Debye-Hckel solution for steady electro-osmotic flow of micropolar fluid in cylindrical microcapillary

作     者：A. A. SIDDIQUI A. LAKHTAKIA 

作者机构：Department of Basic Sciences Bahauddin Zakariya University Nanoengineered Metamaterials Group Department of Engineering Science and MechanicsPennsylvania State University University Park 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2013年第34卷第11期

页      面：1305-1326页

核心收录：

学科分类：080103[工学-流体力学] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：couple stress electro-osmosis microcapillary micropolar fluid microrota-tion steady flow 

摘      要：Analytic expressions for speed, flux, microrotation, stress, and couple stress in a micropolar fluid exhibiting a steady, symmetric, and one-dimensional electro-osmotic flow in a uniform cylindrical microcapillary were derived under the constraint of the Debye-Hiickel approximation, which is applicable when the cross-sectional radius of the microcapillary exceeds the Debye length, provided that the zeta potential is sufficiently small in magnitude. Since the aciculate particles in a micropolar fluid can rotate without translation, micropolarity affects the fluid speed, fluid flux, and one of the two non-zero components of the stress tensor. The axial speed in a micropolar fluid intensifies when the radius increases. The stress tensor is confined to the region near the wall of the mi- crocapillary, while the couple stress tensor is uniform across the cross-section.