A phase field description of self-propulsion of twin sessile drops induced by surface tension gradients

2014 ◽  
Vol 46 (4) ◽  
pp. 041405 ◽  
Author(s):  
Rodica Borcia ◽  
Michael Bestehorn
Keyword(s):  
Surface Tension ◽  
Phase Field ◽  
Sessile Drops

scholarly journals A PHASE-FIELD DESCRIPTION OF SURFACE-TENSION-DRIVEN INSTABILITY

2004 ◽  
Vol 14 (12) ◽  
pp. 4105-4116 ◽  
Author(s):  
RODICA BORCIA ◽  
DOMNIC MERKT ◽  
MICHAEL BESTEHORN
Keyword(s):  
Surface Tension ◽  
Phase Field ◽  
Linear Functions ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Field Function ◽  
Classical Formulation ◽  
Fluid Systems ◽  
Field Formalism ◽  
Cahn Hilliard Equation

In this paper we report on 2D numerical simulations concerning linear and nonlinear evolution of surface-tension-driven instability in two-fluid systems heated from below using classical and phase-field models. In the phase-field formalism, one introduces an order parameter called phase-field function to characterize the phases thermodynamically. All the system parameters are assumed to vary continuously from one fluid bulk to another (as linear functions of the phase-field). The Navier–Stokes equation (with some extra terms) and the heat equation are written only once for the whole system. The evolution of the phase-field is described by the Cahn–Hilliard equation. In the sharp-interface limit the results found by the phase-field formalism recover the results given by the classical formulation.

scholarly journals Multi-phase-field method for surface tension induced elasticity

2018 ◽  
Vol 97 (3) ◽  
Author(s):  
Raphael Schiedung ◽  
Ingo Steinbach ◽  
Fathollah Varnik
Keyword(s):  
Surface Tension ◽  
Phase Field ◽  
Field Method ◽  
Phase Field Method ◽  
Multi Phase

Phase Field Modeling of Hysteresis in Sessile Drops

2007 ◽  
Vol 99 (17) ◽  
Author(s):  
Srikanth Vedantam ◽  
Mahesh V. Panchagnula
Keyword(s):  
Phase Field ◽  
Phase Field Modeling ◽  
Field Modeling ◽  
Sessile Drops
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