Lattice Boltzmann simulations of phase separation in chemically reactive binary fluids
We use a lattice Boltzmann methods to study pattern formation in chemically reactive binary fluids in the regime where hydrodynamic effects are important. The coupled equations solved by the method are a Cahn-Hilliard equation, modified by the inclusion of a reactive source term, and the Navier-Stok...
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Format: | Journal article |
Language: | English |
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American Physical Society
2006
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author | Furtado, K Yeomans, J |
author_facet | Furtado, K Yeomans, J |
author_sort | Furtado, K |
collection | OXFORD |
description | We use a lattice Boltzmann methods to study pattern formation in chemically reactive binary fluids in the regime where hydrodynamic effects are important. The coupled equations solved by the method are a Cahn-Hilliard equation, modified by the inclusion of a reactive source term, and the Navier-Stokes equations for conservation of mass and momentum. The coupling is twofold, resulting from the advection of the order parameter by the velocity field and the effect of fluid composition on pressure. We study the evolution of the system following a critical quench for a linear and for a quadratic reaction source term. Comparison is made between the high and low viscosity regimes to identify the influence of hydrodynamic flows. In both cases hydrodynamics is found to influence the pathways available for domain growth and the eventual steady states. |
first_indexed | 2024-03-07T00:06:55Z |
format | Journal article |
id | oxford-uuid:77da0aa3-b3a0-4743-b96f-c4ac0f7ea0bd |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T00:06:55Z |
publishDate | 2006 |
publisher | American Physical Society |
record_format | dspace |
spelling | oxford-uuid:77da0aa3-b3a0-4743-b96f-c4ac0f7ea0bd2022-03-26T20:26:51ZLattice Boltzmann simulations of phase separation in chemically reactive binary fluidsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:77da0aa3-b3a0-4743-b96f-c4ac0f7ea0bdPhysicsTheoretical physicsEnglishOxford University Research Archive - ValetAmerican Physical Society2006Furtado, KYeomans, JWe use a lattice Boltzmann methods to study pattern formation in chemically reactive binary fluids in the regime where hydrodynamic effects are important. The coupled equations solved by the method are a Cahn-Hilliard equation, modified by the inclusion of a reactive source term, and the Navier-Stokes equations for conservation of mass and momentum. The coupling is twofold, resulting from the advection of the order parameter by the velocity field and the effect of fluid composition on pressure. We study the evolution of the system following a critical quench for a linear and for a quadratic reaction source term. Comparison is made between the high and low viscosity regimes to identify the influence of hydrodynamic flows. In both cases hydrodynamics is found to influence the pathways available for domain growth and the eventual steady states. |
spellingShingle | Physics Theoretical physics Furtado, K Yeomans, J Lattice Boltzmann simulations of phase separation in chemically reactive binary fluids |
title | Lattice Boltzmann simulations of phase separation in chemically reactive binary fluids |
title_full | Lattice Boltzmann simulations of phase separation in chemically reactive binary fluids |
title_fullStr | Lattice Boltzmann simulations of phase separation in chemically reactive binary fluids |
title_full_unstemmed | Lattice Boltzmann simulations of phase separation in chemically reactive binary fluids |
title_short | Lattice Boltzmann simulations of phase separation in chemically reactive binary fluids |
title_sort | lattice boltzmann simulations of phase separation in chemically reactive binary fluids |
topic | Physics Theoretical physics |
work_keys_str_mv | AT furtadok latticeboltzmannsimulationsofphaseseparationinchemicallyreactivebinaryfluids AT yeomansj latticeboltzmannsimulationsofphaseseparationinchemicallyreactivebinaryfluids |