Direct numerical simulations of aggregation of monosized spherical particles in homogeneous isotropic turbulence

AIChE Journal

Volumn 58, Issue 8, 2012, Pages 2589-2600

  Derksen, J J ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Aggregation; Lattice Boltzmann method; Solid liquid flow; Square well potential; Turbulence

Indexed keywords

AGGREGATE SIZE DISTRIBUTIONS; AGGREGATION PROCESS; DIRECT SIMULATION; HOMOGENEOUS ISOTROPIC TURBULENCE; IMMERSED BOUNDARY METHODS; KOLMOGOROV SCALE; LATTICE-BOLTZMANN METHOD; MONOSIZED SPHERICAL PARTICLES; NEWTONIANS; NO-SLIP CONDITION; PARTICLE DYNAMICS; PARTICLE-PARTICLE INTERACTIONS; SOLID LIQUID FLOW; SOLID-LIQUID INTERFACES; SOLID-LIQUID SUSPENSION; SQUARE-WELL POTENTIALS;

AGGLOMERATION; DIRECT NUMERICAL SIMULATION; KINETIC THEORY; SPHERES; TURBULENCE;

AGGREGATES;

EID: 84863570567     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.12761     Document Type: Article

References (50)

1. Hounslow MJ, Mumtaz HS, Collier AP, Barrick JP, Bramley ASA. Micro-mechanical model for the rate of aggregation during precipitation from solution. Chem Eng Sci. 2001; 56: 2543-2552.
2. Hollander ED, Derksen JJ, Portela LM, Van den Akker HEA. A numerical scale-up study for orthokinetic agglomeration in stirred vessels. AIChE J. 2001; 47: 2425-2440.
3. Guerrero-Sanchez C, Erdmenger T, Ereda P, Wouters D, Schubert US. Water-soluble ionic liquids as novel stabilizers in suspension polymerization reactions: Engineering polymer beads. Chemistry A. 2006; 12: 9036-9045.
4. Russel WB, Saville DA, Schowalter WR. Colloidal Dispersions. New York: Cambridge University Press; 1989.
5. Fitch B. Sedimentation of flocculent suspensions: state of the art. AIChE J. 1979; 25: 913-930.
6. Ehrl L, Soos M, Lattuada M. Generation and geometrical analysis of dense clusters with variable fractal dimension. J Phys Chem B. 2009; 113: 10587-10599.
7. Eggersdorfer ML, Kadau D, Herrmann HJ, Pratsinis SE. Fragmentation and restructuring of soft-agglomerates under shear. J Colloid Interface Sc. 2010; 342: 261-268.
8. Kwade A, Schwedes J. Breaking characteristics of different materials and their effect on stress intensity and stress number in stirred media mills. Powder Tech. 2002; 122: 109-121.
9. Ramkrishna, D. Population balances - Theory and Applications to Particulate Systems in Engineering. London: Academic Press; 2000.
10. Marchisio DL, Pikturna JT, Fox RO, Vigil D, Barresi AA. Quadrature method of moments for population balances. AIChE J. 2003; 49: 1266-1276.
11. Aamir E, Nagy ZK, Rielly CD, Kleinert T, Judat B. Combined quadrature method of moments and method of characteristics approach for efficient solution of population balance models for dynamic modeling and crystal size distribution control of crystallization processes. Ind Eng Chem Res. 2009; 48: 8575-8584.
12. Vigil RD. On equilibrium slutions of aggregation-fragmentation problems. J Colloid Interface Sc. 2009; 336: 642-647.
13. Soos M, Sefcik J, Morbidelli M. Investigation of aggregation, breakage and restructuring kinetics of colloidal dispersions in turbulent flows by population balance modeling and static light scattering. Chem Eng Sci. 2006; 61: 2349-2363.
14. Marchisio DL, Soos M, Sefcik J, Morbidelli, M. Role of turbulent shear rate distribution in aggregation and breakage processes. AIChE J. 2006; 52: 158-173.
15. Delichatsios MA, Probstein RF. The effect of coalescence on the average drop size in liquid-liquid dispersions. Ind Eng Chem Fund. 1976; 14: 134-138.
16. Kusters KA. The influence of Turbulence on Aggregation of Small Particles in Agitated Vessel. [Ph.D. Thesis]. Eindhoven University of Technology, Netherlands; 1991.
17. Derksen JJ, Eskin D. Potential of microchannel flow for agglomerate breakage. Ind Eng Chem Res. 2010; 49: 10633-10640
18. Bäbler MU, Morbidelli M, Baldyga J. Modelling the breakup of solid aggregates in turbulent flows. J Fluid Mech. 2008; 612: 261-289.
19. Zaccone A, Soos M, Lattuada M, Wu H, Bäbler MU, Morbidelli M. Breakup of dense colloidal aggregates under hydrodynamic stresses. Phys Rev E. 2009; 79: 061401.
20. Soos M, Ehrl L, Bäbler MU, Morbidelli M. Aggregate breakup in a contracting nozzle. Langmuir. 2010; 26: 10-18.
21. Higashitani K, Iimura K, Sanda H. Simulation of deformation and breakup of large aggregates in flows of viscous fluids. Chem Eng Sc. 2001; 56: 2927-2938.
22. Becker V, Schlauch E, Behr M, Briesen H. Restructuring of colloidal aggregates in shear flows and limitations of the free-draining approximation. J Colloid Interface Sc. 2009; 339: 362-372.
23. Harshe YM, Lattuada M, Soos M. Experimental and modeling study of breakage and restructuring of open and dense colloidal aggregates. Langmuir. 2011; 27: 5739-5752.
24. Brady JF, Bossis G. Stokesian dynamics. Annu Rev Fluid Mech. 1988; 20: 111-157.
25. Harada S, Tanaka R, Nogami H, Sawada M. Dependence of fragmentation behavior of colloidal aggregates on their fractal structure. J Colloid Interface Sci. 2006; 301: 123-129.
26. Rosales C, Meneveau C. Linear forcing in numerical simulations of isotropic turbulence: Physical space implementations and convergence properties. Phys Fluids 2005; 17: 095106-1-8.
27. Smith SW, Hall CK, Freeman DB. Molecular dynamics for polymeric fluids using discontinuous potentials. J Comp Phys. 1997; 134: 16-30.
28. Chen S, Doolen GD. Lattice Boltzmann method for fluid flows. Annu Rev Fluid Mech. 1989; 30: 329-364.
29. Succi S. The lattice Boltzmann equation for fluid dynamics and beyond. Oxford: Clarendon Press; 2001.
30. Goldstein D, Handler R, Sirovich L. Modeling a no-slip flow boundary with an external force field. J Comp Phys. 1993; 105: 354-366.
31. Derksen J, Van den Akker HEA. Large-eddy simulations on the flow driven by a Rushton turbine. AIChE J. 1999; 45: 209-221.
32. Ten Cate A, Derksen JJ, Portela LM, Van den Akker HEA. Fully resolved simulations of colliding spheres in forced isotropic turbulence. J Fluid Mech. 2004; 519: 233-271.
33. Lucci F, Ferrante A, Elghobashi S. Modulation of isotropic turbulence by particles of Taylor length-scale size. J Fluid Mech. 2010; 650: 5-55.
34. Yamamoto Y, Potthoff M, Tanaka T, Kajishima T, Tsuji Y. Large-eddy simulation of turbulent gas-particle flow in a vertical channel: effect of considering inter-particle collisions. J Fluid Mech. 2001; 442: 303-334.
35. Derksen JJ, Sundaresan S. Direct numerical simulations of dense suspensions: wave instabilities in liquid-fluidized beds. J Fluid Mech. 2007; 587: 303-336.
36. Somers JA. Direct simulation of fluid flow with cellular automata and the lattice-Boltzmann equation. Appl Sci Res. 1993; 51: 127-133.
37. Eggels JGM, Somers JA. Numerical simulation of free convective flow using the lattice-Boltzmann scheme. Int J Heat Fluid Flow. 1995; 16: 357-364.
38. Ten Cate A, Nieuwstad CH, Derksen JJ, Van den Akker HEA. PIV experiments and lattice-Boltzmann simulations on a single sphere settling under gravity. Phys Fluids. 2002; 14: 4012-4025.
39. Duru P, Nicolas M, Hinch J, Guazelli E. Constitutive laws in liquid-fluidized beds. J Fluid Mech. 2002; 452: 371-404.
40. Duru P, Guazelli E. Experimental investigations on the secondary instability of liquid-fluidized beds and the formation of bubbles. J Fluid Mech. 2002; 470: 359-382.
41. Ladd AJC. Numerical simulations of particle suspensions via a discretized Boltzmann equation. Part I: Theoretical Foundation. J Fluid Mech. 1994; 271: 285-309.
42. Sangani AS, Acrivos A. Slow flow through a periodic array of spheres. Int J Multiphase Flow. 1982; 8: 343-360.
43. Hasimoto H. On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres. J Fluid Mech. 1959; 5: 317-328.
44. Derksen JJ. Flow induced forces in sphere doublets. J Fluid Mech. 2008; 608: 337-356.
45. Derksen JJ. Drag on random assemblies of spheres in shear-thinning and thixotropic liquids. Phys Fluids. 2009; 21: 083302-1-9.
46. Nguyen N-Q, Ladd AJC. Lubrication corrections for lattice-Boltzmann simulations of particle suspensions. Phys Rev E. 2002; 66: 046708.
47. Kim S, Karrila SJ. Microhydrodynamics: Principles and selected applications. Boston: Butterworth-Heinemann; 1991.
48. Van Vliet E., Derksen JJ, Van den Akker HEA. Turbulent mixing in a tubular reactor: assessment of an FDF/LES approach. AIChE J. 2005; 51: 725-739.
49. Witten TA Jr, Sander LM. Diffusion-limited aggregation, a kinetic critical phenomenon. Phys Rev Lett. 1981; 47: 1400-1403.
50. Ehrl L, Soos M, Wu H, Morbidelli M. Effect of flow field heterogeneity in coagulators on aggregate size and structure. AIChE J. 2010; 56: 2573-2587.