Combination of the direct-forcing fictitious domain method and the sharp interface method for the three-dimensional dielectrophoresis of particles

Powder Technology

Volumn 210, Issue 1, 2011, Pages 52-59

  Shi, Yang ^a   Yu, Zhaosheng ^a   Shao, Xueming ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Dielectrophoresis; Direct numerical simulation; Direct forcing fictitious domain method; Maxwell stress tensor method; Sharp interface method

Indexed keywords

DIELECTROPHORESIS; DIRECT-FORCING FICTITIOUS DOMAIN METHOD; MAXWELL STRESS TENSOR METHOD; NUMERICAL SIMULATION; SHARP INTERFACE METHODS;

DIELECTRIC DEVICES; DIRECT NUMERICAL SIMULATION; ELECTRIC FIELDS; ELECTROPHORESIS; ELECTROSTATIC DEVICES; ELECTROSTATIC FORCE; LAPLACE EQUATION; MAXWELL EQUATIONS; NUMERICAL METHODS; TENSORS;

AGGLOMERATION;

ACCURACY; ARTICLE; DIRECT FORCING FICTITIOUS DOMAIN METHOD; ELECTRIC FIELD; ELECTROPHORESIS; FLOW KINETICS; FLOW RATE; FORCE; HYDRODYNAMICS; MATHEMATICAL ANALYSIS; MAXWELL STRESS TENSOR; PARTICLE SIZE; SHARP INTERFACE METHOD; THREE DIMENSIONAL ELECTROPHORESIS;

EID: 79953312429     PISSN: 00325910     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.powtec.2011.02.022     Document Type: Article

References (32)

1. Pohi H.A. Dielectrophoresis 1978, Cambridge University Press, Cambridge.
2. Green N.G., Morgan H., Monaghan W., Robertson M. Fabrication of micro-electrode arrays for biotechnological applications. Microelectron. Eng. 1999, 46:397-400.
3. Gascoyne P.R.C., Vykoukal J. Particle separation by dielectrophoresis. Electrophoresis 2002, 23:1973-1983.
4. Wang X.B., Yang J., Huang Y., Vykoukal J., Becker F.F., Gascoyne P.R.C. Cell separation by dielectrophoretic field-flow-fractionation. Anal. Chem. 2000, 72:832-839.
5. Huang Y., Wang X.B., Becker F.F., Gascoyne P.R.C. Introducing dielectrophoresis as a new force field for field-flow fractionation. Biophys. J. 1997, 73:1118-1129.
6. Schnelle T., Muller T., Reichle C., Fuhr G. Combined dielectrophoretic field cages and laser tweezers for electrotation. Appl. Phys. B 2000, 70:267-274.
7. Jones T.B. Electromechanics of Particles 1995, Cambridge University Press, Cambridge.
8. Aubry N., Singh P. Influence of particle-particle interactions and particles rotational motion in traveling wave dielectrophoresis. Electrophoresis 2006, 27:703-715.
9. Kadaksham A.T.J., Singh P., Aubry N. Dielectrophoresis of nanoparticles. Electrophoresis 2004, 25:3625-3632.
10. Rosales C., Lim K.M. Numerical comparison between Maxwell stress method and equivalent multipole approach for calculation of the dielectrophoretic force in single-cell traps. Electrophoresis 2005, 26:2057-2065.
11. Singh P., Aubry N. Trapping force on a finite-sized particle in a dielectrophoretic cage. Phys. Rev. E 2005, 72:016602.
12. Wang X.J., Wang X.B., Gascoyne P.R.C. General expressions for dielectrophoretic force and electrorotational torque derived using the Maxwell stress tensor method. J. Electrostat. 1997, 39:277-295.
13. Le D.V., Rosales C., Khoo B.C., Peraire J. Numerical design of electrical-mechanical traps. Lab Chip 2008, 8:755-763.
14. Liu Y., Liu W.K., Belytschko T., Patankar N., To A.C., Kopacz A., Chung J.H. Immersed electrokinetic finite element method. Int. J. Numer. Meth. Eng. 2007, 71:379-405.
15. Kim K., Nakayama Y., Yamamoto R. Direct numerical simulations of electrophoresis of charged colloids. Phys. Rev. Lett. 2006, 96:208302.
16. Capuani F., Pagonabarraga I., Frenkel D. Lattice-Boltzmann simulation of the sedimentation of charged disks. J. Chem. Phys. 2006, 124:124903.
17. Liu H., Bau H.H., Hu H.H. Electrophoresis of concentrically and eccentrically positioned cylindrical particles in a long tube. Langmuir 2004, 20:2628-2639.
18. Yu Z., Shao X. A direct-forcing fictitious domain method for particulate flows. J. Comput. Phys. 2007, 227:292-314.
19. Glowinski R., Pan T.W., Periaux J. A fictitious domain method for Dirichlet problems and applications. Comput. Meth. Appl. Mech. Eng. 1994, 111:283-303.
20. Glowinski R., Pan T.W., Hesla T.I., Joseph D.D. A distributed Lagrange multiplier/fictitious domain method for particulate flows. Int. J. Multiph. Flow 1999, 25:755-794.
21. Glowinski R., Pan T.W., Hesla T.I., Joseph D.D., Periaux J. A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. J. Comput. Phys. 2001, 169:363-426.
22. Yu Z.S., Shao X.M., Wachs A. A fictitious domain method for particulate flows with heat transfer. J. Comput. Phys. 2006, 217:424-452.
23. Liu X.D., Fedkiw R.P., Kang M. A boundary condition capturing method for Poisson's equation on irregular domains. J. Comput. Phys. 2000, 160:151-178.
24. Liu H., Krishnan S., Marella S., Udaykumar H.S. Sharp interface Cartesian grid method II: a technique for simulating droplet interactions with surfaces of arbitrary shape. J. Comput. Phys. 2005, 210:32-54.
25. Kang M., Fedkiw R.P. A boundary condition capturing method for multiphase incompressible flow. SIAM J. Sci. Comput. 2000, 15:323-360.
26. Gibou F., Fedkiw R.P., Caflisch R., Osher S. A level set approach for the numerical simulation of dendritic growth. SIAM J. Sci. Comput. 2003, 19:183-199.
27. Udaykumar H.S., Mao L. Sharp-interface simulation of dendritic solidification of solutions. Int. J. Heat Mass Transfer 2002, 45:4793-4808.
28. Cao J., Cheng P., Hong F.J. A numerical analysis of forces imposed on particles in conventional dielectrophoresis in microchannels with interdigitated electrodes. J. Electrostat. 2008, 66:620-626.
29. Klingenberg D.J., van Swoi F., Zukoski C.F. Dynamics simulation of electrorheological suspensions. J. Chem. Phys. 1989, 91:7888-7895.
30. Limsimarat A., Techaumnat B. Dynamic simulation using a multipolar model of particles under dielectrophoretic force. J. Electrostat. 2007, 65:672-679.
31. Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P. Numerical Recipes in FORTRAN: The Art of Scientific Computing 1992, University Press, Cambridge.
32. Shi Y., Yu Z., Shao X. Combination of the direct-forcing fictitious domain method and the sharp interface method for the dielectrophoresis of particles. Particuology 2010, 8:351-359.