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Front‐tracking by the level‐set and the volume penalization methods in a two‐phase microfluidic network
Author(s) -
Pinilla Johana,
Bruneau CharlesHenri,
Tancogne Sandra
Publication year - 2015
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4069
Subject(s) - newtonian fluid , compressibility , viscoelasticity , mechanics , volume of fluid method , rheology , phase (matter) , non newtonian fluid , level set method , flow (mathematics) , tracking (education) , volume (thermodynamics) , line (geometry) , set (abstract data type) , two phase flow , physics , computer science , mathematics , geometry , thermodynamics , psychology , pedagogy , quantum mechanics , segmentation , artificial intelligence , image segmentation , programming language
Summary Two‐phase immiscible fluids in a two‐dimensional micro‐channels network are considered. The incompressible Stokes equations are used to describe the Newtonian fluid flow, while the Oldroyd‐B rheological model is used to capture the viscoelastic behavior. In order to perform numerical simulations in a complex geometry like a micro‐channels network, the volume penalization method is implemented. To follow the interface between the two fluids, the level‐set method is used, and the dynamics of the contact line is modeled by Cox law. Numerical results show the ability of the method to simulate two‐phase flows and to follow properly the contact line between the two immiscible fluids. Finally, simulations with realistic parameters are performed to show the difference when a Newtonian fluid is pushed by a viscoelastic fluid instead of a Newtonian one. Copyright © 2015 John Wiley & Sons, Ltd.