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Effect of polygonal surfaces on development of viscous fingering in lifting plate Hele-Shaw cell

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Abstract

Bio-mimicking is the process of mimicking the various patterns, models, and systems of nature to take inspiration and solve human problems. The fractal-like patterns are seen in the leaves, tree branches, veins and arteries of the human body, etc. Imitation of these structures is a complex process. This can be achieved using lifting plate Hele-Shaw cell (LPHSC). In LPHSC, non-Newtonian fluid is placed between the two flat plates separated by a minimal distance. The lower plate is kept fixed, and the upper plate is lifted precisely. This leads to the formation of Saffman-Taylor instability or uncontrolled viscous fingering. When a low viscous fluid interacts with high viscous fluid, it tries to displace high viscous fluid, resulting in fractal-like structures. This paper investigates fractal formation in Hele-Shaw cell on different polygonal surfaces such as triangular, square, pentagonal, and hexagonal plates. The authors studied the effect of the sides and corners of the polygons and controlled the instabilities using a gap between plates and the lifting velocity of the upper plate. The entire process of fractal formation is simulated in ANSYS software, and experimental and simulated results hold good agreement. This proposed method will be used to fabricate microstructures.

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Acknowledgements

The authors acknowledge support for this work by the Science and Engineering Research Board (SERB), Government of India through Project Grant CRG/2021/000747.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Datta Meghe College of Engineering, Navi, Mumbai, 400708, India

    Bharatbhushan S. Kale

  2. Department of Mechanical Engineering, Sardar Patel College of Engineering, Andheri, Mumbai, 400058, India

    Kiran S. Bhole, Harshal Dhongadi & Sachin Oak

  3. Department of Mechanical Engineering, New Horizon Institute of Technology & Management, Thane, 400615, India

    Prashant Deshmukh

  4. Department of Computer Sciences and Engineering, Institute of Advanced Research, The University for Innovation, Gandhinagar, Gujarat, 382426, India

    Ankit Oza

  5. Department of Mechanical Engineering, Sree Vidyanikethan Engineering College (Autonomous), Tirupathi, Andhra Pradesh, 517102, India

    R. Ramesh

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  1. Bharatbhushan S. Kale
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Kale, B.S., Bhole, K.S., Dhongadi, H. et al. Effect of polygonal surfaces on development of viscous fingering in lifting plate Hele-Shaw cell. Int J Interact Des Manuf (2022). https://doi.org/10.1007/s12008-022-01030-9

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