Abstract
The force-coupling method (FCM) provides an efficient tool for computing particle motion and the flow in the surrounding fluid both in confined microflow systems and in larger scale suspensions. Here we present results for the interaction of individual particles in a shear flow showing that FCM captures reliably the changes in lift and drag forces. We note too the extension from spherical to non-spherical particles and comment on the use of FCM to analyze flow systems, bridging the gap between simulation data and macroscopic descriptions of dispersed two-phase flows.
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References
N.A. Patankar, P. Singh, D.D. Joseph, R. Glowinski and T.W. Pan, 2000, A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows, Int. J. Multiphase Flow 26, 1509–1524.
R. Glowinski, T.W. Pan, T.I. Hesla, D.D. Joseph and J. Periaux, 2001, A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: Application to particulate flow, J. Comput. Phys. 169, 363–426.
A.J.C. Ladd and R. Verberg, 2001, Lattice-Boltzmann simulations of particle-fluid suspensions, J. Stat. Phys. 104, 1191–1251.
M.R. Maxey, B.K. Patel, E.J. Chang and L.-P. Wang, 1997, Simulations of dispersed turbulent multiphase flow, Fluid Dyn. Res. 20, 143–156.
M.R. Maxey and J.J. Riley, 1983, Equation of motion for a small rigid sphere in a nonuniform flow, Phys. Fluids 26, 883–889.
S. Dong, D. Liu, M.R. Maxey and G.E. Karniadakis, 2004, Spectral distributed lagrange multiplier method: Algorithm and benchmark test, J. Comput. Phys. 195, 695–717.
M.R. Maxey and B.K. Patel, 2001, Localized force representations for particles sedimenting in stokes flow, Int. J. Multiphase Flow 9, 1603–1626.
S. Lomholt and M.R. Maxey, 2003, Force Coupling Method for particulate two-phase flow: Stokes flow, J. Comput. Phys. 184, 381–405.
G.E. Karniadakis and S.J. Sherwin, 1999, Spectral/hp Element Methods for CFD, Oxford University Press.
S.L. Dance and M.R. Maxey, 2003, Incorporation of lubrication effects into the force-coupling model for particulate two-phase flow, J. Comput. Phys. 189, 212–238.
D. Liu, M.R. Maxey and G.E. Karniadakis, 2002, A fast method for particulate micro-flows, J. Microelectromech. Syst. 11, 691–702.
D. Liu, 2004, Spectral Element/Force Coupling Method: Application to Colloidal Micro-Devices and Self-Assembly Structures in 3D Complex-Geometry Domains, Ph.D. Thesis, Brown University.
S. Lomholt, B. Stenum and M.R. Maxey, 2002, Experimental verification of the force coupling method for particulate flows, Int. J. Multiphase Flow 28, 225–246.
D. Liu, M.R. Maxey and G.E. Karniadakis, 2004, Modeling and optimization of colloidal micro-pumps, J. Micromech. Microeng. 14, 567–575.
P.G. Saffman, 1965, The lift on a small sphere in a slow shear flow, J. Fluid Mech. 22, 385–400.
J.B. McLaughlin, 1991, Inertial migration of a small sphere in linear shear flows, J. Fluid Mech. 224, 261–274.
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Maxey, M.R., Liu, D., Dong, S., Karniadakis, G.E. (2006). New Advances in Force-Coupling Method: From Micro to Macro. In: Balachandar, S., Prosperetti, A. (eds) IUTAM Symposium on Computational Approaches to Multiphase Flow. Fluid Mechanics and Its Applications, vol 81. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4977-3_24
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DOI: https://doi.org/10.1007/1-4020-4977-3_24
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