Analytical approximate capillary surfaces

• Date: 2020
• Author Affiliations: E.M. Tkachenko — Institute of Mathematics; A.N. Timokha — Institute of Mathematics
• Keywords: keywords
• Main Authors: Tkachenko, E.M., Timokha, A.N., Ткаченко, Е.Н., Тимоха, А.Н., Ткаченко, Є.М., Тимоха, О.М.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/432
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

Analytical approaches to capillary (meniscus) problem in infinite horizon- tal channel and axisymmetric container are developed. For these cases, finding the menisci reduces to free-boundary problems for specific systems of ordinary differential equations. Their solutions describe capillary curve...