Mathematical modeling of a hydrophilic cylinder floating on water
文献类型：期刊论文
| 作者 | Mao, Zai-Sha; Yang, Chao; Chen, Jiayong |
| 刊名 | JOURNAL OF COLLOID AND INTERFACE SCIENCE
 |
| 出版日期 | 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 | |
| 语种 | 英语 |
| WOS记录号 | WOS:000304432400063 |
| 公开日期 | 2013-11-28 |
| 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. |
入库方式： OAI收割
来源：过程工程研究所
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