arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1206.6261cond-mat.softphysics.class-ph
收藏

润湿固体基底的电解质中接近三相接触线的双电层结构

Electric double layer structure close to the three-phase contact line in an electrolyte wetting a solid substrate

Aaron Dörr, Steffen Hardt

摘要:

通过考虑楔形几何中的线性化Poisson-Boltzmann方程,近似了靠近三相接触线附近的固体基底的电解质中的双电层结构。的数学方法补充了文献中报道的半解析解,通过提供容易获得的特性信息的双层结构。特别是,该模型包含一个长度尺度,该尺度量化了从流体-流体界面到该边界影响双电层的距离。分析是基于对等位线的近似。在一个显著的接触角范围内,模型预测和数值结果之间达到了很好的一致性。量化流体-流体界面的影响的长度尺度与德拜长度成比例并且取决于壁接触角。结果表明,当接触角接近90°时,边界影响的范围有限。

英文摘要:

The electric double layer structure in an electrolyte close to a solid substrate near the three-phase contact line is approximated by considering the linearized Poisson-Boltzmann equation in a wedge geometry. The mathematical approach complements the semi-analytical solutions reported in the literature by providing easily available characteristic information on the double layer structure. In particular, the model contains a length scale that quantifies the distance from the fluid-fluid interface over which this boundary influences the electric double layer. The analysis is based on an approximation for the equipotential lines. Excellent agreement between the model predictions and numerical results is achieved for a significant range of contact angles. The length scale quantifying the influence of the fluid-fluid interface is proportional to the Debye length and depends on the wall contact angle. It is shown that for contact angles approaching 90° there is a finite range of boundary influence.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑