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Velocity fluctuations and boundary layer structure in a rough Rayleigh-Bénard cell filled with water

Olivier Liot*, Quentin Ehlinger†, Éléonore Rusaouën‡, Thibaut Coudarchet, Julien Salort, and Francesca Chillà§

  • Univ Lyon, ENS de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F-69342 Lyon Cedex 7, France

  • *Present address: LAAS-CNRS, 7 Avenue du Colonel Roche, 31400 Toulouse, France, EU.
  • †Present address: Univ Lyon, Université Claude Bernard Lyon 1, CNRS, Institut Lumière Matière, Campus LyonTech-La Doua, Bâtiment Kastler, 10 Rue Ada Byron, 69622 Villeurbanne Cedex, France, EU.
  • ‡Present address: LEGI, Domaine Universitaire, CS 40700, 38058 Grenoble Cedex 9, France, EU.
  • §francesca.chilla@ens-lyon.fr
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Phys. Rev. Fluids 2, 044605 – Published 26 April, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.044605

Abstract

We report particle image velocimetry of the large-scale circulation and the viscous boundary layer in turbulent thermal convection. We use two parallelepipedic Rayleigh-Bénard cells with a top smooth plate. The first one has a rough bottom plate and the second one has a smooth one, so we compare the rough-smooth and the smooth-smooth configurations. The dimensions of the cell allow us to consider a bidimensional mean flow. Many previous heat flux measurements have shown a Nusselt-Rayleigh regime transition corresponding to an increase of the heat flux in the presence of roughness that is higher than the surface increase. Our velocity measurements show that if the mean velocity field is not clearly affected by the roughness, the velocity fluctuations rise dramatically, which is accompanied by a change of the longitudinal velocity structure functions scaling. Moreover, we show that the boundary layer becomes turbulent close to roughness, as it was observed recently in air [O. Liot et al., J. Fluid Mech. 786, 275 (2016)]. Finally, we discuss the link between the change of the boundary layer structure and the changes observed in the velocity fluctuations.

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References (34)

  1. Lord Rayleigh, On convection currents in a horizontal layer of fluid, when the higher temperature is on the under side, Philos. Mag. Ser. 6 32, 529 (1916).
  2. R. H. Kraichnan, Turbulent thermal convection at arbitrary Prandtl number, Phys. Fluids 5, 1374 (1962).
  3. S. Grossmann and D. Lohse, Fluctuations in turbulent Rayleigh-Bénard convection: The role of plumes, Phys. Fluids 16, 4462 (2004).
  4. F. Chillà and J. Schumacher, New perspectives in turbulent Rayleigh-Bénard convection, Eur. Phys. J. E 35, 58 (2012).
  5. B. I. Shraiman and E. D. Siggia, Heat transport in high-Rayleigh-number convection, Phys. Rev. A 42, 3650 (1990).
  6. S. Grossmann and D. Lohse, Scaling in thermal convection: a unifying theory, J. Fluid Mech. 407, 27 (2000).
  7. G. Ahlers, D. Funfschilling, and E. Bodenschatz, Transitions in heat transport by turbulent convection at Rayleigh numbers up to 1015, New J. Phys. 11, 123001 (2009).
  8. R. J. A. M. Stevens, E. P. van der Poel, S. Grossmann, and D. Lohse, The unifying theory of scaling in thermal convection: the updated prefactors, J. Fluid Mech. 730, 295 (2013).
  9. Y. Shen, P. Tong, and K.-Q. Xia, Turbulent Convection Over Rough Surfaces, Phys. Rev. Lett. 76, 908 (1996).
  10. Y.-B. Du and P. Tong, Turbulent thermal convection in a cell with ordered rough boundaries, J. Fluid Mech. 407, 57 (2000).
  11. X.-L. Qiu, K.-Q. Xia, and P. Tong, Experimental study of velocity boundary layer near a rough conducting surface in turbulent natural convection, J.Turbul. 6, N30 (2005).
  12. P. Wei, T.-S. Chan, R. Ni, X.-Z. Zhao, and K.-Q. Xia, Heat transport properties of plates with smooth and rough surfaces in turbulent thermal convection, J. Fluid Mech. 740, 28 (2014).
  13. P.-E. Roche, B. Castaing, B. Chabaud, and B. Hébral, Observation of the 1/2 power law in Rayleigh-Bénard convection, Phys. Rev. E 63, 045303 (2001).
  14. G. Stringano, G. Pascazio, and R. Verzicco, Turbulent thermal convection over grooved plates, J. Fluid Mech. 557, 307 (2006).
  15. S. Ciliberto and C. Laroche, Random Roughness of Boundary Increases the Turbulent Convection Scaling Exponent, Phys. Rev. Lett. 82, 3998 (1999).
  16. J.-C. Tisserand, M. Creyssels, Y. Gasteuil, H. Pabiou, M. Gibert, B. Castaing, and F. Chillà, Comparison between rough and smooth plates within the same Rayleigh-Bénard cell, Phys. Fluids 23, 015105 (2011).
  17. J. Salort, O. Liot, E. Rusaouen, F. Seychelles, J.-C. Tisserand, M. Creyssels, B. Castaing, and F. Chill, Thermal boundary layer near roughnesses in turbulent Rayleigh-Bénard convection: Flow structure and multistability, Phys. Fluids 26, 015112 (2014).
  18. O. Liot, J. Salort, R. Kaiser, R. du Puits, and F. Chillà, Boundary layer structure in a rough Rayleigh-Bénard cell filled with air, J. Fluid Mech. 786, 275 (2016).
  19. O. Shishkina and C. Wagner, Modelling the influence of wall roughness on heat transfer in thermal convection, J. Fluid Mech. 686, 568 (2011).
  20. S. Wagner and O. Shishkina, Heat flux enhancement by regular surface roughness in turbulent thermal convection, J. Fluid Mech. 763, 109 (2015).
  21. G. Ahlers, E. Bodenschatz, D. Funfschilling, S. Grossmann, X. He, D. Lohse, R. J. A. M. Stevens, and R. Verzicco, Logarithmic Temperature Profiles in Turbulent Rayleigh-Bénard Convection, Phys. Rev. Lett. 109, 114501 (2012).
  22. A. Fincham and G. Delerce, Advanced optimization of correlation imaging velocimetry algorithms, Exp. Fluids 29, S013 (2000).
  23. K.-Q. Xia, C. Sun, and S.-Q. Zhou, Particle image velocimetry measurement of the velocity field in turbulent thermal convection, Phys. Rev. E 68, 066303 (2003).
  24. M. Kaczorowski, K.-L. Chong, and K.-Q. Xia, Turbulent flow in the bulk of Rayleigh-Bénard convection: Aspect-ratio dependence of the small-scale properties, J. Fluid Mech. 747, 73 (2014).
  25. A. N. Kolmogorov, The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers, Dokl. Akad. Nauk SSSR 30, 299 (1941).
  26. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics: Mechanics of Turbulence (Dover, New York, 2007).
  27. K. R. Sreenivasan, On the universality of the Kolmogorov constant, Phys. Fluids 7, 2778 (1995).
  28. R. P. J. Kunnen, H. J. H. Clercx, B. J. Geurts, L. J. A. van Bokhoven, R. A. D. Akkermans, and R. Verzicco, Numerical and experimental investigation of structure-function scaling in turbulent Rayleigh-Bénard convection, Phys. Rev. E 77, 016302 (2008).
  29. H. Schlichting and K. Gersten, Boundary-Layer Theory (Springer Science & Business Media, New York, 2000).
  30. H. Tennekes and J. L. Lumley, A First Course in Turbulence (MIT Press, Cambridge, 1987).
  31. O. Shishkina, S. Horn, and S. Wagner, Falkner-Skan boundary layer approximation in Rayleigh-Bénard convection, J. Fluid Mech. 730, 442 (2013).
  32. S. Grossmann and D. Lohse, Logarithmic temperature profiles in the ultimate regime of thermal convection, Phys. Fluids 24, 125103 (2012).
  33. E. P. van der Poel, R. Ostilla-Mónico, R. Verzicco, S. Grossmann, and D. Lohse, Logarithmic Mean Temperature Profiles and Their Connection to Plume Emissions in Turbulent Rayleigh-Bénard Convection, Phys. Rev. Lett. 115, 154501 (2015).
  34. S. Toppaladoddi, S. Succi, and J. S. Wettlaufer, Roughness as a Route to the Ultimate Regime of Thermal Convection, Phys. Rev. Lett. 118, 074503 (2017).

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Phys. Rev. Fluids 2, 044605– Published 26 April, 2017
  • Received 3 November 2016

©2017 American Physical Society

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