韦森伯格数在微通道内的电动奥尔德罗伊德-B流体流动中的缩放效应
Satwik Mukherjee1, Sanjib Kr Pal2, Partha P Gopmandal3
1Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, India.
Electrophoresis
|October 29, 2024
概括
这项研究将韦森伯格数与使用电场的奥尔德罗伊德-B流体中的流联系起来. 在韦森伯格数和流现象之间发现了正相关性,有助于微流体装置设计.
科学领域:
- 流体动力学 流体动力学
- 非牛顿流体非牛顿流体
- 电动运动学 电动运动学
背景情况:
- 之前的研究探讨了Oldroyd-B流体中的电动力学流 (EKT).
- 不同质的泽塔电位可以在临界的韦森伯格数以上引发流.
- 已经定义了EKT中速度和标量结构函数的缩放定律.
研究的目的:
- 在电场下的Oldroyd-B流体中研究Weissenberg数和二次速度结构函数之间的关系.
- 开发一个数学框架,将韦森伯格数与动荡现象联系起来.
- 为设计和优化基于EKT的微流体设备提供基础.
主要方法:
- 在Oldroyd-B流体中电动动荡的数学建模.
- 在应用电场下的速度结构函数的分析.
- 纳入最近关于AC和DC EKT缩放规律的发现.
主要成果:
- 在韦森伯格数 (Weissenberg number) 和二次速度结构函数 (second-order velocity structure function) 之间建立了一个关系.
- 这项研究发现,对于长度尺度,
- 怀森伯格数和流现象之间的正相关性被证明.
结论:
- 森伯格数与电场下的奥尔德罗伊德-B流体中的流现象正相关.
- 这些发现为设计和优化基于电动力学流的微流体设备提供了数学基础.
- 这项研究扩大了对EKT在非牛顿流体中的理解.
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