发表机构
The Open University; University of Porto; University of Warsaw（开放大学; 波尔图大学; 华沙大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对三维楔状受限几何，建立了扩散主导 regime 下化学驱动电泳流的格林函数理论框架，推导了浓度场与速度场的显式谱解，为相关数值模拟提供了分析基准。
AI 中文摘要
理解化学诱导的表面输运如何在受限几何中产生流体运动，对于合理设计微尺度泵浦装置和主动微流控系统至关重要。本文在扩散主导 regime 下，为三维楔状几何中的化学驱动电泳流建立了理论框架。利用楔的平移不变性和径向结构，采用 Fourier-Kontorovich-Lebedev 谱表示法构建扩散问题与流体动力学问题，针对反射边界及混合反射-吸收边界推导了浓度场的格林函数，当楔角为可公度值时，该格林函数可简化为有限镜像和或闭式表达式。随后，利用所得滑移速度通过 Papkovich-Neuber 表示法构建三维 Stokes 流，得到了速度场的显式谱解。这些结果建立了楔状受限空间中电泳泵浦的格林函数框架，并为受限微流控系统中化学驱动输运的数值模拟提供了分析基准。
英文摘要
Understanding how chemically induced surface transport generates fluid motion in confined geometries is essential for the rational design of microscale pumping devices and active microfluidic systems. Here we develop a theoretical framework for chemically driven phoretic flows in a three-dimensional wedge geometry in the diffusion-dominated regime. We formulate both the diffusion and hydrodynamic problems using a Fourier-Kontorovich-Lebedev spectral representation, exploiting the translational invariance and radial structure of the wedge. Green's functions for the concentration field are derived for reflecting and mixed reflecting-absorbing boundaries, reducing to finite image-like sums or closed-form expressions for commensurate wedge angles. The resulting slip velocity is then used to construct the three-dimensional Stokes flow through the Papkovich-Neuber representation, yielding explicit spectral solutions for the velocity field. These results establish a Green's-function framework for phoretic pumping in wedge-shaped confinement and provide analytical benchmarks for numerical simulations of chemically driven transport in confined microfluidic systems.
CommentsRevised manuscript resubmitted to PRSA
