration flux equation. A parametric study with two representative problems, namely simple shear flow and a pressure driven flow demonstrate the ability of this reduced-order model to reproduce several key features of the two-fluid model (mixture theory approach), with much lower computational cost.

受小/微型血管中观察到的复杂流变行为（例如费氏效应，血浆撇脂，剪切稀化等）的影响，我们开发了血液的非线性悬浮模型。假定粘度取决于体积分数（血细胞比容）和剪切速率。使用浓度通量方程研究红细胞（RBC）的迁移。一项具有两个代表性问题的参数研究，即简单剪切流和压力驱动流，证明了这种降阶模型能够重现双流体模型（混合理论方法）的几个关键特征的能力，而计算成本却低得多。