High gradient magnetic particle separation in viscous flows by 3D BEM

Computational Mechanics

Volumn 51, Issue 4, 2013, Pages 465-474

  Ravnik, J ^a   Hribersek M ^a  

^a UNIVERSITY OF MARIBOR   (Slovenia)

Author keywords

Boundary element method; High gradient magnetic separation; Lagrangian particle tracking; Magnetic spheres; Velocity vorticity

Indexed keywords

BOUNDARY ELEMENT METHOD; EFFICIENCY; FLOW OF FLUIDS; FLOW VELOCITY; LAGRANGE MULTIPLIERS; MAGNETIC FIELDS; MAGNETIC SEPARATION; MAGNETISM; NAVIER STOKES EQUATIONS; SAILING VESSELS; VISCOUS FLOW; VORTICITY;

EXTERNAL MAGNETIC FIELD; HIGH GRADIENT MAGNETIC SEPARATION; LAGRANGIAN PARTICLE TRACKING; MAGNETIC FIELD GRADIENT; MAGNETIC FIELD STRENGTHS; MAGNETIC SPHERES; NONUNIFORM MAGNETIC FIELDS; PARTICLE TRACKING MODELS;

MAGNETIC BUBBLES;

EID: 84877132054     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-012-0729-3     Document Type: Conference Paper

References (32)

1. Bozkaya C, Tezer-Sezgin M (2012) A numerical solution of the steady mhd flow through infinite strips with bem. Eng Anal Bound Elem 36(4): 591-599. doi: 10.1016/j.enganabound.2011.11.005
2. Chen H, Kaminski M, Liu X, Xie Y, Mertz C, Torno M et al (2007) A novel human detoxification system based on nanoscale bioengineering and magnetic separation techniques. Med Hypotheses 68: 1071-1079
3. Chen H, Kaminski MD, Rosengart AJ (2008) 2D modeling and preliminary in vitro investigation of a prototype high gradient magnetic separator for biomedical applications. Med Eng Phys 30: 1-8
4. Ditsch A, Lindenmann S, Laibinis PE, Wang D, Hatton TA (2005) High-gradient magnetic separation of magnetic nanoclusters. Ind Eng Chem Res 44: 6824-6836
5. Florez W, Power H (2002) DRM multidomain mass conservative interpolation approach for the BEM solution of the two-dimensional Navier-Stokes equations. Comput Math Appl 43(35): 457-472. doi: 10.1016/S0898-1221(01)00298-X
6. Furlani EP (2006) Analysis of particle transport in a magnetophoretic microsystem. J Appl Phys 99: 1-11
7. Giraldo M, Power H, Florez WF (2009) Numerical simulation of the motion and deformation of a non-Newtonian shear-thinning drop suspended in a Newtonian circular Couette flow using DR-BEM. Eng Anal Bound Elem 33(1): 93-104. doi: 10.1016/j.enganabound.2008.03.003
8. Hatch G, Stelter R (2001) Magnetic design considerations for devices and particles used for biological high-gradient magnetic separation (HGMS) systems. J Magn Magn Mater 225: 262-276
9. Kaminski MD, Rosengart AJ (2005) Detoxification of blood using injectable magnetic nanospheres: a conceptual technology description. J Magn Magn Mater 293: 398-403
10. Maxey M, Riley J (1983) Equation of motion for a small rigid sphere in a nonuniform flow. Phys Fluids 26: 883-889
11. Moeser GD, Roach KA, Green WH, Hatton TA (2004) High-gradient magnetic separation of coated magnetic nanoparticles. AIChE J 50: 2835-2848
12. Nakamura M, Decker K, Chosy J, Comella K, Melnik K, Moore L et al (2001) Separation of a breast cancer cell line from human blood using a quadrupole magnetic flow sorter. Biotechnol Prog 17: 1145-1155
13. Pankhurst Q, Connolly J, Jones S, Dobson J (2003) Applications of magnetic nanoparticles in biomedicine. J Phys D 36: R167-R181
14. Peeters H (2006) Analysis and exploitation of field imperfections in magnetic resonance imaging. PhD thesis, Utrecht University
15. Pekas N, Granger M, Tondra M, Popple A, Porter M (2005) Magnetic particle diverter in an integrated microfluidic format. J Magn Magn Mater 293: 584-588
16. Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1997) Numerical recipes - the art of scientific computing, 2nd edn. Cambridge University Press, Cambridge
17. Goleman R (2004) Macroscopic model of particles capture by the elliptic cross-section collector in magnetic separator. J Magn Magn Mater 272-276:2348-2349
18. Ravnik J, Škerget L, Hriberšek M (2006) 2D velocity vorticity based LES for the solution of natural convection in a differentially heated enclosure by wavelet transform based BEM and FEM. Eng Anal Bound Elem 30: 671-686
19. Ravnik J, Škerget L, Hriberšek M, Žunič Z (2008) Numerical simulation of dilute particle laden flows by wavelet BEM-FEM. Comput Meth Appl Mech Eng 197/6-8:789-805. doi: 10.1016/j.cma.2007.09.007
20. Ravnik J, Škerget L, Žunič Z (2008) Velocity-vorticity formulation for 3D natural convection in an inclined enclosure by BEM. Int J Heat Mass Transf 51: 4517-4527. doi: 10.1016/j.ijheatmasstransfer.2008.01.018
21. Ravnik J, Škerget L, Žunič Z (2009) Combined single domain and subdomain BEM for 3D laminar viscous flow. Eng Anal Bound Elem 33: 420-424. doi: 10.1016/j.enganabound.2008.06.006
22. Ritter J, Ebner A, Daniel K, Stewart KL (2004) Application of high gradient magnetic separation principles to magnetic drug targeting. J Magn Magn Mater 280: 184-201
23. Sellountos E, Sequeira A (2008) A hybrid multi-region BEM / LBIE-RBF velocity-vorticity scheme for the two-dimensional Navier-Stokes equations. CMES Comput Methods Eng Sci 23: 127-147
24. Sellountos EJ, Sequeira A (2008) An advanced meshless LBIE/RBF method for solving two-dimensional incompressible fluid flows. Comput Mech 41: 617-631
25. Singh H, Laibinis P, Hatton T (2005) Rigid, superparamagnetic chains of permanently linked beads coated with magnetic nanoparticles. Synthesis and rotational dynamics under applied magnetic fields. Langmuir 21: 11500-11509
26. Stuart DC, Kleijn C, Kenjeres S (2011) An efficient and robust method for lagrangian magnetic particle tracking in fluid flow simulations on unstructured grids. Comput Fluids 40(1): 188-194. doi: 10.1016/j.compfluid.2010.09.001
27. Svoboda J, Ross V (1989) Particle capture in the matrix of a magnetic separator. Int J Miner Process 27: 75-94
28. Škerget L, Hriberšek M, Žunič Z (2003) Natural convection flows in complex cavities by BEM. Int J Num Methods Heat Fluid 13: 720-735
29. Tsutsui H, Ho CM (2009) Cell separation by non-inertial force fields in microfluidic systems. Mech Res Commun 36: 92-103
30. Yang J, Park J, Lee J, Cha B, Song Y, Yoon HG, Huh YM, Haam S (2007) Motions of magnetic nanosphere under the magnetic field in the rectangular microchannel. J Magn Magn Mater 317(1-2): 34-40. doi: 10.1016/j.jmmm.2007.04.008
31. Ying TY, Yiacoumi S, Tsouris C (2000) High-gradient magnetically seeded filtration. Chem Eng Sci 55: 1101-1113
32. Žunič Z, Hriberšek M, Škerget L, Ravnik J (2007) 3-D boundary element-finite element method for velocity-vorticity formulation of the Navier-Stokes equations. Eng Anal Bound Elem 31: 259-266. doi: 10.1016/j.enganabound.2006.09.001