scholarly journals Analysis of a diffuse-interface model for the binary viscous incompressible fluids with thermo-induced Marangoni effects

2013 ◽  
Vol 11 (2) ◽  
pp. 603-633 ◽  
Author(s):  
Hao Wu ◽  
Xiang Xu
Keyword(s):  
Incompressible Fluids ◽  
Diffuse Interface ◽  
Interface Model ◽  
Diffuse Interface Model ◽  
Marangoni Effects

A quasi-incompressible diffuse interface model with phase transition

2014 ◽  
Vol 24 (05) ◽  
pp. 827-861 ◽  
Author(s):  
Gonca L. Aki ◽  
Wolfgang Dreyer ◽  
Jan Giesselmann ◽  
Christiane Kraus
Keyword(s):  
Stokes Equations ◽  
Incompressible Fluids ◽  
The Other ◽  
Diffuse Interface ◽  
Navier Stokes ◽  
Interface Model ◽  
Diffuse Interface Model ◽  
Navier Stokes Equations ◽  
Interfacial Conditions ◽  
Two Component

This work introduces a new thermodynamically consistent diffuse model for two-component flows of incompressible fluids. For the introduced diffuse interface model, we investigate physically admissible sharp interface limits by matched asymptotic techniques. To this end, we consider two scaling regimes where in one case we recover the Euler equations and in the other case the Navier–Stokes equations in the bulk phases equipped with admissible interfacial conditions. For the Navier–Stokes regime, we further assume the densities of the fluids are close to each other in the sense of a small parameter which is related to the interfacial thickness of the diffuse model.

scholarly journals On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids

2015 ◽  
Vol 35 (6) ◽  
pp. 2497-2522 ◽  
Author(s):  
Michela Eleuteri ◽  
◽  
Elisabetta Rocca ◽  
Giulio Schimperna ◽  
◽  
...  
Keyword(s):  
Incompressible Fluids ◽  
Diffuse Interface ◽  
Interface Model ◽  
Two Phase Flows ◽  
Diffuse Interface Model ◽  
Two Phase
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