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Mathematical modeling of a hydrophilic cylinder floating on water
Alternative TitleJ. Colloid Interface Sci.
Mao, Zai-Sha; Yang, Chao; Chen, Jiayong
2012-07-01
Source PublicationJOURNAL OF COLLOID AND INTERFACE SCIENCE
ISSN0021-9797
Volume377Issue:377Pages:463-468
AbstractIn this paper, a hydrostatic model of the surface profile anchored to the upper edge of a vertical cylinder is proposed to explain why coins can float on water surface. The sharp edge of a cylinder is thus modeled as a round smooth surface on which the contact line may be anchored at a position according to the weight of the cylinder. The mathematical model of the surface profile is established based on the hydrostatics and a third order ordinary differential equation is resulted. Numerical solution of the model demonstrates under practical conditions the existence of the surface profiles that provide reasonable uplifting force at the contact line so that the force is available for floating coins on water surface. The proposed model explains the obviously enlarged apparent contact angle and the edge effect in the literature. The numerical simulation is found in very good agreement with the experimental data in the literature. (C) 2012 Elsevier Inc. All rights reserved.; In this paper, a hydrostatic model of the surface profile anchored to the upper edge of a vertical cylinder is proposed to explain why coins can float on water surface. The sharp edge of a cylinder is thus modeled as a round smooth surface on which the contact line may be anchored at a position according to the weight of the cylinder. The mathematical model of the surface profile is established based on the hydrostatics and a third order ordinary differential equation is resulted. Numerical solution of the model demonstrates under practical conditions the existence of the surface profiles that provide reasonable uplifting force at the contact line so that the force is available for floating coins on water surface. The proposed model explains the obviously enlarged apparent contact angle and the edge effect in the literature. The numerical simulation is found in very good agreement with the experimental data in the literature. (C) 2012 Elsevier Inc. All rights reserved.
KeywordContact Angle Floating Coin Surface Tension Edge Effect Hydrophilic Surface
SubtypeArticle
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1016/j.jcis.2012.03.081
URL查看原文
Indexed BySCI
Language英语
WOS KeywordCONTACT-ANGLE HYSTERESIS ; SURFACES ; RESISTANCE ; TENSION
WOS Research AreaChemistry
WOS SubjectChemistry, Physical
WOS IDWOS:000304432400063
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Version出版稿
Identifierhttp://ir.ipe.ac.cn/handle/122111/6387
Collection研究所(批量导入)
AffiliationChinese Acad Sci, Inst Proc Engn, Key Lab Green Proc & Engn, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Mao, Zai-Sha,Yang, Chao,Chen, Jiayong. Mathematical modeling of a hydrophilic cylinder floating on water[J]. JOURNAL OF COLLOID AND INTERFACE SCIENCE,2012,377(377):463-468.
APA Mao, Zai-Sha,Yang, Chao,&Chen, Jiayong.(2012).Mathematical modeling of a hydrophilic cylinder floating on water.JOURNAL OF COLLOID AND INTERFACE SCIENCE,377(377),463-468.
MLA Mao, Zai-Sha,et al."Mathematical modeling of a hydrophilic cylinder floating on water".JOURNAL OF COLLOID AND INTERFACE SCIENCE 377.377(2012):463-468.
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