ArticleACS omega2022
Calculation of the Meniscus Shape Formed under Gravitational Force by Solving the Young-Laplace Differential Equation Using the Bézier Curve Method.
Article in ACS omega, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- In Situ Characterisation of Hydrogels via Dynamic Interface Printing.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- High-gravitational effect on process stabilization evaluation for material extrusion using polylactic acid filament.Scientific reports · 2025Article
- Dynamic interface printing.Nature · 2024Article
- Bézier Curve Method to Compute Various Meniscus Shapes.ACS omega · 2023Article
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
This work presents a method to calculate the meniscus shape by solving the differential equation based on the Young-Laplace equation. More specifically, the differential equation is solved by applying the cubic Bézier curve. A complicated nonlinear differential equation is solved using the Bézier control points and the least-squares method while maintaining computational simplicity. The results show all of the expected features of the meniscus under the gravitational force. A brief discussion is also made on the effect of the errors on the results. The method is further validated by its agreement with the numerical solutions reported in the existing literature.
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Registered trials
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