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Mathematical modelling of superhydrophobic surfaces for determining the correlation between water contact angle and geometrical parameters

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dc.contributor.author Roy, Tribeni
dc.date.accessioned 2023-10-19T06:23:24Z
dc.date.available 2023-10-19T06:23:24Z
dc.date.issued 2020-01
dc.identifier.uri https://www.sciencedirect.com/science/article/pii/S0141635919304374
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/12511
dc.description.abstract Water-repellent surfaces have recently become an active area of research due to the desire to achieve self-cleaning, anti-sticking, and non-wetting properties on surfaces. These surfaces are required for different engineering applications. A superhydrophobic (SHP) surface achieves a water contact angle (CA) of 150° or greater. The physical understanding of the process by which surfaces attain superhydrophobicity is still limited, making it difficult to fabricate such surfaces by machining due to the hierarchical scale of the features involved. This work, therefore, aims to shed light on the physical understanding of the behaviour of a water droplet as it rests on a micro textured surface. In the first part of the work, a mathematical model is developed that follows a basic and novel approach of force balance considering a water drop sitting on a surface under static conditions. The various forces responsible for equilibrium are individually evaluated. The model used to describe a surface's interaction with water establishes the relationships between various parameters in the force balance system. From these relationships, the water contact angle (CA) required for superhydrophobicity was found through a simulation. In the second part of this work, arrays of projected micro-features were fabricated on different materials using deep X-Ray lithography (DXRL), micro wire EDM, and the wire wound method. The measured values of the CA on the fabricated surfaces were similar to the values obtained from the model. The proposed model, therefore, helps in designing SHP surfaces (SHSs) on large-scale arrayed micro-features based on several geometrical parameters. en_US
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.subject Mechanical Engineering en_US
dc.subject Mathematical Modelling en_US
dc.subject Superhydrophobic surfaces en_US
dc.subject Micro wire EDM en_US
dc.subject Deep X-Ray lithography en_US
dc.subject Contact angle en_US
dc.title Mathematical modelling of superhydrophobic surfaces for determining the correlation between water contact angle and geometrical parameters en_US
dc.type Article en_US


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