We investigate the linear stability of a unidirectional flow of a suspension (blood) modeling the latter as a inhomogeneous non-Newtonian fluid in which viscosity depends on both the red blood cell concentration (RBCs) and the shear rate. We consider small vessels like arteries terminal branches, arterioles or venules, where the RBCs do not distribute uniformly on the cross section. The stability analysis is performed applying the classical normal-mode linear analysis. The results obtained indicate that the flow is unconditionally unstable unless the inhomogeneity of the RBCs distribution is neglected.

中文翻译：

---

分层非牛顿悬浮液泊固流动的线性稳定性分析：在微循环中的应用

我们研究了悬浮液（血液）的单向流动的线性稳定性，该悬浮液将其建模为不均匀的非牛顿流体，其粘度取决于红细胞浓度（RBC）和剪切速率。我们考虑小的血管，如动脉末端分支，小动脉或小静脉，其中红细胞在横截面上分布不均匀。应用经典的正常模式线性分析进行稳定性分析。所得结果表明，除非忽略了RBC分布的不均匀性，否则流动是无条件不稳定的。