- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Fluids

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Applicability of large eddy simulations to capture turbulence attenuation in particle-laden channel flows

Naveen Rohilla, Pradeep Muramulla, and Partha S. Goswami*

  • Department of Chemical Engineering, IIT Bombay, Mumbai 400076, India

  • *psg@iitb.ac.in
PDF

Phys. Rev. Fluids 7, 024302 – Published 10 February, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.024302

Abstract

We report a critical assessment on the applicability of the large eddy simulation (LES) technique in predicting turbulence modulation due to the presence of particles with high Stokes numbers. The simulations have been performed for two Reynolds numbers of 3300 and 5600 based on average gas velocity and channel width. An increase in particle loading decreases the turbulence intensity, and at a particular volume fraction, the turbulence collapses due to the catastrophic reduction of turbulence production. It is observed that at low volume fractions, LES models predict the turbulence modulation with high accuracy (>80%) but fail to predict the volume fraction [critical particle volume loading (CPVL)] at which turbulence collapse happens. A detailed analysis shows that an inaccurate prediction of the turbulent energy production is the source of error in CPVL prediction. This is contrary to the usual understanding of the limitation of the LES models in predicting accurate energy dissipation.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (61)

  1. Y. Yamamoto, M. Potthoff, T. Tanaka, T. Kajishima, and Y. Tsuji, Large-eddy simulation of turbulent gas particle flow in a vertical channel: Effect of considering inter-particle collisions, J. Fluid Mech. 442, 303 (2001).
  2. J. K. Eaton and J. R. Fessler, Preferential concentration of particles by turbulence, Int. J. Multiphase Flow 20, 169 (1994).
  3. K. D. Squires and J. K. Eaton, Preferential concentration of particles by turbulence, Phys. Fluids 3, 1169 (1991).
  4. M. Boivin, O. Simonin, and K. D. Squires, On the prediction of gas-solid flows with two-way coupling using large eddy simulation, Phys. Fluids 12, 2080 (2000).
  5. G. Mallouppas and B. van Wachem, Large eddy simulations of turbulent particle-laden channel flow, Int. J. Multiphase Flow 54, 65 (2013).
  6. A. Vreman, Turbulence attenuation in particle-laden flow in smooth and rough channels, J. Fluid Mech. 773, 103 (2015).
  7. J. D. Kulick, J. R. Fessler, and J. K. Eaton, Particle response and turbulence modification in fully developed channel flow, J. Fluid Mech. 277, 109 (1994).
  8. T. Kajishima, S. Takiguchi, H. Hamasaki, and Y. Miyake, Turbulence structure of particle laden flow in a vertical plane channel due to vortex shedding, JSME Int. J., Ser. B 44, 526 (2001).
  9. F. Coletti, M. Toloui, K. O. Fong, A. Nemes, and L. Baker, Volumetric distribution and velocity of inertial particles in a turbulent channel flow, in 18th International Symposium on Application of Laser and Imaging Techniques to Fluid Mechanics, Lisbon, Portugal (Instituto Superior Técnico, Lisbon, 2016).
  10. B. Vreman, B. J. Geurts, N. G. Deen, J. A. M. Kuipers, and J. G. M. Kuerten, Two and four way coupled Eulerian Lagrangian large-eddy simulation of turbulent particle-laden channel flow, Flow, Turbul. Combust. 82, 47 (2009).
  11. Y. Li, J. B. McLaughlin, K. Kontomaris, and L. Portela, Numerical simulation of particle-laden turbulent channel flow, Phys. Fluids 13, 2957 (2001).
  12. P. Muramulla, A. Tyagi, P. Goswami, and V. Kumaran, Disruption of turbulence due to particle loading in a dilute gas-particle suspension, J. Fluid Mech. 889, A28 (2020).
  13. M. Breuer and M. Alletto, Efficient simulation of particle-laden turbulent flows with high mass loadings using LES, Int. J. Heat Fluid Flow 35, 2 (2012).
  14. A. Vreman, Turbulence characteristics of particle-laden pipe flow, J. Fluid Mech. 584, 235 (2007).
  15. M. Riella, R. Kahraman, and G. R. Tabor, Reynolds-averaged two-fluid model prediction of moderately dilute fluid-particle flow over a backward-facing step, Int. J. Multiphase Flow 106, 95 (2018).
  16. S. Dasgupta, R. Jackson, and S. Sundaresan, Gas-particle flow in vertical pipes with high mass loading of particles, Powder Technol. 96, 6 (1998).
  17. S. Laıń, M. Sommerfeld, and J. Kussin, Experimental studies and modelling of four-way coupling in particle-laden horizontal channel flow, Int. J. Heat Fluid Flow 23, 647 (2002).
  18. P. S. Goswami and V. Kumaran, Particle dynamics in a turbulent particle-gas suspension at high Stokes number. Part 1. Velocity and acceleration distributions, J. Fluid Mech. 646, 59 (2010).
  19. V. Kumaran, N. Muramulla, A. Tyagi, and P. Goswami, Turbulence collapses at a threshold particle loading in a dilute particle-gas suspension, Europhys. Lett. 128, 64001 (2020).
  20. P. S. Goswami and V. Kumaran, Particle dynamics in the channel flow of a turbulent particle gas suspension at high Stokes number. Part 1. DNS and fluctuating force model, J. Fluid Mech. 687, 1 (2011).
  21. C. D. Dritselis, Direct numerical simulation of particle-laden turbulent channel flows with two- and four-way coupling effects: Budgets of Reynolds stress and streamwise enstrophy, Fluid Dyn. Res. 48, 015507 (2016).
  22. S. Ghosh and P. Goswami, A statistical analysis of velocity and acceleration fluctuations of inertial particles in particle-laden turbulent Couette flow, Phys. Fluids 34, 015103 (2022).
  23. J. Smagorinsky, General circulation experiments with the primitive equations: I. The basic experiment, Mon. Weather Rev. 91, 99 (1963).
  24. J. W. Deardorff, The use of subgrid transport equations in a three-dimensional model of atmospheric turbulence, J. Fluids Eng. 95, 429 (1973).
  25. M. Breuer and F. Hoppe, Influence of a cost-efficient Langevin subgrid-scale model on the dispersed phase of large-eddy simulations of turbulent bubble-laden and particle-laden flows, Int. J. Multiphase Flow 89, 23 (2017).
  26. J. W. Deardorff, A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers, J. Fluid Mech. 41, 453 (1970).
  27. V. M. Canuto and Y. Cheng, Determination of the Smagorinsky-Lilly constant Cs, Phys. Fluids 9, 1368 (1997).
  28. J. Jiménez, On why dynamic subgrid-scale models work, Annual Research Briefs, Center for Turbulence Research, Stanford, CA, 1995.
  29. C. Fureby, A. Gosman, G. Tabor, H. Weller, N. Sandham, and M. Wolfshtein, Large eddy simulation of turbulent channel flows, in Eleventh Symposium on Turbulent Shear Flows, Grenoble, France (Institut National Polytechnique de Grenoble, 1997).
  30. J. G. M. Kuerten and A. W. Vreman, Can turbophoresis be predicted by large-eddy simulation? Phys. Fluids 17, 011701 (2005).
  31. J. G. M. Kuerten, Subgrid modeling in particle-laden channel flow, Phys. Fluids 18, 025108 (2006).
  32. C. Marchioli, M. V. Salvetti, and A. Soldati, Appraisal of energy recovering sub-grid scale models for large-eddy simulation of turbulent dispersed flows, Acta Mech. 201, 277 (2008).
  33. C. Marchioli, M. V. Salvetti, and A. Soldati, Some issues concerning large-eddy simulation of inertial particle dispersion in turbulent bounded flows, Phys. Fluids 20, 040603 (2008).
  34. S. Stolz, N. A. Adams, and L. Kleiser, An approximate deconvolution model for large-eddy simulation with application to incompressible wall-bounded flows, Phys. Fluids 13, 997 (2001).
  35. B. Shotorban and F. Mashayek, Modeling subgrid-scale effects on particles by approximate deconvolution, Phys. Fluids 17, 081701 (2005).
  36. Q. Wang and K. D. Squires, Large eddy simulation of particle laden turbulent channel flow, Phys. Fluids 8, 1207 (1996).
  37. V. Armenio, U. Piomelli, and V. Fiorotto, Effect of the subgrid scales on particle motion, Phys. Fluids 11, 3030 (1999).
  38. M. Cernick, Particle subgrid scale modeling in large-eddy simulation of particle-laden turbulence, Ph.D. thesis, McMaster University, 2013.
  39. C. Marchioli, Large-eddy simulation of turbulent dispersed flows: A review of modelling approaches, Acta Mech. 228, 741 (2017).
  40. Q. Wang and K. Squires, Large eddy simulation of particle deposition in a vertical turbulent channel flow, Int. J. Multiphase Flow 22, 667 (1996).
  41. G. I. Park, M. Bassenne, J. Urzay, and P. Moin, A simple dynamic subgrid-scale model for les of particle-laden turbulence, Phys. Rev. Fluids 2, 044301 (2017).
  42. M. Salmanzadeh, M. Rahnama, and G. Ahmadi, Effect of sub-grid scales on large eddy simulation of particle deposition in a turbulent channel flow, Aerosol Sci. Technol. 44, 796 (2010).
  43. B. Shotorban and F. Mashayek, A stochastic model for particle motion in large-eddy simulation, J. Turbul. 7, N18 (2006).
  44. B. Ray and L. R. Collins, A subgrid model for clustering of high-inertia particles in large-eddy simulations of turbulence, J. Turbul. 15, 366 (2014).
  45. J. G. Kuerten, Point-particle DNS and LES of particle-laden turbulent flow: A state-of-the-art review, Flow, Turbul. Combust. 97, 689 (2016).
  46. F. Battista, J.-P. Mollicone, P. Gualtieri, R. Messina, and C. M. Casciola, Exact regularised point particle (ERPP) method for particle-laden wall-bounded flows in the two-way coupling regime, J. Fluid Mech. 878, 420 (2019).
  47. P. Gualtieri, F. Picano, G. Sardina, and C. M. Casciola, Exact regularized point particle method for multiphase flows in the two-way coupling regime, J. Fluid Mech. 773, 520 (2015).
  48. H. Nasr and G. Ahmadi, The effect of two-way coupling and inter-particle collisions on turbulence modulation in a vertical channel flow, Int. J. Heat Fluid Flow 28, 1507 (2007).
  49. G. Wang, K. O. Fong, F. Coletti, J. Capecelatro, and D. H. Richter, Inertial particle velocity and distribution in vertical turbulent channel flow: A numerical and experimental comparison, Int. J. Multiphase Flow 120, 103105 (2019).
  50. C. Peng, O. M. Ayala, and L.-P. Wang, A direct numerical investigation of two-way interactions in a particle-laden turbulent channel flow, J. Fluid Mech. 875, 1096 (2019).
  51. R. Gore and C. Crowe, Effect of particle size on modulating turbulent intensity, Int. J. Multiphase Flow 15, 279 (1989).
  52. T. Tanaka and J. K. Eaton, Classification of Turbulence Modification by Dispersed Spheres Using a Novel Dimensionless Number, Phys. Rev. Lett. 101, 114502 (2008).
  53. A. Soldati and C. Marchioli, Sediment transport in steady turbulent boundary layers: Potentials, limitations, and perspectives for Lagrangian tracking in DNS and LES, Adv. Water Resour. 48, 18 (2012).
  54. H. Eckelmann, The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow, J. Fluid Mech. 65, 439 (1974).
  55. R. D. Moser, J. Kim, and N. N. Mansour, Direct numerical simulation of turbulent channel flow up to Reτ=590, Phys. Fluids 11, 943 (1999).
  56. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
  57. M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, A dynamic subgrid-scale eddy viscosity model, Phys. Fluids 3, 1760 (1991).
  58. E. Pomraning and C. J. Rutland, Dynamic one-equation nonviscosity large-eddy simulation model, AIAA J. 40, 689 (2002).
  59. L. Schiller, A drag coefficient correlation, Zeit. Ver. Deutsch. Ing. 77, 318 (1933).
  60. P. Gualtieri, F. Picano, G. Sardina, and C. M. Casciola, Clustering and turbulence modulation in particle-laden shear flows, J. Fluid Mech. 715, 134 (2013).
  61. C. D. Dritselis and N. S. Vlachos, Large eddy simulation of gas-particle turbulent channel flow with momentum exchange between the phases, Int. J. Multiphase Flow 37, 706 (2011).

Outline

Information

Phys. Rev. Fluids 7, 024302– Published 10 February, 2022
  • Received 1 May 2021
  • Accepted 20 January 2022
Crossmark - Check for updates button

©2022 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation