Configurational forces and shape of a sessile droplet on a rotating solid substrate-Reference-Cited by-同舟云学术

Configurational forces and shape of a sessile droplet on a rotating solid substrate

Published:2012 Issue:1 Volume:39 Page:27-54
ISSN:1450-5584
Container-title:Theoretical and Applied Mechanics
language:en
Short-container-title:Theor appl mech (Belgr)

Author:

Lubarda Vlado¹,Talke Kurt²

Affiliation:

1. Department of Mechanical and Aerospace Engineering, University of California, San Diego, USA + Montenegrin Academy of Sciences and Arts, Podgorica, Montenegro

2. Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, USA

Abstract

The shape of a uniformly rotating liquid droplet deposited on a solid substrate is determined by an iterative numerical integration of the governing nonlinear differential equation. The differential equation and the boundary conditions are derived by means of the variational analysis which delivers the expressions for the specific configurational force per unit area of the liquid/vapor interface, and the configurational force along the liquid/solid/vapor contact circle. An analytical proof for the orthogonality of the specific configurational force to the surface of the droplet is constructed. The effect of rotation on the droplet?s gyrostatic shape is discussed.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Mechanical Engineering,Computational Mechanics

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