Nonlinear electrophoretic velocity of a spherical colloidal particle
Nonlinear electrophoretic velocity of a spherical colloidal particle
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DOI：
10.1017/jfm.2023.537
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发表时间：
2023-07-31
影响因子：
3.7
通讯作者：
Khair, Aditya S.
中科院分区：
文献类型：
--
作者：
Cobos, Richard;Khair, Aditya S.
电泳是带电胶体粒子在外加电场下在电解质中的运动。球形粒子的电泳速度取决于无量纲电场强度β = a* e*E *（无穷大）/k *（B）T *，定义为所施加的电场大小E *（无穷大）和粒子半径a* 与热电压k *（B）T * /e* 的关系，其中k * B是玻尔兹曼常数，T * 是绝对温度，e* 是质子上的电荷在本文中，我们开发了一种谱元算法来计算电泳速度的球形，刚性，电介质粒子，固定无量纲表面电荷密度σ在很宽的范围内的β。这里，σ =（e* a* i是 * k *（B）T *）σ * 的元素，其中σ * 是维度表面电荷密度，并且σ * 是 * 是电解质的介电常数的元素。对于中等带电的粒子（sigma = O（1）），当β = 0时，电泳速度与β成线性关系。
Electrophoresis is the motion of a charged colloidal particle in an electrolyte under an applied electric field. The electrophoretic velocity of a spherical particle depends on the dimensionless electric field strength beta = a* e*E *(infinity) /k * (B) T *, defined as the ratio of the product of the applied electric field magnitude E *(infinity) and particle radius a*, to the thermal voltage k * (B) T * /e*, where k * B is Boltzmann's constant, T * is the absolute temperature, and e* is the charge on a proton. In this paper, we develop a spectral element algorithm to compute the electrophoretic velocity of a spherical, rigid, dielectric particle, of fixed dimensionless surface charge density sigma over a wide range of beta. Here, sigma = (e* a* /is an element of * k * (B) T *)sigma *, where sigma * is the dimensional surface charge density, and is an element of * is the permittivity of the electrolyte. For moderately charged particles ( sigma = O(1)), the electrophoretic velocity is linear in beta when beta