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<p>This study analyzes the dynamics and stability of an outer thin-walled shell with micro-dimensions, which conveys a swirling fluid in the annular zone between the inner and outer shells. Based on the modified couple stress theory and Donnell shell theory, the motion control equations for the shell are derived through Hamilton’s principle. Fluid force is determined by using the potential flow theory that combines no-slip and slip boundary conditions. The objective is to discover the influences of the fluid rotation, geometry parameters and the Knudsen number on the stability of the micro-scale shell. The instability mechanism of the system caused by different fluid forces is discussed. In addition, the Knudsen number can reduce the critical flow velocity and make the dimensionless phase velocity in the annulus faster.</p>

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Dynamics and stability of a micro-shell subjected to swirling annular flow considering Knudsen number

  • 期刊论文

  • 发表日期：

    2025年10月31日

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  • Wenbo Ning,
  • Haoxian Wang,
  • Jiading Yuan,
  • Yulong Xu,
  • Quanquan Yang,
  • Yuehong Liu

摘要

This study analyzes the dynamics and stability of an outer thin-walled shell with micro-dimensions, which conveys a swirling fluid in the annular zone between the inner and outer shells. Based on the modified couple stress theory and Donnell shell theory, the motion control equations for the shell are derived through Hamilton’s principle. Fluid force is determined by using the potential flow theory that combines no-slip and slip boundary conditions. The objective is to discover the influences of the fluid rotation, geometry parameters and the Knudsen number on the stability of the micro-scale shell. The instability mechanism of the system caused by different fluid forces is discussed. In addition, the Knudsen number can reduce the critical flow velocity and make the dimensionless phase velocity in the annulus faster.