Simulation of cylindrical Poiseuille flow in multiparticle collision dynamics using explicit fluid-wall confining forces

Multiparticle collision dynamics (MPC) is a numerical technique that has been extensively used in recent years to simulate fluids supporting hydrodynamic interactions and thermal fluctuations. In this paper, we describe a method that allows MPC fluids to be confined in cavities with a complex geometry. This method is based on the introduction of an explicit repulsive interaction between the particles of the MPC fluid and the walls of the confining cavities. We apply the proposed technique in simulations of MPC fluids confined in cylindrical channels and subjected to uniform pressure gradients. We show that our method yields the correct hydrodynamic cylindrical Poiseuille flow for stick boundary conditions. We conduct an extensive numerical analysis of the method to determine the kinematic viscosity of the simulated fluid, to study finite size effects and to establish the limits for its applicability. We conclude that this technique is reliable to simulate cylindrical Poiseuille flow for a wide range of system sizes, applied pressure gradients, and viscosities and densities of the simulated fluids.

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Main Authors: Ayala-Hernández,A., Híjar,H.
Format: Digital revista
Language:English
Published: Sociedad Mexicana de Física 2016
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2016000100009
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spelling oai:scielo:S0035-001X20160001000092016-07-26Simulation of cylindrical Poiseuille flow in multiparticle collision dynamics using explicit fluid-wall confining forcesAyala-Hernández,A.Híjar,H. Hydrodynamic flow multiparticle collision dynamics fluid-solid interactions Multiparticle collision dynamics (MPC) is a numerical technique that has been extensively used in recent years to simulate fluids supporting hydrodynamic interactions and thermal fluctuations. In this paper, we describe a method that allows MPC fluids to be confined in cavities with a complex geometry. This method is based on the introduction of an explicit repulsive interaction between the particles of the MPC fluid and the walls of the confining cavities. We apply the proposed technique in simulations of MPC fluids confined in cylindrical channels and subjected to uniform pressure gradients. We show that our method yields the correct hydrodynamic cylindrical Poiseuille flow for stick boundary conditions. We conduct an extensive numerical analysis of the method to determine the kinematic viscosity of the simulated fluid, to study finite size effects and to establish the limits for its applicability. We conclude that this technique is reliable to simulate cylindrical Poiseuille flow for a wide range of system sizes, applied pressure gradients, and viscosities and densities of the simulated fluids.info:eu-repo/semantics/openAccessSociedad Mexicana de FísicaRevista mexicana de física v.62 n.1 20162016-02-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2016000100009en
institution SCIELO
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country México
countrycode MX
component Revista
access En linea
databasecode rev-scielo-mx
tag revista
region America del Norte
libraryname SciELO
language English
format Digital
author Ayala-Hernández,A.
Híjar,H.
spellingShingle Ayala-Hernández,A.
Híjar,H.
Simulation of cylindrical Poiseuille flow in multiparticle collision dynamics using explicit fluid-wall confining forces
author_facet Ayala-Hernández,A.
Híjar,H.
author_sort Ayala-Hernández,A.
title Simulation of cylindrical Poiseuille flow in multiparticle collision dynamics using explicit fluid-wall confining forces
title_short Simulation of cylindrical Poiseuille flow in multiparticle collision dynamics using explicit fluid-wall confining forces
title_full Simulation of cylindrical Poiseuille flow in multiparticle collision dynamics using explicit fluid-wall confining forces
title_fullStr Simulation of cylindrical Poiseuille flow in multiparticle collision dynamics using explicit fluid-wall confining forces
title_full_unstemmed Simulation of cylindrical Poiseuille flow in multiparticle collision dynamics using explicit fluid-wall confining forces
title_sort simulation of cylindrical poiseuille flow in multiparticle collision dynamics using explicit fluid-wall confining forces
description Multiparticle collision dynamics (MPC) is a numerical technique that has been extensively used in recent years to simulate fluids supporting hydrodynamic interactions and thermal fluctuations. In this paper, we describe a method that allows MPC fluids to be confined in cavities with a complex geometry. This method is based on the introduction of an explicit repulsive interaction between the particles of the MPC fluid and the walls of the confining cavities. We apply the proposed technique in simulations of MPC fluids confined in cylindrical channels and subjected to uniform pressure gradients. We show that our method yields the correct hydrodynamic cylindrical Poiseuille flow for stick boundary conditions. We conduct an extensive numerical analysis of the method to determine the kinematic viscosity of the simulated fluid, to study finite size effects and to establish the limits for its applicability. We conclude that this technique is reliable to simulate cylindrical Poiseuille flow for a wide range of system sizes, applied pressure gradients, and viscosities and densities of the simulated fluids.
publisher Sociedad Mexicana de Física
publishDate 2016
url http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2016000100009
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