Bezerra Wesley De Souza, Castelo Antonio, Afonso Alexandre M
Faculdade de Ciências Exatas e Tecnologia, FACET, Universidade Federal da Grande Dourados, Cidade Universitaria-Rodovia Dourados-Itahum, Km 12, Dourados 79804-970, Brasil.
Departamento de Matemática Aplicada e Estatística, ICMC, Universidade de São Paulo, Av. Trabalhador São-carlense, 400, São Carlos 13566-590, Brasil.
Micromachines (Basel). 2019 Nov 20;10(12):796. doi: 10.3390/mi10120796.
The phenomenon of electro-osmosis was studied by performing numerical simulations on the flow between parallel walls and at the nozzle microchannels. In this work, we propose a numerical approximation to perform simulations of vortex formation which occur after the passage of the fluid through an abrupt contraction at the microchannel. The motion of the charges in the solution is described by the Poisson-Nernst-Planck equations and used the generalized finite differences to solve the numerical problem. First, solutions for electro-osmotic flow were obtained for the Phan-Thien/Thanner model in a parallel walls channel. Later simulations for electro-osmotic flow were performed in a nozzle. The formation of vortices near the contraction within the nozzle was verified by taking into account a flow perturbation model.
通过对平行壁之间以及喷嘴微通道内的流动进行数值模拟，研究了电渗现象。在这项工作中，我们提出了一种数值近似方法，用于模拟流体在微通道中经过突然收缩后形成的涡旋。溶液中电荷的运动由泊松 - 能斯特 - 普朗克方程描述，并使用广义有限差分法来解决数值问题。首先，在平行壁通道中针对Phan - Thien/Thanner模型获得了电渗流的解。随后在喷嘴中进行了电渗流模拟。通过考虑流动扰动模型，验证了喷嘴内收缩处附近涡旋的形成。
