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基于三垂面上形核的润湿角

  • 郝晓辉 ,
  • 高随祥
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  • 1. 唐山师范学院数学与信息科学系, 唐山 063000;
    2. 中国科学院研究生院数学科学学院, 北京 100049

收稿日期: 2009-11-30

  修回日期: 2010-01-06

  网络出版日期: 2010-07-15

基金资助

国家自然科学基金(10831006,10671204)、中国科学院知识创新工程重要方向项目(kjcx-yw-s7)和唐山师范学院发展基金项目(09D01)资助 

Contact angle of nucleation on the substrate of three mutually perpendicular planes

  • HAO Xiao-Hui ,
  • GAO Sui-Xiang
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  • 1. Mathematics and Information Science Department,Tangshan Teachers College, Tangshan 063000,China;
    2. School of Mathematical Sciences,Graduate University of the Chinese Academy of Sciences, Beijing 100049,China

Received date: 2009-11-30

  Revised date: 2010-01-06

  Online published: 2010-07-15

摘要

对三垂面基体上非自发形核进行了研究. 根据非自发形核的条件,对临界形核半径和临界形核功进行了推导,得到了临界形核功与润湿角的数学表达式.结果表明,临界形核功仅与润湿角有关,说明润湿角在非自发形核中起非常重要的作用.对形核润湿角进行的讨论表明了,与自发形核相比,非自发形核具有更小的临界形核功.

本文引用格式

郝晓辉 , 高随祥 . 基于三垂面上形核的润湿角[J]. 中国科学院大学学报, 2010 , 27(4) : 433 -439 . DOI: 10.7523/j.issn.2095-6134.2010.4.001

Abstract

This paper focuses on the discussion of the heterogeneous nucleation on the substrate of three mutually perpendicular planes. According to the condition of heterogeneous nucleation, we study the critical radius of nucleation and the critical nucleation energy to form a critical nucleus, and obtain a mathematical expression of critical nucleation energy and contact angle. The result shows that the critical nucleation energy is only relevant to the contact angle and that the contact angle plays an important role in heterogeneous nucleation. The discussion on contact angles of nucleation indicates that the critical nucleation energy of heterogeneous nucleation is smaller than that of spontaneous nucleation.

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