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

Vlado A. Lubarda | Zendy; Kurt Talke | Zendy

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

Author(s) -

Vlado A. Lubarda,

Kurt Talke

Publication year - 2012

Publication title -

theoretical and applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.279

H-Index - 6

eISSN - 2406-0925

pISSN - 1450-5584

DOI - 10.2298/tam1201027l

Subject(s) - orthogonality , rotation (mathematics) , materials science , mechanics , substrate (aquarium) , nonlinear system , boundary value problem , solid surface , contact angle , boundary (topology) , classical mechanics , physics , mathematical analysis , thermodynamics , geometry , mathematics , chemical physics , oceanography , quantum mechanics , geology

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

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