The Hele-Shaw effect, or the viscous fingering phenomenon observed in fluid dynamics, stands as an innovative addition to the field of microfabrication, capturing a large scholarly interest. Despite the simplicity of its working principle, a detailed understanding necessitates the systematic consideration of various essential parameters. To enable a comprehensive understanding of the mechanism, an accurately designed experimental setup becomes necessary. The setup should effectively eliminate unnecessary process variables, such as sensitivity to vibrations, external forces, and uneven loading. In the course of this investigation, we implemented two distinct setups to generate viscous fingers. The key distinction between these setups lies in their respective working mechanisms. The first setup utilizes a cantilever structure with a fixed bottom plate and a moving top plate. In contrast, the second setup employs a simply supported structure with a fixed top plate and a bottom plate that is supported on all four sides. In both setups, movement is controlled using micro-motion software. Both configurations were tested under identical conditions, allowing a thorough comparative analysis of their merits and demerits. After a thorough analysis of both structural and experimental aspects, it is evident that the simply supported setup surpasses the cantilever structure in producing uniform, symmetric, and distinct fractal patterns. This research contributes valuable insights into developing the most effective and fast method for creating micro-fractals.

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Comparative Analysis of Cantilever and Simply Supported Structures in Generating Viscous Fingers: Insights for Microfabrication of Fractals

  • Shashank Phulmali,
  • Madan Narayanan,
  • Suraj Swami,
  • Kiran Suresh Bhole,
  • Bharatbhushan Kale,
  • Deepak Singh

摘要

The Hele-Shaw effect, or the viscous fingering phenomenon observed in fluid dynamics, stands as an innovative addition to the field of microfabrication, capturing a large scholarly interest. Despite the simplicity of its working principle, a detailed understanding necessitates the systematic consideration of various essential parameters. To enable a comprehensive understanding of the mechanism, an accurately designed experimental setup becomes necessary. The setup should effectively eliminate unnecessary process variables, such as sensitivity to vibrations, external forces, and uneven loading. In the course of this investigation, we implemented two distinct setups to generate viscous fingers. The key distinction between these setups lies in their respective working mechanisms. The first setup utilizes a cantilever structure with a fixed bottom plate and a moving top plate. In contrast, the second setup employs a simply supported structure with a fixed top plate and a bottom plate that is supported on all four sides. In both setups, movement is controlled using micro-motion software. Both configurations were tested under identical conditions, allowing a thorough comparative analysis of their merits and demerits. After a thorough analysis of both structural and experimental aspects, it is evident that the simply supported setup surpasses the cantilever structure in producing uniform, symmetric, and distinct fractal patterns. This research contributes valuable insights into developing the most effective and fast method for creating micro-fractals.