Subjects: Physics >> General Physics: Statistical and Quantum Mechanics, Quantum Information, etc. submitted time 2017-09-29
Abstract： Capillary rise is one of the most well-known and vivid illustrations of capillarity; however, there is no solution as yet except certain segmental solutions for asymptotic regimes. This paper used the singularity-free Bush equation and successfully obtained its Taylor's series solution. The solution revealed that capillary rise dynamics is mainly controlled by the Bond number and the Galileo number, while the Bond number is a key parameter within the solution. Due to the poor rate of convergence of the series solution, an approximate analytic capillary rise $h(t)$ was proposed, which has been verified numerically.
Peer Review Status:
Awaiting Review
Subjects: Physics >> General Physics: Statistical and Quantum Mechanics, Quantum Information, etc. submitted time 2017-09-20
Abstract： Capillary rise is one of the most well-known and vivid illustrations of capillarity however there is no solution as yet except certain segmental solutions for asymptotic regimes. This paper used the singularity-free Bush equation and successfully obtained its Taylor s series solution. The solution revealed that capillary rise dynamics is mainly controlled by the Bond number and the Galileo number while the Bond number is a key parameter within the solution. Due to the poor rate of convergence of the series solution an approximate analytic capillary rise h t was proposed which has been verified numerically.eter. The proposed analytic solution has been verified numerically.
Peer Review Status:Awaiting Review
Subjects: Physics >> General Physics: Statistical and Quantum Mechanics, Quantum Information, etc. submitted time 2017-09-13
Abstract： Capillary rise is one of the most well-known and vivid illustrations of capillarity, however, there is no complete solution has been obtained except some segmental solutions for asymptotic regimes. In this paper, we use singularity-free Bush's equation and successfully obtain its series and perturbation solutions. The solutions reveal that the capillary rise dynamics is mainly controlled by the Bond number and the Galileo number, of which the Bond number is a key parameter on the existence of the solution. Due to the poor rate of convergence of the series solution, we propose an approximate analytic solution. The proposed analytic solution has been verified numerically.
Peer Review Status:Awaiting Review
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