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Article type: Research Article
Authors: Cavaccini, Giovannia | Pianese, Vittoriaa | Jannelli, Alessandrab | Iacono, Salvatoreb | Fazio, Riccardob; *
Affiliations: [a] Alenia Aeronautica, viale dell'Aeronautica s.n.c. 80038 Pomigliano d'Arco – Napoli, Italy | [b] Department of Mathematics, University of Messina, Salita Sperone 31, 98166 Messina, Italy
Correspondence: [*] Corresponding author. E-mail: rfazio@dipmat.unime.it.
Abstract: This paper is concerned with a mathematical and numerical study of liquid dynamics in a horizontal capillary. We derive a two-liquids model for the prediction of capillary dynamics. This model takes into account the effects of real phenomena: like the outside flow action, or the entrapped gas inside a closed-end capillary. Moreover, the limitations of the one-dimensional model are clearly indicated. Finally, we report on several tests of interest: an academic test case that can be used to check available numerical methods, a test for decreasing values of the capillary radius, a simulation concerning a closed-end capillary, and two test cases for two liquids flow. In order to study the introduced mathematical model, our main tool, is a reliable one-step adaptive numerical approach based on a one-step one-method strategy.
Keywords: Adaptive numerical method, capillarity
DOI: 10.3233/JCM-2009-0252
Journal: Journal of Computational Methods in Sciences and Engineering, vol. 9, no. 1-2, pp. 3-16, 2009
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