First passage calculation of the conductivity of particle aggregate-laden suspensions and composites

Powder Technology

Volumn 218, Issue , 2012, Pages 31-39

  Thajudeen, Thaseem ^a   Hogan, Christopher J ^a  

^a University of Minnesota   (United States)

Author keywords

Composites; Conduction; First passage simulations; Nanofluids; Particle aggregates; Suspensions

Indexed keywords

AGGREGATE FORMATION; AGGREGATE MORPHOLOGY; ANOMALOUS CONDUCTIVITY; DENSE STRUCTURES; EFFECTIVE MEDIUM APPROXIMATION; ENHANCED CONDUCTIVITY; FIRST-PASSAGE; HIGH CONDUCTIVITY; LINEAR STRUCTURES; LOW CONDUCTIVITY; MATERIAL CONDUCTIVITIES; MATRIX; MORPHOLOGICAL DESCRIPTORS; MULTI PHASE SYSTEMS; NANOFLUIDS; PARTICLE AGGREGATES; PARTICLE AGGREGATION; PARTICLE CONDUCTIVITY; PARTICLE VOLUME FRACTIONS; PREEXPONENTIAL FACTOR; PRIMARY PARTICLES; SEQUENTIAL ALGORITHM; SIMULATION TECHNIQUE; SPHERICAL PARTICLE; WELL-DISPERSED;

AGGREGATES; COALESCENCE; COMPOSITE MATERIALS; FRACTAL DIMENSION; HEAT CONDUCTION; SUSPENSIONS (FLUIDS); VOLUME FRACTION;

AGGLOMERATION;

ALGORITHM; ARTICLE; COMPOSITE MATERIAL; CONTROLLED STUDY; INTERMETHOD COMPARISON; MATERIALS TESTING; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; MOLECULAR WEIGHT; PARTICLE SIZE; PROCESS DEVELOPMENT; PROCESS OPTIMIZATION; SUSPENSION; THERMAL CONDUCTIVITY; VALIDATION PROCESS;

EID: 84855835440     PISSN: 00325910     EISSN: 1873328X     Source Type: Journal    
DOI: 10.1016/j.powtec.2011.11.028     Document Type: Article

References (82)

1. Kim I.C., Torquato S. Effective conductivity of suspensions of overlapping spheres. Journal of Applied Physics 1992, 71(6):2727-2735.
2. Torquato S., Kim I.C., Cule D. Effective conductivity, dielectric constant, and diffusion coefficient of digitized composite media via first-passage-time equations. Journal of Applied Physics 1999, 85(3):1560-1571.
3. Torquato S. Effective electrical-conductivity of 2-phase disordered composite media. Journal of Applied Physics 1985, 58(10):3790-3797.
4. Kim I.C., Torquato S. Effective conductivity of composites containing spheroidal inclusions - comparison of simulations with theory. Journal of Applied Physics 1993, 74(3):1844-1854.
5. Torquato S., Lado F. Trapping constant, thermal-conductivity, and the microstructure of suspensions of oriented spheroids. Journal of Chemical Physics 1991, 94(6):4453-4462.
6. Beasley J.D., Torquato S. Bounds on the conductivity of a suspension of random impenetrable spheres. Journal of Applied Physics 1986, 60(10):3576-3581.
7. Torquato S., Stell G. Bounds on the effective thermal-conductivity of a dispersion of fully penetrable spheres. International Journal of Engineering Science 1985, 23(3):375-383.
8. Xie H.Q., Wang J.C., Xi T.G., Liu Y., Ai F., Wu Q.R. Thermal conductivity enhancement of suspensions containing nanosized alumina particles. Journal of Applied Physics 2002, 91(7):4568-4572.
9. Wang X.W., Xu X.F., Choi S.U.S. Thermal conductivity of nanoparticle-fluid mixture. Journal of Thermophysics and Heat Transfer 1999, 13(4):474-480.
10. Yu W.H., France D.M., Routbort J.L., Choi S.U.S. Review and comparison of nanofluid thermal conductivity and heat transfer enhancements. Heat Transfer Engineering 2008, 29(5):432-460.
11. Eastman J.A., Choi S.U.S., Li S., Yu W., Thompson L.J. Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles. Applied Physics Letters 2001, 78(6):718-720.
12. Schürmann U., Takele H., Zaporojtchenko V., Faupel F. Optical and electrical properties of polymer metal nanocomposites prepared by magnetron co-sputtering. Thin Solid Films 2006, 515(2):801-804.
13. Jäger K.-M., McQueen D.H. Fractal agglomerates and electrical conductivity in carbon black polymer composites. Polymer 2001, 42(23):9575-9581.
14. Ganguly S., Sikdar S., Basu S. Experimental investigation of the effective electrical conductivity of aluminum oxide nanofluids. Powder Technology 2009, 196(3):326-330.
15. Qi L., Lee B.I., Chen S., Samuels W.D., Exarhos G.J. High-dielectric-constant silver-epoxy composites as embedded dielectrics. Advanced Materials 2005, 17(14):1777-1781.
16. 2 glass matrix. Physical Review B 2010, 82(10).
17. Kofod G., Risse S., Stoyanov H., McCarthy D.N., Sokolov S., Kraehnert R. Broad-spectrum enhancement of polymer composite dielectric constant at ultralow volume fractions of silica-supported copper nanoparticles. ACS Nano 2011, 5(3):1623-1629.
18. Das S.K., Putra N., Thiesen P., Roetzel W. Temperature dependence of thermal conductivity enhancement for nanofluids. Journal of Heat Transfer-Transactions of the Asme 2003, 125(4):567-574.
19. Choi S.U.S. Nanofluids: from vision to reality through research. Journal of Heat Transfer-Transactions of the Asme 2009, 131(3):033106.
20. Das S.K., Choi S.U.S., Patel H.E. Heat transfer in nanofluids - a review. Heat Transfer Engineering 2006, 27(10):3-19.
21. Eastman J.A., Phillpot S.R., Choi S.U.S., Keblinski P. Thermal transport in nanofluids. Annual Review of Materials Research 2004, 34:219-246.
22. Krishnamurthy S., Lhattacharya P., Phelan P.E., Prasher R.S. Enhanced mass transport in nanofluids. Nano Letters 2006, 6(3):419-423.
23. Buongiorno J., Venerus D.C., Prabhat N., McKrell T., Townsend J., Christianson R., Tolmachev Y.V., Keblinski P., Hu L.W., Alvarado J.L., Bang I.C., Bishnoi S.W., Bonetti M., Botz F., Cecere A., Chang Y., Chen G., Chen H.S., Chung S.J., Chyu M.K., Das S.K., Di Paola R., Ding Y.L., Dubois F., Dzido G., Eapen J., Escher W., Funfschilling D., Galand Q., Gao J.W., Gharagozloo P.E., Goodson K.E., Gutierrez J.G., Hong H.P., Horton M., Hwang K.S., Iorio C.S., Jang S.P., Jarzebski A.B., Jiang Y.R., Jin L.W., Kabelac S., Kamath A., Kedzierski M.A., Kieng L.G., Kim C., Kim J.H., Kim S., Lee S.H., Leong K.C., Manna I., Michel B., Ni R., Patel H.E., Philip J., Poulikakos D., Reynaud C., Savino R., Singh P.K., Song P.X., Sundararajan T., Timofeeva E., Tritcak T., Turanov A.N., Van Vaerenbergh S., Wen D.S., Witharana S., Yang C., Yeh W.H., Zhao X.Z., Zhou S.Q. A benchmark study on the thermal conductivity of nanofluids. Journal of Applied Physics 2009, 106(9).
24. Peukert W., Schwarzer H.C., Stenger F. Control of aggregation in production and handling of nanoparticles. Chemical Engineering and Processing 2005, 44(2):245-252.
25. Schwarzer H.C., Peukert W. Experimental investigation into the influence of mixing on nanoparticle precipitation. Chemical Engineering & Technology 2002, 25(6):657-661.
26. Schwarzer H.C., Peukert W. Prediction of aggregation kinetics based on surface properties of nanoparticles. Chemical Engineering Science 2005, 60(1):11-25.
27. Sommer M., Stenger F., Peukert W., Wagner N.J. Agglomeration and breakage of nanoparticles in stirred media mills - a comparison of different methods and models. Chemical Engineering Science 2006, 61(1):135-148.
28. Stenger F., Mende S., Schwedes J., Peukert W. Nanomilling in stirred media mills. Chemical Engineering Science 2005, 60(16):4557-4565.
29. Inkyo M., Tahara T., Iwaki T., Iskandar F., Hogan C.J., Okuyama K. Experimental investigation of nanoparticle dispersion by beads milling with centrifugal bead separation. Journal of Colloid and Interface Science 2006, 304:535-540.
30. 2 nanoparticle composites. Industrial and Engineering Chemistry Research 2008, 47(8):2597-2604.
31. Kim S., Lee K.-S., Zachariah M.R., Lee D. Three-dimensional off-lattice Monte Carlo simulations on a direct relation between experimental process parameters and fractal dimension of colloidal aggregates. Journal of Colloid and Interface Science 2010, 344(2):353-361.
32. Hwang Y., Lee J.K., Jeong Y.M., Cheong S.I., Ahn Y.C., Kim S.H. Production and dispersion stability of nanoparticles in nanofluids. Powder Technology 2008, 186(2):145-153.
33. 2 agglomerates. AICHE Journal 2006, 52(4):1318-1325.
34. Oh C., Sorensen C.M. The effect of overlap between monomers on the determination of fractal cluster morphology. Journal of Colloid and Interface Science 1997, 193(1):17-25.
35. Schmid H.J., Al-Zaitone B., Artelt C., Peukert W. Evolution of the fractal dimension for simultaneous coagulation and sintering. Chemical Engineering Science 2006, 61(1):293-305.
36. Havlin S., Ben-Avraham D. Diffusion in disorder media. Advances in Physics 2002, 51:198-292.
37. Morbidelli M., Lattuada M., Wu H., Hasmy A. Estimation of fractal dimension in colloidal gels. Langmuir 2003, 19(15):6312-6316.
38. Schmid H.J., Tejwani S., Artelt C., Peukert W. Monte Carlo simulation of aggregate morphology for simultaneous coagulation and sintering. Journal of Nanoparticle Research 2004, 6(6):613-626.
39. Prasher R., Phelan P.E., Bhattacharya P. Effect of aggregation kinetics on the thermal conductivity of nanoscale colloidal solutions (nanofluid). Nano Letters 2006, 6(7):1529-1534.
40. Prasher R., Evans W., Meakin P., Fish J., Phelan P., Keblinski P. Effect of aggregation on thermal conduction in colloidal nanofluids. Applied Physics Letters 2006, 89(14):143119.
41. Evans W., Prasher R., Fish J., Meakin P., Phelan P., Keblinski P. Effect of aggregation and interfacial thermal resistance on thermal conductivity of nanocomposites and colloidal nanofluids. International Journal of Heat and Mass Transfer 2008, 51(5-6):1431-1438.
42. Bhattacharya P., Saha S.K., Yadav A., Phelan P.E., Prasher R.S. Brownian dynamics simulation to determine the effective thermal conductivity of nanofluids. Journal of Applied Physics 2004, 95(11):6492-6494.
43. Prasher R., Bhattacharya P., Phelan P.E. Brownian-motion-based convective-conductive model for the effective thermal conductivity of nanofluids. Journal of Heat Transfer-Transactions of the Asme 2006, 128(6):588-595.
44. Prasher R., Bhattacharya P., Phelan P.E. Thermal conductivity of nanoscale colloidal solutions (nanofluids). Physical Review Letters 2005, 94(2).
45. He P., Qiao R. Self-consistent fluctuating hydrodynamics simulations of thermal transport in nanoparticle suspensions. Journal of Applied Physics 2008, 103:094305.
46. Evans W., Fish J., Keblinski P. Role of Brownian motion hydrodynamics on nanofluid thermal conductivity. Applied Physics Letters 2006, 88(9).
47. Nie C., Marlow W.H., Hassan Y.A. Discussion of proposed mechanisms of thermal conductivity enhancement in nanofluids. International Journal of Heat and Mass Transfer 2008, 51(5-6):1342-1348.
48. Keblinski P., Prasher R., Eapen J. Thermal conductance of nanofluids: is the controversy over?. Journal of Nanoparticle Research 2008, 10(7):1089-1097.
49. Karthikeyan N.R., Philip J., Raj B. Effect of clustering on the thermal conductivity of nanofluids. Materials Chemistry and Physics 2008, 109(1):50-55.
50. Fan J., Wang L.Q. Review of Heat Conduction in Nanofluids. Journal of Heat Transfer-Transactions of the Asme 2011, 133(4).
51. Gao J.W., Zheng R.T., Ohtani H., Zhu D.S., Chen G. Experimental investigation of heat conduction mechanisms in nanofluids. Clue on clustering. Nano Letters 2009, 9:4128-4132.
52. Timofeeva E.V., Gavrilov A.N., McCloskey J.M., Tolmachev Y.V., Sprunt S., Lopatina L.M., Selinger J.V. Thermal conductivity and particle agglomeration in alumina nanofluids: experiment and theory. Physical Review E 2007, 76(6).
53. Timofeeva E.V., Routbort J.L., Singh D. Particle shape effects on thermophysical properties of alumina nanofluids. Journal of Applied Physics 2009, 106(1).
54. Gharagozloo P.E., Eaton J.K., Goodson K.E. Diffusion, aggregation, and the thermal conductivity of nanofluids. Applied Physics Letters 2008, 93(10).
55. Aminfar H., Motallebzadeh R., Farzadi A. The study of the effects of thermophoretic and Brownian forces on nanofluid thermal conductivity using Lagrangian and Eulerian approach. Nanoscale and Microscale Thermophysical Engineering 2010, 14(4):187-208.
56. Keblinski P., Phillpot S.R., Choi S.U.S., Eastman J.A. Mechanisms of heat flow in suspensions of nano-sized particles (nanofluids). International Journal of Heat and Mass Transfer 2002, 45(4):855-863.
57. Sharma P., Baek I.H., Cho T., Park S., Lee K.B. Enhancement of thermal conductivity of ethylene glycol based silver nanofluids. Powder Technology 2011, 208(1):7-19.
58. Eapen J., Li J., Yip S. Beyond the Maxwell limit: thermal conduction in nanofluids with percolating fluid structures. Physical Review E 2007, 76(6).
59. Nan C.W., Birringer R., Clarke D.R., Gleiter H. Effective thermal conductivity of particulate composites with interfacial thermal resistance. Journal of Applied Physics 1997, 81(10):6692-6699.
60. Wang B.-X., Zhou L.-P., Peng X.-F. A fractal model for predicting the effective thermal conductivity of liquid with suspension of nanoparticles. International Journal of Heat and Mass Transfer 2003, 46:2665-2672.
61. Kim I.C., Torquato S. Determination of the effective conductivity of heterogeneous media by Brownian-Motion simulation. Journal of Applied Physics 1990, 68(8):3892-3903.
62. Kim I.C., Torquato S. Monte-Carlo calculations of connectedness and mean cluster size for bidispersions of overlapping spheres. Journal of Chemical Physics 1990, 93(8):5998-6002.
63. Kim I.C., Torquato S. 1st-passage-time calculation of the conductivity of continuum models of multiphase composites. Physical Review A 1991, 43(6):3198-3201.
64. Kim I.C., Torquato S. Effective conductivity of suspensions of hard-spheres by Brownian-Motion simulation. Journal of Applied Physics 1991, 69(4):2280-2289.
65. Kim I.C., Torquato S. Diffusion of finite-sized Brownian particles in porous-media. Journal of Chemical Physics 1992, 96(2):1498-1503.
66. Filippov A.V., Zurita M., Rosner D.E. Fractal-like aggregates: relation between morphology and physical properties. Journal of Colloid and Interface Science 2000, 229(1):261-273.
67. Soos M., Ehrl L., Lattuada M. Generation and geometrical analysis of dense clusters with variable fractal dimension. The Journal of Physical Chemistry. B 2009, 113(31):10587-10599.
68. Pierce F., Sorensen C.M., Chakrabarti A. Computer simulation of diffusion-limited cluster-cluster aggregation with an Epstein drag force. Physical Review E 2006, 74(2). p.
69. Eggersdorfer M.L., Kadau D., Herrmann H.J., Pratsinis S.E. Multiparticle sintering dynamics: from fractal-like aggregates to compact structures. Langmuir 2011, 27(10):6358-6367.
70. Lattuada M., Wu H., Morbidelli M. Experimental investigation of colloidal gel structures. Langmuir 2004, 20(11):4355-4362.
71. Hawa T., Zachariah M.R. Coalescence kinetics of unequal sized nanoparticles. Journal of Aerosol Science 2006, 37(1):1-15.
72. Hawa T., Zachariah M.R. Development of a phenomenological scaling law for fractal aggregate sintering from molecular dynamics simulation. Journal of Aerosol Science 2007, 38(8):793-806.
73. Huang H., Oh C., Sorensen C.M. Structure factor scaling in aggregating systems. Physical Review E 1998, 57(1):875-880.
74. Oh C., Sorensen C.M. Structure factor of diffusion-limited aggregation clusters: local structure and non-self-similarity. Physical Review E 1998, 57(1):784-790.
75. Scheckman J.H., McMurry P.H., Pratsinis S.E. Rapid characterization of agglomerate aerosols by in situ mass-mobility measurements. Langmuir 2009, 25(14):8248-8254.
76. Soos M., Harshe Y.M., Lattuada M. Experimental and modeling study of breakage and restructuring of open and dense colloidal aggregates. Langmuir 2011, 27(10):5739-5752.
77. Qiao R., Deng H., Putz K.W., Brinson L.C. Effect of particle agglomeration and interphase on the glass transition temperature of polymer nanocomposites. Journal of Polymer Science Part B: Polymer Physics 2011, 49(10):740-748.
78. Hamming L.M., Qiao R., Messersmith P.B., Brinson L.C. Effects of dispersion and interfacial modification on the macroscale properties of TiO2 polymer-matrix nanocomposites. Composites Science and Technology 2009, 69(11-12):1880-1886.
79. Wu C.W., Cho T.J., Xu J.J., Lee D., Yang B., Zachariah M.R. Effect of nanoparticle clustering on the effective thermal conductivity of concentrated silica colloids. Physical Review E 2010, 81(1):011406.
80. Tsantilis S., Pratsinis S.E. Soft- and hard-agglomerate aerosols made at high temperatures. Langmuir 2004, 20(14):5933-5939.
81. Wu H., Xie J.J., Lattuada M., Morbidelli M. Scattering structure factor of colloidal gels characterized by static light scattering, small-angle light scattering, and small-angle neutron scattering measurements. Langmuir 2005, 21(8):3291-3295.
82. Ibaseta N., Biscans B. Fractal dimension of fumed silica: comparison of light scattering and electron microscope methods. Powder Technology 2010, 203(2):206-210.