On the Contact Angles of a Small Sessile Drop and a Captive Bubble in View of the Size Dependence of Surface Tension-Reference-Cited by-同舟云学术

On the Contact Angles of a Small Sessile Drop and a Captive Bubble in View of the Size Dependence of Surface Tension

Published:2023-09-01 Issue:5 Volume:87 Page:862-868
ISSN:0032-8235
Container-title:Прикладная математика и механика
language:
Short-container-title:Prikladnaâ matematika i mehanika

Author:

Sokurov A. A.¹

Affiliation:

1. Institute of Applied Mathematics and Automation – the filial branch of Federal Scientific Center “Kabardin-Balkar Scientific Center of the RAS

Abstract

New mathematical models of a sessile drop and a captive bubble are constructed taking into account the size dependence of surface tension. If the Tolman length tends to zero the well-known Bashforth–Adams model can be considered as a special case of the constructed models. Numerical calculations of the contact angles are carried out for various numeric values of the equilibrium volume. The study shows that the size dependence of the surface tension leads to a violation of the consistency condition between the contact angles of a drop and a bubble in an external force field.

Publisher

The Russian Academy of Sciences

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