Mathematical modeling of a hydrophilic cylinder floating on water

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	Mathematical modeling of a hydrophilic cylinder floating on water
	Mao, Zai-Sha; Yang, Chao; Chen, Jiayong
刊名	JOURNAL OF COLLOID AND INTERFACE SCIENCE
	2012-07-01
卷号	377 期号:377 页码:463-468
关键词	Contact angle Floating coin Surface tension Edge effect Hydrophilic surface
ISSN号	0021-9797
其他题名	J. Colloid Interface Sci.
中文摘要	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.
英文摘要	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.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Chemistry, Physical
研究领域[WOS]	Chemistry
关键词[WOS]	CONTACT-ANGLE HYSTERESIS ; SURFACES ; RESISTANCE ; TENSION
收录类别	SCI
原文出处	://WOS:000304432400063
语种	英语
WOS记录号	WOS:000304432400063
公开日期	2013-11-28
内容类型	期刊论文
版本	出版稿
源URL	[http://ir.ipe.ac.cn/handle/122111/6387]
专题	过程工程研究所_研究所（批量导入）
作者单位	Chinese Acad Sci, Inst Proc Engn, Key Lab Green Proc & Engn, Beijing 100190, Peoples R China
推荐引用方式 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.