Faraday instability of binary miscible/immiscible fluids with phase field approach

2021 ◽  
Vol 6 (6) ◽  
Author(s):  
M. Bestehorn ◽  
D. Sharma ◽  
R. Borcia ◽  
S. Amiroudine
Keyword(s):  
Phase Field ◽  
Immiscible Fluids ◽  
Field Approach ◽  
Faraday Instability

scholarly journals Rayleigh–Taylor instability in a viscoelastic binary fluid

2010 ◽  
Vol 643 ◽  
pp. 127-136 ◽  
Author(s):  
GUIDO BOFFETTA ◽  
ANDREA MAZZINO ◽  
STEFANO MUSACCHIO ◽  
LARA VOZELLA
Keyword(s):  
Growth Rate ◽  
Phase Field ◽  
Fluid Model ◽  
Viscoelastic Model ◽  
Immiscible Fluids ◽  
Binary Fluid ◽  
Field Approach ◽  
Pure Solvent ◽  
Rayleigh Taylor Instability ◽  
Rt Instability

The effects of polymer additives on Rayleigh–Taylor (RT) instability of immiscible fluids is investigated using the Oldroyd-B viscoelastic model. Analytic results obtained exploiting the phase-field approach show that in polymer solution the growth rate of the instability speeds up with elasticity (but remains slower than in the pure solvent case). Numerical simulations of the viscoelastic binary fluid model confirm this picture.

scholarly journals On a phase-field approach to model fracture of small intestine walls

2021 ◽  
Author(s):  
Sindhu Nagaraja ◽  
Kay Leichsenring ◽  
Marreddy Ambati ◽  
Laura De Lorenzis ◽  
Markus Böl
Keyword(s):  
Small Intestine ◽  
Phase Field ◽  
Field Approach

Computational modelling of copolymers using a phase field approach

2020 ◽  
Author(s):  
D. Kay ◽  
V. Styles ◽  
A. Münch ◽  
Q. Parsons
Keyword(s):  
Phase Field ◽  
Computational Modelling ◽  
Field Approach

scholarly journals A ternary Cahn–Hilliard–Navier–Stokes model for two-phase flow with precipitation and dissolution

2020 ◽  
pp. 1-35
Author(s):  
Christian Rohde ◽  
Lars von Wolff
Keyword(s):  
Phase Field ◽  
Stokes Equations ◽  
Solid Phase ◽  
Immiscible Fluids ◽  
Sharp Interface ◽  
Ion Concentration ◽  
Navier Stokes ◽  
Interface Model ◽  
Sharp Interface Model ◽  
Two Phase

We consider the incompressible flow of two immiscible fluids in the presence of a solid phase that undergoes changes in time due to precipitation and dissolution effects. Based on a seminal sharp interface model a phase-field approach is suggested that couples the Navier–Stokes equations and the solid’s ion concentration transport equation with the Cahn–Hilliard evolution for the phase fields. The model is shown to preserve the fundamental conservation constraints and to obey the second law of thermodynamics for a novel free energy formulation. An extended analysis for vanishing interfacial width reveals that in this limit the sharp interface model is recovered, including all relevant transmission conditions. Notably, the new phase-field model is able to realize Navier-slip conditions for solid–fluid interfaces in the limit.

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