Simulation of viscous sintering using the lattice Boltzmann method

Modelling and Simulation in Materials Science and Engineering

Volumn 21, Issue 2, 2013, Pages

  Varnik, F ^a   Rios, A ^a   Gross, M ^a   Steinbach, I ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC THEORY; CONTACT ZONE; DRIVING FORCES; EFFECTIVE VISCOSITY; INTERGRANULAR; LATTICE BOLTZMANN METHOD; LATTICE BOLTZMANN SIMULATIONS; NON IDEALS; POROUS GLASS; POWDER MATERIAL; RESCALING; SINTERING PROCESS; SPHERICAL PARTICLE; SURFACE FREE ENERGY; TIME DEPENDENCE; TRANSPORT MECHANISM; TWO PHASE; VISCOUS SINTERING;

COALESCENCE; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; DYNAMICS; SHEAR FLOW;

SINTERING;

EID: 84874327201     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/21/2/025003     Document Type: Article

References (61)

1. Anderson D M, McFadden G B and Wheeler A A 1998 Annu. Rev. Fluid. Mech. 30 139
2. Barg S, Koch D, Pulkin M and Grathwohl G 2008 J. Mater. Sci. 43 483 (Pubitemid 350275894)
3. Bellehumeur C T, Bisaria M K and Vlachopoulos J 1996 Polym. Eng. Sci. 36 2198
4. Benzi R et al 2006 Phys. Rev. E 74 021509 (Pubitemid 44319276)
5. Boccaccini A R 1998 Mater. Lett. 34 285
6. Brinker C J and Scherer G W 1990 Sol-Gel Science (New York: Academic)
7. Bullard J W 1997 J. Appl. Phys. 81 159
8. Chapman S and Cowling T G 1991 The Mathematical Theory of Nonuniform Gases 3rd edn (Cambridge: Cambridge University Press)
9. Chiang Y M, Birnie D P III and Kingery W D 1997 Physical Ceramics. Principles for Ceramic Science and Engineering (New York: Wiley) pp 392-8
10. Cosgrove G J, Strozier J A J and Seigie L L 1976 J. Appl. Phys. 47 1258
11. Crowdy D 2003 Eur. J. Appl. Math. 14 421 (Pubitemid 37023135)
12. Dellar P J 2001 Phys. Rev. E 64 031203
13. Djohari H, Martínez-Herrera J I and Derby J J 2009 Chem. Eng. Sci. 64 3799
14. Eggers J, Lister J R and Stone H A 1999 J. Fluid. Mech. 401 293
15. Eggersdorfer M L, Kadau D, Herrmann H J and Pratsinis S E 2011 Langmuir 27 6358
16. Frenkel J 1945 J. Phys. (Moscow) 9 385
17. Garabedian R S and Helble J J 2000 J. Colloid Interface Sci. 234 248
18. Giess E A, Fletcher J P and Herron L W 1984 Am. Ceram. Soc. 67 549
19. German R M 1996 Sintering Theory and Practice (New York: Wiley-VCH)
20. Gross M, Moradi N, Zikos G and Varnik F 2011 Phys. Rev. E 83 017701
21. Gross M, Varnik F, Raabe D and Steinbach I 2010 Phys. Rev. E 81 051606
22. Guo Z, Zheng C and Shi B 2002 Phys. Rev. E 65 046308 (Pubitemid 40618993)
23. Hansen J P and McDonald I R 2006 Theory of Simple Liquids (Amsterdam: Elsevier)
24. He X and Luo L-S 1997 Phys. Rev. E 55 R6333
25. He X and Luo L-S 1997 Phys. Rev. E 56 6811
26. Hooper R, Macosko C W and Derby J J 2000 Chem. Eng. Sci. 55 5733
27. Hopper R W 1984 J. Am. Ceram. Soc. 67 C262
28. Hopper R W 1990 J. Fluid. Mech. 213 349
29. Jagota A and Dawson P R 1990 J. Am. Ceram. Soc. 73 173
30. Jamet D, Lebaigue O, Coutris N and Delhaye J M 2001 J. Comput. Phys. 624 169
31. Kang S-J 2005 Sintering. Densification, Grain Growth & Microstructure (Oxford: Elsevier Butterworth Heinemann)
32. Hiram Y and Nir A 1983 J. Colloid Interface Sci. 95 462
33. Kingery W D and Berg M 1955 J. Appl. Phys. 26 1205
34. Kirchhof M J, Schmid H-J and Peukert W 2009 Phys. Rev. E 80 026319
35. Kraft T and Riedel H 2004 J. Eur. Ceram. Soc. 24 345 (Pubitemid 37554318)
36. Krüger T and Varnik F 2009 Phys. Rev. E 79 046704
37. Kuczynski G C 1980 Sintering Processes (New York: Plenum)
38. Kuiken H K 1990 J. Fluid Mech. 214 503
39. Ladd A J C and Verberg R 2001 J. Stat. Phys. 104 1191
40. Lee T and Liu L 2008 Phys. Rev. E 78 017702
41. Lee T and Fischer P F 2006 Phys. Rev. E 74 046709 (Pubitemid 44643625)
42. Lee et al 2003 J. Am. Ceram. Soc. 86 1803
43. Liboff R L 2003 Kinetic Theory 3rd edn (Berlin: Springer)
44. Martínez-Herrera J I and Derby J J 1995 J. Am. Ceram. Soc. 78 645
45. Olevsky E A, Tikare V and Garino T 2006 J. Am. Ceram. Soc. 89 1914 (Pubitemid 43832920)
46. Prado M O et al 2001 J. Non-Cryst. Solids 279 169 (Pubitemid 32196044)
47. Rabinovich E M 1985 J. Mater. Sci. 20 4259
48. Rahaman M N 2003 Ceramic Processing and Sintering (London: Taylor and Francis)
49. Ross J W, Miller W A and Weatherly G C 1981 J. Appl. Phys. 52 3884 (Pubitemid 12430306)
50. Rowlinson J S and Widom B 1982 Molecular Theory of Capillarity (New York: Dover)
51. Scherer G W 1977 J. Am. Ceram. Soc. 60 236
52. Scherer G W 1991 J. Am. Ceram. Soc. 74 1523
53. Scherer G W, Calas S and Sempéré R 1998 J. Non-Cryst. Solids 240 118
54. Schön J C et al 1992 J. Appl. Phys. 71 3266
55. Succi S 2001 The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Oxford: Oxford University Press)
56. Van de Vorst G A L 1988 J. Am. Ceram. Soc. 81 2147-56
57. Varnik F, Dorner D and Raabe D 2007 J. Fluid Mech. 573 191 (Pubitemid 46322133)
58. Yadha V and Helble J J 2004 J. Aerosol Sci. 35 665 (Pubitemid 38668667)
59. Zanotto E D and Prado M O 2001 Phys. Chem. Glass 42 191
60. Zhou H and Derby J J 1998 J. Am. Ceram. Soc. 81 533
61. Zhou H and Derby J J 2001 Int. J. Numer. Methods Fluids 36 841 (Pubitemid 32731817)