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一个软层覆盖在一个刚性圆柱体上的高原-雷利不稳定性
Bharti1, Andreas Carlson1, Tak Shing Chan1
1Mechanics Division, Department of Mathematics, University of Oslo, 0316 Oslo, Norway. taksc@uio.no.
Soft matter
|July 2, 2024
概括
一个刚性核心显著稳定软纤维,防止高原-雷利不稳定. 增加核心尺寸或材料刚度会减少不稳定性增长,而一个关键的弹性毛囊数量定义稳定性值.
科学领域:
- 流体动力学 流体动力学
- 材料科学是一种材料科学.
- 软物质物理学 软物质物理学
背景情况:
- 平原-雷利不稳定性描述了液体喷流的倾向分解成滴滴.
- 这种现象在各种应用中至关重要,包括纤维涂层和微流体学.
- 了解粘弹性材料的不稳定性是控制材料行为的关键.
研究的目的:
- 在一个刚性圆柱体 (软纤维具有刚性核心) 上的软粘弹性层中研究高原-雷利不稳定性.
- 分析核心半径,层硬度和材料放松时间对不稳定性开始和增长的影响.
- 确定稳定性和其依赖系统参数的关键弹性纤维细胞数.
主要方法:
- 用线性稳定性分析来检查不稳定性的开始.
- 该研究的重点是增长最快的不稳定模式的增长率.
- 关键参数多种多样,包括刚性气半径,层度和粘弹性放松时间表.
主要成果:
- 增加刚性气半径或层度会降低增长速度最快的增长模式.
- 确定了一个关键的弹性毛囊细胞数,在此以下的所有干扰都是稳定的.
- 刚性核心具有强大的稳定作用,与完全软纤维相比,显著增加了关键的弹性纤维细胞数.
- 增加粘弹性放松时间会减缓干扰的增长,但不会影响关键的弹性毛囊数.
- 对于纯弹性的情况,增长最快的模式的波长独立于刚性气半径.
结论:
- 刚性核心的存在在柔软的粘弹性纤维中提供了相当大的稳定性,可以对抗柔软的粘弹性纤维的高原-雷利不稳定性.
- 关键弹性毛囊数作为预测稳定性的关键参数,受到刚性核心的强烈影响.
- 材料特性如刚性和放松时间调节不稳定性动力学,而核心的几何结构对整体稳定性至关重要.
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