热导率对水溶液中椭球状胶体颗粒各向异性热泳影响

徐立; 陈文钦; 周懿; 杨明远

doi:10.13224/j.cnki.jasp.20240023

热导率对水溶液中椭球状胶体颗粒各向异性热泳影响

doi: 10.13224/j.cnki.jasp.20240023

徐立^1,,
陈文钦¹,
周懿^2,*, ,,
杨明远¹

1.
武汉理工大学船海与能源动力工程学院，武汉 430063
2.
南京航空航天大学通用航空与飞行学院，江苏溧阳 213300

基金项目: 国家自然科学基金（51806157）

详细信息

作者简介:
徐立（1975—），男，教授，博士，主要从事热科学与船舶应用等研究。E-mail：xuli@whut.edu.cn

通讯作者:
周懿（1987-），女，副教授，博士，主要从事通用航空新型动力技术研究。E-mail：yzhou96@nuaa.edu.cn

中图分类号: V237
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出版历程
- 收稿日期: 2024-01-09
- 网络出版日期: 2024-09-10

Thermal conductivity effect on anisotropic thermophoresis of charged spheroidal colloid in aqueous media

XU Li^1
,,
CHEN Wenqin¹,
ZHOU Yi^{2,*
, ,},
YANG Mingyuan¹

1.
School of Naval Architecture，Ocean and Energy Power Engineering，Wuhan University of Technology，Wuhan 430063，China
2.
College of General Aviation and Flight，Nanjing University of Aeronautics and Astronautics，Liyang Jiangsu 213300，China

摘要

摘要:
针对水溶液中椭球状胶体颗粒的各向异性热泳，基于边界层近似理论和极薄双电层假设，推导出不同颗粒热导率时的热泳速度、热泳系数和热泳力的解析解。结果表明：热导率对各向异性的影响不仅改变了椭球体颗粒各向异性热泳的热泳系数值和热泳力值，而且使热泳系数和热泳力的方向发生了较大变化。高分子聚合物椭球状颗粒的热泳系数值及热泳力值总是大于“正常”颗粒（即热导率与流体热导率相同的颗粒），而金属氧化物椭球状颗粒的热泳系数值及热泳力值则小于“正常”颗粒。相对于“正常”颗粒，高分子聚合物椭球状颗粒的各向异性热泳特性减弱，而金属氧化物椭球状颗粒的各向异性热泳特性增强。系统研究热导率对椭球体胶体颗粒各向异性热泳现象的影响，可以用于指导应用于微型飞行器的微尺度热泳涡轮机工程设计。
- 各向异性热泳 /
- 椭球状胶体颗粒 /
- 热导率影响 /
- 边界层近似理论 /
- 热泳系数 /
- 热泳力
Abstract:
For the anisotropic thermophoresis of a charged spheroidal colloidal particle in aqueous media, based on the boundary layer approximation and the extremely thin electric double layer assumption, the analytical formulations of thermophoretic velocity, thermodiffusion coefficient and thermophoretic force under the thermal conductivity effect were derived. The results showed that the thermal conductivity effect not only changed the values of thermodiffusion coefficient and thermophoretic force of anisotropic thermophoresis of spheroidal particles, but also affected greatly the directions of thermodiffusion coefficient and thermophoretic force. The values of thermodiffusion coefficient and thermophoretic force of polymer spheroidal particles were always higher than those of “normal” particles (i.e. particles with the same thermal conductivity as the fluid), while the thermodiffusion coefficient and thermophoretic force of metal oxide spheroidal particles were lower than those of “normal” particles. Compared with the “normal” particles, the anisotropic thermophoresis of polymer spheroidal particles was weakened, and that of metal oxide spheroidal particles was enhanced. The influence of thermal conductivity on the anisotropic thermophoresis of spheroidal colloidal particles was systematically studied, which can shed a light on the engineering design of microscale thermophoresis turbine for the micro-aerial vehicles.
- anisotropic thermophoresis /
- spheroidal colloids /
- thermal conductivity effect /
- boundary layer approximation method /
- thermodiffusion coefficient /
- thermophoretic force

HTML

图 1 随机分布的椭球状颗粒热泳示意图

Figure 1. Schematic diagram of random dispersed ellipsoidal particle structures

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图 2 不同热导率比值下，纵向及横向热泳系数随长径比的变化

Figure 2. Variations of the longitudinal and transversal thermodiffusion coefficients with the aspect ratio for different thermal conductivity ratios

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图 3 不同热导率比值下，热泳系数值随长径比的变化

Figure 3. Thermodiffusion coefficient variations with the aspect ratio for different thermal conductivity ratios

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图 4 不同热导率比值和长径比下，各向异性夹角$ \delta $随$ \theta $的变化

Figure 4. Anisotropic angle variations with the angle $ \theta $ for different aspect ratios and thermal conductivity ratios

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图 5 在长径比为10时，各向异性夹角随热导率比值$ \gamma $和$ \theta $的变化

Figure 5. Anisotropic angle variations with the thermal conductivity ratio $ \gamma $ and the angle $ \theta $ when the aspect ratio as 10

下载: 全尺寸图片幻灯片

图 6 不同热导率比值和长径比下，热泳力值随夹角$ \theta $的变化

Figure 6. Variations of the thermophoretic force value with the angle $ \theta $ for different thermal conductivity ratios and aspect ratios

下载: 全尺寸图片幻灯片

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