Particle concentration in homogeneous shear turbulence simulated via Lagrangian and equilibrium Eulerian approaches

Physics of Fluids

Volumn 18, Issue 6, 2006, Pages

  Shotorban, Babak ^a   Balachandar, S ^b,c  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b University of Illinois at Urbana Champaign   (United States)

^c UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; ANISOTROPY; COMPUTER SIMULATION; DIFFUSION; PROBABILITY DENSITY FUNCTION; SHEAR FLOW; VELOCITY;

PARTICLE CONCENTRATION; RADIAL DISTRIBUTION FUNCTION; SHEAR TURBULENCE;

TURBULENCE;

ACCELERATION; ANISOTROPY; COMPUTER SIMULATION; DIFFUSION; PROBABILITY DENSITY FUNCTION; SHEAR FLOW; TURBULENCE; VELOCITY;

EID: 33745601073     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2204982     Document Type: Article

References (54)

1. O. A. Druzhinin and S. Elghobashi, "On the decay rate of isotropic turbulence laden with microparticles," Phys. FluidsPHFLE61070-663110.1063/1.869932 11, 602 (1999).
2. P. Fevrier, O. Simonin, and K. D. Squires, "Partitioning of particle velocities in gas-solid turbulent flows into a continuous field and a spatially uncorrelated random distribution: Theoretical formalism and numerical study," J. Fluid Mech.JFLSA70022-1120 533, 1 (2005).
3. K. D. Squires and J. K. Eaton, "Preferential concentration of particles by turbulence," Phys. Fluids APFADEB0899-821310.1063/ 1.858045 3, 1169 (1991).
4. L.-P. Wang and M. R. Maxey, "Settling velocity and concentration distribution of heavy particles in isotropic turbulence," J. Fluid Mech.JFLSA70022-112010.1017/S0022112093002708 256, 27 (1993).
5. J. R. Fessler, J. D. Kulick, and J. K. Eaton, "Preferential concentration of heavy particles in a turbulent channel flow," Phys. FluidsPHFLE61070-663110.1063/1.868445 6, 3742 (1994).
6. J. K. Eaton and J. R. Fessler, "Preferential concentration of particles by turbulence," Int. J. Multiphase FlowIJMFBP0301-932210.1016/0301-9322(94)90072-8 20, 169 (1994).
7. S. Sundaram and L. R. Collins, "Collision statistics in an isotropic particle-laden turbulent suspension. Part 1. direct numerical simulations," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112096004454 335, 75 (1997).
8. D. W. I. Rouson and J. K. Eaton, "On the preferential concentration of solid particles in turbulent channel flow," J. Fluid Mech.JFLSA70022-112010.1017/S0022112000002627 428, 149 (2001).
9. G. L. Holtzer and L. R. Collins, "Relationship between the intrinsic radial distribution function for an isotropic field of particles and lower-dimensional measurements," J. Fluid Mech.JFLSA70022-1120 459, 93 (2002).
10. L. R. Collins and A. Keswani, "Reynolds number scaling of particle clustering in turbulent aerosols," New J. Phys.NJOPFM1367-2630 6, 119 (2004).
11. J. Chun, D. L. Koch, S. L. Rani, A. Ahluwalia, and L. R. Collins, "Clustering of aerosol particles in isotropic turbulence," J. Fluid Mech.JFLSA70022-112010.1017/S0022112005004568 536, 219 (2005).
12. K. D. Squires and J. K. Eaton, "Particle response and turbulence modification in isotropic turbulence," Phys. Fluids APFADEB0899-821310.1063/1.857620 2, 1191 (1990).
13. S. Elghobashi and G. C. Truesdell, "On the two-way interaction between homogeneous turbulence and dispersed solid particles. I: Turbulence modification," Phys. Fluids APFADEB0899-821310.1063/ 1.858854 5, 1790 (1993).
14. J. B. McLaughlin, "Numerical computation of particles-turbulence interaction," Int. J. Multiphase FlowIJMFBP0301-932210.1016/ 0301-9322(94)90073-6 20, 211 (1994).
15. V. M. Kenning and C. T. Crowe, "On the effect of particles on carrier phase turbulence in gas-particle flows," Int. J. Multiphase FlowIJMFBP0301-932210.1016/S0301-9322(96)00070-5 23, 403 (1997).
16. M. Boivin, O. Simonin, and K. D. Squires, "Direct numerical simulation of turbulence modulation by particles in isotropic turbulence," J. Fluid Mech.JFLSA70022-112010.1017/S0022112098002821 375, 235 (1998).
17. S. Sundaram and L. R. Collins, "A numerical study of the modulation of isotropic turbulence by suspended particles," J. Fluid Mech.JFLSA70022-112010.1017/S0022112098003073 379, 105 (1999).
18. A. M. Ahmed and S. Elghobashi, "On the mechanism of modifying the structure of turbulent homogeneous shear flows by dispersed particles," Phys. FluidsPHFLE61070-663110.1063/1.1308509 12, 2906 (2000).
19. M. Tanaka, Y. Maeda, and Y. Hagiwara, "Turbulence modification in a homogeneous turbulent shear flow laden with small heavy particles," Int. J. Heat Fluid FlowIJHFD20142-727X10.1016/S0142-727X(02)00157-1 23, 615 (2002).
20. B. Shotorban, F. Mashayek, and R. V. R. Pandya, "Temperature statistics in particle-laden turbulent homogeneous shear flow," Int. J. Multiphase FlowIJMFBP0301-932210.1016/S0301-9322(03)00107-1 29, 1333 (2003).
21. A. Ferrante and S. Elghobashi, "On the physical mechanisims of two-way coupling in particle-laden isotropic turbulence," Phys. FluidsPHFLE61070-663110.1063/1.1532731 15, 315 (2003).
22. M. Chen, K. Kontomaris, and M. JB, "Direct numerical simulation of droplet collisions in a turbulent channel flow. Part II: Collision rates," Int. J. Multiphase FlowIJMFBP0301-932210.1016/ S0301-9322(98)00008-1 24, 1105 (1999).
23. B. K. Brunk, D. L. Koch, and L. W. Lion, "Turbulent coagulation of colloidal particles," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112098001037 364, 81 (1998).
24. W. C. Reade and L. R. Collins, "A numerical study of the particle size distribution of an aerosol undergoing turbulent coagulation," J. Fluid Mech.JFLSA70022-112010.1017/S0022112000008521 415, 45 (2000).
25. A. Ten Cate, J. J. Derksen, L. M. Portela, and H. E. A. Van Den Akker, "Fully resolved simulations of colliding monodisperse spheres in forced isotropic turbulence," J. Fluid Mech.JFLSA70022-1120 519, 233 (2004).
26. F. Mashayek and R. V. R. Pandya, "Analytical description of particle/droplet-laden turbulent flows," Prog. Energy Combust. Sci.PECSDO0360-128510.1016/S0360-1285(03)00029-7 29, 329 (2003).
27. T. B. Anderson and R. Jackson, "A fluid mechanical description of fluidized beds," Ind. Eng. Chem. Fundam.IECFA70196-431310.1021/ i160024a007 6, 527 (1967).
28. R. Jackson, "Locally averaged equations of motion for a mixture of identical spherical particles and a Newtonian fluid," Chem. Eng. Sci.CESCAC0009-2509 52, 2457 (1997).
29. D. D. Joseph, T. S. Lundgren, R. Jackson, and D. A. Saville, "Ensemble avaraged and mixture theory equations for incompressible particle suspension," Int. J. Multiphase FlowIJMFBP0301-932210.1016/ 0301-9322(90)90035-H 16, 35 (1990).
30. D. Z. Zhang and A. Prosperetti, "Momentum and energy equations for disperse two-phase flows and their closure for dilute suspensions," Int. J. Multiphase FlowIJMFBP0301-932210.1016/S0301-9322(96)00080-8 23, 425 (1997).
31. M. R. Maxey, "The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields," J. Fluid Mech.JFLSA70022-112010.1017/S0022112087000193 174, 441 (1987).
32. O. A. Druzhinin, "On the 2-way interaction in 2-dimensional particle-laden flows - The accumulation of particles and flow modification," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112095003004 297, 49 (1995).
33. J. Ferry and S. Balachandar, "A fast Eulerian method for disperse two-phase flow," Int. J. Multiphase FlowIJMFBP0301-932210.1016/ S0301-9322(00)00069-0 27, 1199 (2001).
34. S. L. Rani and S. Balachandar, "Evaluation of the equilibrium Eulerian approach for the evolution of particle concentration in isotropic turbulence," Int. J. Multiphase FlowIJMFBP0301-9322 29, 1793 (2003).
35. J. Ferry and S. Balachandar, "Equilibrium Eulerian approach for predicting the thermal field of a dispersion of small particles," Int. J. Heat Mass TransferIJHMAK0017-9310 48, 681 (2005).
36. E. Mograbi and E. Bar-Ziv, "Local effects of St∼O(1) on small particle motion in a linear flow field," Phys. FluidsPHFLE61070-663110.1063/1.2125829 17, 112101 (2005).
37. F. Yeh and U. Lei, "On the motion of small particles in a homogeneous turbulent shear flow," Phys. Fluids APFADEB0899-821310.1063/1.858198 3, 2758 (1991).
38. F. Mashayek, "Droplet-turbulence interactions in low-Mach-number homogeneous shear two-phase flows," J. Fluid Mech.JFLSA70022-112010.1017/S0022112098001414 367, 163 (1998).
39. A. M. Ahmed and S. Elghobashi, "Direct numerical simulation of particle dispersion in homogeneous turbulent shear flows," Phys. FluidsPHFLE61070-663110.1063/1.1405443 13, 3346 (2001).
40. M. R. Maxey and J. J. Riley, "Equation of motion for a small rigid sphere in a nonuniform flow," Phys. FluidsPFLDAS0031-917110.1063/ 1.864230 26, 883 (1983).
41. V. Armenio and V. Fiorotto, "The importance of the forces acting on particles in turbulent flows," Phys. FluidsPHFLE61070-663110.1063/ 1.1385390 13, 2437 (2001).
42. J. Ferry, S. L. Rani, and S. Balachandar, "A locally implicit improvement of the equilibrium Eulerian method," Int. J. Multiphase FlowIJMFBP0301-932210.1016/S0301-9322(03)00064-8 29, 869 (2003).
43. G. K. Batchelor and I. Proudman, "The large-scale structure of homogeneous turbulence," Philos. Trans. R. Soc. LondonPTRBAE0962-8436 248, 46 (1956).
44. R. S. Rogallo, "Numerical experiments in homogeneous turbulence," Tech. Rep. 81315, NASA TM, 1981.
45. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, NY, 1987).
46. B. Shotorban, "Modeling of subgrid-scale effects on particles in large-eddy simulation of turbulent two-phase flows," Ph.D. thesis, University of Illinois at Chicago, Chicago, IL, 2005.
47. B. Balachandar and M. R. Maxey, "Methods for evaluating fluid velocities in spectral simulations of turbulence," J. Comput. Phys.JCTPAH0021-999110.1016/0021-9991(89)90224-6 83, 96 (1989).
48. M. M. Rogers and P. Moin, "The structure of the vorticity field in homogeneous turbulent flows," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112087000569 176, 33 (1987).
49. R. C. Hogan and J. N. Cuzzi, "Stokes and Reynolds number dependence of preferential particle concentration in simulated three-dimensional turbulence," Phys. FluidsPHFLE61070-663110.1063/1.1399292 13, 2938 (2001).
50. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, UK, 2000).
51. J. Bec, L. Biferale, G. Boffetta, A. Celani, M. Cencini, A. Lanotte, S. Musacchio, and F. Toschi, "Acceleration statistics of heavy particles in turbulence," J. Fluid Mech.JFLSA70022-1120 550, 349 (2006).
52. L. Biferale and I. Procaccia, "Anisotropy in turbulent flows and in turbulent transport," Phys. Rep.PRPLCM0370-157310.1016/ j.physrep.2005.04.001 414, 43 (2005).
53. X. Shen and Z. Warhaft, "The anisotropy of the small scale structure in high Reynolds number (R-lambda similar to 1000) turbulent shear," Phys. FluidsPHFLE61070-663110.1063/1.1313552 12, 2976 (2000).
54. X. Shen and Z. Warhaft, "Longitudinal and transverse structure functions in sheared and unsheared wind-tunnel turbulence," Phys. FluidsPHFLE61070-663110.1063/1.1421059 14, 370 (2002).