随机粗对微型中的电磁流的影响
Zhili Wang1, Yanjun Sun1,2, Yongjun Jian1
1School of Mathematical Science, Inner Mongolia University, Hohhot 010021, China.
Micromachines
|November 25, 2023
概括
随机粗显著影响微管中的电磁流. 侧面波纹对流速的影响比三角波纹更大,特别是在波数较高和哈特曼数较低时.
科学领域:
- 流体动力学 流体动力学
- 电磁主义 电磁主义
- 微流体学 微流体学
背景情况:
- 狭窄几何体内的电磁流在各种应用中至关重要.
- 了解表面粗度对流体流动的影响对于准确的建模至关重要.
- 由于其小尺寸,微管具有独特的挑战.
研究的目的:
- 为了研究随机粗度对圆柱状微管中的电磁流的影响.
- 开发一个分析解决方案,考虑表面波纹的流速.
- 量化粗度参数对流量行为的影响.
主要方法:
- 利用静态随机过程和小参数扩展.
- 采用扰动方法来实现高达二次速度的分析解决方案.
- 集成的光谱密度来导出粗度函数的分析表达式.
- 分析了正弦形和三角形波纹.
主要成果:
- 粗度函数 (ζ) 量化了由于粗度而导致的流速偏差.
- 粗度函数的大小随波数 (λ) 增加,随哈特曼数 (Ha) 减少.
- 与三角波纹相比,正弦波纹对流速有更大的影响.
- 观察到的最大粗效应在 λ=15, Ha=0 (sinusoidal 的ζ=27.5,三角形的ζ=18.7).
结论:
- 表面粗性显著改变了微管中的电磁流.
- 波纹类型的选择 (三角形与三角形) 影响流速调节.
- 这项研究为预测微流体设备的粗性效应提供了定量框架.
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