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黏弹性液滴热毛细迁移的对流不稳定

章绍能 胡开鑫

章绍能, 胡开鑫. 黏弹性液滴热毛细迁移的对流不稳定[J]. 力学学报, 2021, 53(5): 1313-1323. doi: 10.6052/0459-1879-20-443
引用本文: 章绍能, 胡开鑫. 黏弹性液滴热毛细迁移的对流不稳定[J]. 力学学报, 2021, 53(5): 1313-1323. doi: 10.6052/0459-1879-20-443
Zhang Shaoneng, Hu Kaixin. CONVECTIVE INSTABILITY IN THERMOCAPILLARY MIGRATION OF A VISCOELASTIC DROPLET[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1313-1323. doi: 10.6052/0459-1879-20-443
Citation: Zhang Shaoneng, Hu Kaixin. CONVECTIVE INSTABILITY IN THERMOCAPILLARY MIGRATION OF A VISCOELASTIC DROPLET[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1313-1323. doi: 10.6052/0459-1879-20-443

黏弹性液滴热毛细迁移的对流不稳定

doi: 10.6052/0459-1879-20-443
基金项目: 1)国家自然科学基金(11872032);国家自然科学基金(U1738119);国家自然科学基金(11532015);浙江省自然科学基金(LY21A020006)
详细信息
    作者简介:

    2)胡开鑫, 副教授, 主要研究方向: 非牛顿流体, 微重力流体. E-mail:hukaixin@nbu.edu.cn

    通讯作者:

    胡开鑫

  • 中图分类号: O357.1

CONVECTIVE INSTABILITY IN THERMOCAPILLARY MIGRATION OF A VISCOELASTIC DROPLET

  • 摘要: 液滴在温度分布不均的固壁面上产生的热毛细迁移广泛存在于微流控、喷墨印刷等应用中, 对其流动进行稳定性分析对液滴迁移的精准控制具有重要意义. 本文采用线性稳定性理论研究了附壁黏弹性液滴在热毛细迁移中的对流不稳定性, 得到了不同Prandtl数($Pr$)下的临界Marangoni数($Ma_{\rm c})$与弹性数的函数关系, 并分析了临界模态的流场和能量机制. 研究发现: 流体弹性激发了更多不稳定模态, 小$Pr$的临界模态为斜波和流向波, 而中高$Pr$的临界模态为斜波和展向稳态模态. 强弹性使得$Ma_{\rm c}$显著下降, 而弱弹性略微增强了流动稳定性. 在中$Pr$下, $Ma_{\rm c}$随$Pr$的增大而增大. 对于斜波模态, 扰动温度的振幅可存在于流场中间区域, 而其他两种模态的温度振幅只存在于自由表面上, 并且在高$Pr$下的流线分布几乎是对称的. 能量分析表明: 随着弹性数增大, 基本流做功由正变负; 在小$Pr$中, 扰动应力做功既可能耗散能量又可能提供能量; 在高$Pr$中, 基本流做功可忽略不计. 对于同向流向波, 扰动速度和扰动应力做功在垂直方向上均存在多次振荡. 将液滴迁移与热毛细液层进行对比发现, 由于基本流和边界条件的不同, 两者在临界模态和扰动流场中均存在较大差异.

     

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出版历程
  • 收稿日期:  2020-12-22
  • 刊出日期:  2021-05-18

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