Motion of a spherical particle in a cylindrical channel using arbitrary Lagrangian-Eulerian method

Journal of Colloid and Interface Science

Volumn 317, Issue 2, 2008, Pages 620-630

  Al Quddus, Noor ^a   Moussa, Walied A ^a   Bhattacharjee, Subir ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Arbitrary Lagrangian Eulerian; Cylindrical capillary; Finite channel; Particle motion; Wall correction factor

Indexed keywords

CORRELATION METHODS; FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS;

CYLINDRICAL CAPILLARY; FINITE CHANNELS; INFINITE CHANNELS; PARTICLE MOTION; WALL CORRECTION FACTORS;

ELEMENTARY PARTICLES;

ARTICLE; CHANNEL GATING; CHEMICAL ANALYSIS; CORRELATIONAL STUDY; FLUID FLOW; KINEMATICS; LAGRANGIAN EULERIAN METHOD; PARTICLE MOTION; PARTICLE SIZE; PARTICULATE MATTER; PRIORITY JOURNAL;

EID: 36148961601     PISSN: 00219797     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcis.2007.09.060     Document Type: Article

References (47)

1. Bhattacharjee S., Chen J.C., and Elimelech M. AIChE J. 47 12 (2001) 2733-2745
2. Nghiem L.D., Schafer A.I., and Elimelech M. Environ. Sci. Technol. 38 (2004) 1888-1896
3. Deen W.M. AIChE J. 33 9 (1987) 1409-1425
4. Dechadilok P., and Deen W.M. Ind. Eng. Chem. Res. 45 21 (2006) 6953-6959
5. Thommes J., and Kula M.-R. Biotechnol. Prog. 11 (1995) 357-367
6. Squires T.M., and Quake S.R. Rev. Mod. Phys. 77 3 (2005) 977-1026
7. Ladenburg R. Ann. Phys. 23 8 (1907) 447-458
8. Faxen H. Ann. Phys. 68 10 (1922) 89-119
9. Pappenheimer J.R., Renkin E.M., and Borrero L.M. Am. J. Physiol. 167 1 (1951) 13-46
10. Wakiya S. J. Phys. Soc. Jpn. 8 2 (1953) 254-257
11. Renkin E.M. J. Gen. Physiol. 38 2 (1954) 225-243
12. Happel J., and Byrne B.J. Ind. Eng. Chem. 46 6 (1954) 1181-1186
13. W. Haberman, R. Sayer, Tech. Rep. David W. Taylor Basin Report No. 1143, U.S. Navy, Washington, DC, 1958
14. Bohlin T. Trans. R. Inst. Technol. 155 3 (1960) 63
15. Wang H., and Skalak R. J. Fluid Mech. 38 (1969) 75
16. Cox R.G., and Mason S.G. Annu. Rev. Fluid Mech. 3 (1971) 291-316
17. Bungay P.M., and Brenner H. Int. J. Multiphase Flow 1 1 (1973) 25-56
18. Anderson J.L., and Quinn J.A. Biophys. J. 14 2 (1974) 130-150
19. Paine P.L., and Scherr P. Biophys. J. 15 10 (1975) 1087-1091
20. Happel J., and Brenner H. Low Reynolds Number Hydrodynamics. second ed. (1973), Noordhoff International Publishing, Leyden
21. Iwaoka M., and Ishii T. J. Chem. Eng. Jpn. 12 3 (1979) 239-242
22. Ambari A., Gauthiermanuel B., and Guyon E. J. Fluid Mech. 149 (1984) 235-253
23. Staben M.E., and Davis R.H. Int. J. Multiphase Flow 31 5 (2005) 529-547
24. Bowen W.R., and Sharif A.O. J. Colloid Interface Sci. 168 2 (1994) 414-421
25. Feng Z.G., and Michaelides E.E. Int. J. Multiphase Flow 28 3 (2002) 479-496
26. Higdon J.J.L., and Muldowney G.P. J. Fluid Mech. 298 (1995) 193-210
27. Ben Richou A., Ambari A., and Naciri J.K. Eur. Phys. J. Appl. Phys. 24 2 (2003) 153-165
28. Weibel D.B., and Whitesides G.M. Curr. Opin. Chem. Biol. 10 6 (2006) 584-591
29. Laser D.J., and Santiago J.G. J. Micromech. Microeng. 14 6 (2004) R35-R64
30. Dittrich P.S., and Manz A. Nat. Rev. Drug Discovery 5 3 (2006) 210-218
31. Beebe D.J., Mensing G.A., and Walker G.M. Annu. Rev. Biomed. Eng. 4 (2002) 261-286
32. de Jong J., Lammertink R.G.H., and Wessling M. Lab Chip 6 9 (2006) 1125-1139
33. Harlow F.H., and Welch J.E. Phys. Fluids 8 12 (1965) 2182
34. Hirt C.W., Amsden A.A., and Cook J.L. J. Comput. Phys. 14 3 (1974) 227-253
35. Le Tallec P., and Mouro J. Comput. Methods Appl. Mech. Eng. 190 24-25 (2001) 3039-3067
36. Sarrate J., Huerta A., and Donea J. Comput. Methods Appl. Mech. Eng. 190 24-25 (2001) 3171-3188
37. Hu H.H., Patankar N.A., and Zhu M.Y. J. Comput. Phys. 169 2 (2001) 427-462
38. Fernandez M.A., and Moubachir M. Math. Models Methods Appl. Sci. 12 8 (2002) 1109-1130
39. Donea J., Huerta A., Ponthot J.-P., and Rodriguez-Ferran A. In: Stien E., de Borst R., and Hughes J.R. (Eds). Encyclopedia of Computational Mechanics, vol. 1, Fundamentals (2004), John Wiley & Sons (Chapter 14)
40. Bowen W.R., and Sharif A.O. Colloids Surf. A Physicochem. Eng. Aspects 201 (2002) 207-217
41. Brown P.N., Hindmarsh A.C., and Petzold L.R. SIAM J. Sci. Comput. 15 6 (1994) 1467-1488
42. Deuflhard P. Numer. Math. 22 4 (1974) 289-315
43. Davis T.A., and Duff I.S. SIAM J. Matrix Anal. Appl. 18 1 (1997) 140-158
44. Cox R.G., and Brenner H. Chem. Eng. Sci. 22 (1967) 1753-1777
45. Xuan X., and Li D. J. Micromech. Microeng. 16 (2006) 62-69
46. Quddus N., Bhattacharjee S., and Moussa W. Can. J. Chem. Eng. 84 (2006) 10-16
47. Ye C., and Li D. J. Colloid Interface Sci. 272 (2004) 480-488