Department of Physics and INFN, University of Rome 'Tor Vergata', Via della Ricerca Scientifica, 1, 00133 Rome, Italy.
Chair for Computational Analysis of Technical Systems (CATS), RWTH Aachen University, 52056 Aachen, Germany.
Philos Trans A Math Phys Eng Sci. 2021 Oct 18;379(2208):20200395. doi: 10.1098/rsta.2020.0395. Epub 2021 Aug 30.
The tumbling to tank-treading (TB-TT) transition for red blood cells (RBCs) has been widely investigated, with a main focus on the effects of the viscosity ratio [Formula: see text] (i.e., the ratio between the viscosities of the fluids inside and outside the membrane) and the shear rate [Formula: see text] applied to the RBC. However, the membrane viscosity [Formula: see text] plays a major role in a realistic description of RBC dynamics, and only a few works have systematically focused on its effects on the TB-TT transition. In this work, we provide a parametric investigation on the effect of membrane viscosity [Formula: see text] on the TB-TT transition for a single RBC. It is found that, at fixed viscosity ratios [Formula: see text], larger values of [Formula: see text] lead to an increased range of values of capillary number at which the TB-TT transition occurs; moreover, we found that increasing [Formula: see text] or increasing [Formula: see text] results in a qualitatively but not quantitatively similar behaviour. All results are obtained by means of mesoscale numerical simulations based on the lattice Boltzmann models. This article is part of the theme issue 'Progress in mesoscale methods for fluid dynamics simulation'.
红细胞（RBC）的翻滚到坦克履带（TB-TT）的转变已经被广泛研究，主要集中在粘度比[公式：见文本]（即膜内外流体粘度比）和施加于 RBC 的剪切率[公式：见文本]的影响上。然而，膜粘度[公式：见文本]在红细胞动力学的实际描述中起着主要作用，只有少数工作系统地关注了其对 TB-TT 转变的影响。在这项工作中，我们对单个 RBC 的膜粘度[公式：见文本]对 TB-TT 转变的影响进行了参数研究。结果表明，在固定的粘度比[公式：见文本]下，较大的[公式：见文本]值导致发生 TB-TT 转变的毛细数的范围增大；此外，我们发现增加[公式：见文本]或增加[公式：见文本]会导致定性但不是定量相似的行为。所有结果都是通过基于晶格 Boltzmann 模型的介观数值模拟获得的。本文是主题为“流体动力学模拟的介观方法进展”的一部分。
