Title: Controlling the instabilities in the radial Hele-Shaw cell

Authors: Bharatbhushan S. Kale; Kiran S. Bhole

Addresses: Department of Mechanical Engineering, Datta Meghe College of Engineering, Navi Mumbai, India ' Department of Mechanical Engineering, Sardar Patel College of Engineering, Andheri, Mumbai, India

Abstract: Our world is surrounded by various instability. Fluid instability is one of the emerging and interesting topics to study fluid behaviour. Fluid instability may develop when fluid flows through a porous medium. A similar kind of fluid instability is also developed by fluid flow in narrow slit. This paper mainly focuses on characteristic of fluid instability in Hele-Shaw cell under influence of intended disturbance and methods to control the same. In Hele-Shaw flow, low viscous fluid is allowed to flow in a high viscous fluid, placed in between two flat parallel plates separated by the narrow gap. Instability established during this fluid flow creates morphological patterns called viscous fingering (microfractals). In this paper, authors introduced parameters viz. protrusions, holes, and slots on plates and the introduction of two high viscous fluids that affect microfractals. A method is introduced to get the microfractals of the desired shape in this paper.

Keywords: fluid instability; microfractals; controlling parameters; Hele-Shaw cell.

DOI: 10.1504/IJTAMM.2020.112780

International Journal of Theoretical and Applied Multiscale Mechanics, 2020 Vol.3 No.3, pp.245 - 260

Received: 26 Mar 2020
Accepted: 05 Oct 2020
Published online: 02 Feb 2021 *

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