Fingering Instability of a Gravity-Driven Thin Film Flowing Down a Vertical Tube with Wall Slippage
Source abstract
Abstract
Inspired by the antiwetting property of pitcher plants, specialists have designed different functional material with slippery surfaces, and a directional slippery surface has been fabricated. This paper considers a gravity-driven liquid film coating the interior surface of a vertical tube, and different slippery lengths in the azimuthal direction and the axial direction are taken into account. The evolution equation of coating flow is derived using the thin film model, and time responses for two dimensional flow are calculated. Linear stability analysis (LSA) is given based on the traveling wave solutions, demonstrating that the axial slippery effect suppresses the flow instability and causes a larger traveling wave speed. Simultaneously, the azimuthal slippery effect plays a destabilizing role for perturbations with small wavenumbers and it is stabilizing for large wavenumbers. Direct simulations of the fingering flow patterns agree well with the linear stability analysis. Our results offer insight into the influence of wall slippage on the flow stability of liquid in petroleum engineering.
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Research context
OpenAlex topics: Fluid Dynamics and Thin Films · Surface Modification and Superhydrophobicity · Fluid Dynamics and Heat Transfer
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo 255000, China
Department of Engineering Mechanics, College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao 266580, China
Institute of Sound and Vibration Research, Hefei University of Technology, Hefei 230009, China
Funding
National Natural Science Foundation of China
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