Rotating electroosmotic flows in soft parallel plate microchannels

doi:10.1007/s10483-019-2501-8

摘要/Abstract

摘要： We present a theoretical investigation of rotating electroosmotic flows (EOFs) in soft parallel plate microchannels. The soft microchannel, also called as the polyelectrolyte-grafted microchannel, is denoted as a rigid microchannel coated with a polyelectrolyte layer (PEL) on its surface. We compare the velocity in a soft microchannel with that in a rigid one for different rotating frequencies and find that the PEL has a trend to lower the velocities in both directions for a larger equivalent electrical double layer (EDL) thickness λ_FCL (λ_FCL=0.3) and a smaller rotating frequency ω (ω < 5). However, for a larger rotating frequency ω (ω=5), the main stream velocity u far away from the channel walls in a soft microchannel exceeds that in a rigid one. Inspired by the above results, we can control the EOF velocity in micro rotating systems by imparting PELs on the microchannel walls, which may be an interesting application in biomedical separation and chemical reaction.

关键词: ordinary differential equation, motive stability theory, linear differential equation with varied coefficient, rotating electroosmotic flow (EOF), polyelectrolyte layer (PEL) thickness, soft microchannel

Abstract: We present a theoretical investigation of rotating electroosmotic flows (EOFs) in soft parallel plate microchannels. The soft microchannel, also called as the polyelectrolyte-grafted microchannel, is denoted as a rigid microchannel coated with a polyelectrolyte layer (PEL) on its surface. We compare the velocity in a soft microchannel with that in a rigid one for different rotating frequencies and find that the PEL has a trend to lower the velocities in both directions for a larger equivalent electrical double layer (EDL) thickness λ_FCL (λ_FCL=0.3) and a smaller rotating frequency ω (ω < 5). However, for a larger rotating frequency ω (ω=5), the main stream velocity u far away from the channel walls in a soft microchannel exceeds that in a rigid one. Inspired by the above results, we can control the EOF velocity in micro rotating systems by imparting PELs on the microchannel walls, which may be an interesting application in biomedical separation and chemical reaction.

Key words: ordinary differential equation, motive stability theory, linear differential equation with varied coefficient, polyelectrolyte layer (PEL) thickness, rotating electroosmotic flow (EOF), soft microchannel

中图分类号:

76A99
76W05

Yongbo LIU, Yongjun JIAN. Rotating electroosmotic flows in soft parallel plate microchannels[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(7): 1017-1028.

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