Scaling Laws of Droplet Coalescence: Theory and Numerical Simulation
When two Newtonian liquid droplets are brought into contact on a solid substrate, a highly curved meniscus neck is established between the two which transforms the bihemispherically shaped fluid domain to a hemispherically shaped domain. The rate at which such topological transformation, called coal...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/4906016 |
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| author | M. Irshad Khodabocus Mathieu Sellier Volker Nock |
| author_facet | M. Irshad Khodabocus Mathieu Sellier Volker Nock |
| author_sort | M. Irshad Khodabocus |
| collection | DOAJ |
| description | When two Newtonian liquid droplets are brought into contact on a solid substrate, a highly curved meniscus neck is established between the two which transforms the bihemispherically shaped fluid domain to a hemispherically shaped domain. The rate at which such topological transformation, called coalescence phenomenon, evolves results from a competition between the inertial force which resists the transformation, the interfacial force which promotes the rate, and the viscous force which arrests it. Depending on the behaviour of these forces, different scaling laws describing the neck growth can be observed, predicted theoretically, and proved numerically. The twofold objective of the present contribution is to propose a simple theoretical framework which leads to an Ordinary Differential Equation, the solution of which predicts the different scaling laws in various limits, and to validate these theoretical predictions numerically by modelling the phenomenon in the commercial Finite Element software COMSOL Multiphysics. |
| format | Article |
| id | doaj-art-10fe5799cc474487a7414916793ba9b6 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-10fe5799cc474487a7414916793ba9b62025-02-03T05:47:19ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/49060164906016Scaling Laws of Droplet Coalescence: Theory and Numerical SimulationM. Irshad Khodabocus0Mathieu Sellier1Volker Nock2Department of Mathematics, Faculty of Science, University of Mauritius, Réduit 80837, MauritiusDepartment of Mechanical Engineering, University of Canterbury, Private Bag 4800, Christchurch 8140, New ZealandDepartment of Electrical and Computer Engineering, University of Canterbury, Private Bag 4800, Christchurch 8140, New ZealandWhen two Newtonian liquid droplets are brought into contact on a solid substrate, a highly curved meniscus neck is established between the two which transforms the bihemispherically shaped fluid domain to a hemispherically shaped domain. The rate at which such topological transformation, called coalescence phenomenon, evolves results from a competition between the inertial force which resists the transformation, the interfacial force which promotes the rate, and the viscous force which arrests it. Depending on the behaviour of these forces, different scaling laws describing the neck growth can be observed, predicted theoretically, and proved numerically. The twofold objective of the present contribution is to propose a simple theoretical framework which leads to an Ordinary Differential Equation, the solution of which predicts the different scaling laws in various limits, and to validate these theoretical predictions numerically by modelling the phenomenon in the commercial Finite Element software COMSOL Multiphysics.http://dx.doi.org/10.1155/2018/4906016 |
| spellingShingle | M. Irshad Khodabocus Mathieu Sellier Volker Nock Scaling Laws of Droplet Coalescence: Theory and Numerical Simulation Advances in Mathematical Physics |
| title | Scaling Laws of Droplet Coalescence: Theory and Numerical Simulation |
| title_full | Scaling Laws of Droplet Coalescence: Theory and Numerical Simulation |
| title_fullStr | Scaling Laws of Droplet Coalescence: Theory and Numerical Simulation |
| title_full_unstemmed | Scaling Laws of Droplet Coalescence: Theory and Numerical Simulation |
| title_short | Scaling Laws of Droplet Coalescence: Theory and Numerical Simulation |
| title_sort | scaling laws of droplet coalescence theory and numerical simulation |
| url | http://dx.doi.org/10.1155/2018/4906016 |
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