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Flow reversals in particle-dispersed natural convection in a two-dimensional enclosed square domain

Shintaro Takeuchi, Yuri Miyamori, Jingchen Gu, and Takeo Kajishima

  • Department of Mechanical Engineering, Osaka University, 2-1 Yamada-oka, Suita-city, Osaka 565-0871, Japan

Phys. Rev. Fluids 4, 084304 – Published 21 August, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.084304

Abstract

Flow reversals in natural convection of particle-dispersed two-phase flow in a two-dimensional square box are studied by numerical simulation. The Rayleigh number based on the domain side length is set to 104. The domain accommodates 112 neutrally buoyant circular particles, and the thermal conductivity of the particle is set to 102 times higher than the ambient fluid. The particle-dispersed flow driven by buoyancy develops into circulating flow, which transports particles into a diagonal pair of corner regions of the domain. The particles vertically aligned in the corner regions are a strong source of moment of buoyancy in the counterconvective direction, and flow reversals take place at the intervals of several hundred convective-time scales. The mechanism is different from that of the reversals or oscillation in single-phase or particle-dispersed natural convection reported in the literature. Thermal effect of the vertically aligned particles in a corner is modeled by nondimensionalized heat flux, and a cross-coupled sum of those of the four corners is found to be a precursor indicator of the reversal events. The investigation on the effects of three major parameters (Rayleigh number, conductivity ratio, and average interparticle spacing) suggests that the reversals occur in a small region in the parameter space.

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References (19)

  1. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1981).
  2. E. L. Koschmieder, Bénard Cells and Taylor Vortices (Cambridge University Press, Cambridge, UK, 1993).
  3. K. R. Sreenivasan, A. Bershadskii, and J. J. Niemela, Mean wind and its reversal in thermal convection, Phys. Rev. E 65, 056306 (2002).
  4. K. Sugiyama, R. Ni, R. J. A. M. Stevens, T. S. Chan, S.-Q. Zhou, H.-D. Xi, C. Sun, S. Grossmann, K.-Q. Xia, and D. Lohse, Flow Reversals in Thermally Driven Turbulence, Phys. Rev. Lett. 105, 034503 (2010).
  5. M. Chandra and M. K. Verma, Dynamics and symmetries of flow reversals in turbulent convection, Phys. Rev. E 83, 067303 (2011).
  6. M. Chandra and M. K. Verma, Flow Reversals in Turbulent Convection via Vortex Reconnections, Phys. Rev. Lett. 110, 114503 (2013).
  7. A. Castillo-Castellanos, A. Sergent, and M. Rossi, Reversal cycle in square Rayleigh-Bénard cells in turbulent regime, J. Fluid Mech. 808, 614 (2016).
  8. B. Podvin and A. Sergent, A large-scale investigation of wind reversal in a square Rayleigh Bénard cell, J. Fluid Mech. 766, 172 (2015).
  9. R. Benzi, Flow Reversal in a Simple Dynamical Model of Turbulence, Phys. Rev. Lett. 95, 024502 (2005).
  10. R. Benzi and R. Verzicco, Numerical simulations of flow reversal in Rayleigh-Bénard convection, Europhys. Lett. 81, 64008 (2008).
  11. B. Gallet, J. Herault, C. Laroche, F. Pétrélis, and S. Fauve, Reversals of a large-scale field generated over a turbulent background, Geophys. Astrophys. Fluid Dyn. 106, 468 (2012).
  12. F. F. Araujo, S. Grossmann, and D. Lohse, Wind Reversals in Turbulent Rayleigh-Bénard Convection, Phys. Rev. Lett. 95, 084502 (2005).
  13. C. Resagk, R. du Puits, A. Thess, F. V. Dolzhansky, S. Grossmann, F. Fontenele Araujo, and D. Lohse, Oscillations of the large scale wind in turbulent thermal convection, Phys. Fluids 18, 095105 (2006).
  14. S. Takeuchi, T. Tsutsumi, and T. Kajishima, Effect of temperature gradient within a solid particle on the rotation and oscillation modes in solid-dispersed two-phase flows, Int. J. Heat Fluid Flow 43, 15 (2013).
  15. J. Gu, S. Takeuchi, and T. Kajishima, Influence of rayleigh number and solid volume fraction in particle-dispersed natural convection, Int. J. Heat Mass Transfer 120, 250 (2018).
  16. T. Tsutsumi, S. Takeuchi, and T. Kajishima, Heat transfer and particle behaviours in dispersed two-phase flow with different heat conductivities for liquid and solid, Flow, Turbul. and Combust. 92, 103 (2014).
  17. T. Kajishima and S. Takiguchi, Interaction between particle clusters and particle-induced turbulence, Int. J. Heat Fluid Flow 23, 639 (2002).
  18. S. Takeuchi, T. Tsutsumi, K. Kondo, T. Harada, and T. Kajishima, Heat transfer in natural convection with finite-sized particles considering thermal conductance due to inter-particle contacts, Comput. Thermal Sci. 7, 385 (2015).
  19. Y. Tsuji, T. Kawaguchi, and T. Tanaka, Discrete particle simulation of two-dimensional fluidized bed, Powder Technol. 77, 79 (1993).

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