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Dependence of the drag over superhydrophobic and liquid infused surfaces on the asperities of the substrate

Edgardo J. García-Cartagena

Isnardo Arenas

Jaehyeong An and Stefano Leonardi*

  • Department of Mechanical Engineering, The University of Texas at Dallas, Richardson, Texas 75080, USA

  • Departamento de Ciencias Básicas, Unidades Tecnológicas de Santander, Bucaramanga 680001, Colombia

  • Department of Mechanical Engineering, The University of Texas at Dallas, Richardson, Texas 75080, USA

  • *stefano.leonardi@utdallas.edu
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Phys. Rev. Fluids 4, 114604 – Published 11 November, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.114604

Abstract

Direct numerical simulations (DNSs) of two superposed fluids in a turbulent channel flow with a textured surface made of pinnacles of random height have been performed at Reτ≈180 and Reτ≈395. The texture reproduces an etched sandblasted aluminum. The viscosity ratio between the two fluids is either m=0.02, mimicking the viscosity ratio of a superhydrophobic surface (water over air), or m=0.40 (water over heptane) resembling a liquid infused surface. A parametric study has been carried out varying the position of the interface between the two fluids to assess the contribution to the drag of the portion of the texture emerging above the interface and to provide guidelines for design. Simulations with a deformable interface, at Weber numbers We+≈10−2 and 10−3 have been performed. Results have been compared to those obtained assuming the ideal case of a flat interface which is slippery in the streamwise and spanwise direction (corresponding to a Weber number We=0). The time-averaged position of the interface has been correlated to the pressure field induced by the random-height pinnacles while the instantaneous deformation is due to the passage of the near-wall coherent structures. We attempted to reconcile the effect of superhydrophobic and liquid infused surfaces on the coherent structures by calculating how the shear rate parameter depends on the amount of drag reduction.

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References (37)

  1. H. Park, H. Park, and J. Kim, A numerical study of the effects of superhydrophobic surface on skin-friction drag in turbulent channel flow, Phys. Fluids 25, 110815 (2013).
  2. J. P. Rothstein, Slip on superhydrophobic surfaces, Annu. Rev. Fluid Mech. 42, 89 (2010).
  3. K. B Golovin, J. W Gose, M. Perlin, S. L Ceccio, and A. Tuteja, Bioinspired surfaces for turbulent drag reduction, Philos. Trans. R. Soc. A 374, 20160189 (2016).
  4. P. Kim, T.-S. Wong, J. Alvarenga, M. J. Kreder, W. E. Adorno-Martinez, and J. Aizenberg, Liquid-infused nanostructured surfaces with extreme anti-ice and anti-frost performance, ACS Nano 6, 6569 (2012).
  5. E. Aljallis, M. A. Sarshar, R. Datla, V. Sikka, A. Jones, and C.-H. Choi, Experimental study of skin friction drag reduction on superhydrophobic flat plates in high Reynolds number boundary layer flow, Phys. Fluids 25, 025103 (2013).
  6. R. A. Bidkar, L. Leblanc, A. J. Kulkarni, V. Bahadur, S. L. Ceccio, and M. Perlin, Skin-friction drag reduction in the turbulent regime using random-textured hydrophobic surfaces, Phys. Fluids 26, 085108 (2014).
  7. H. Ling, S. Srinivasan, K. Golovin, G. H. McKinley, A. Tuteja, and J. Katz, High-resolution velocity measurement in the inner part of turbulent boundary layers over super-hydrophobic surfaces, J. Fluid Mech. 801, 670 (2016).
  8. S. Srinivasan, J. A. Kleingartner, J. B. Gilbert, R. E. Cohen, A. J. B. Milne, and G. H. McKinley, Sustainable Drag Reduction in Turbulent Taylor-Couette Flows by Depositing Sprayable Superhydrophobic Surfaces, Phys. Rev. Lett. 114, 014501 (2015).
  9. J. Seo and A. Mani, Effect of texture randomization on the slip and interfacial robustness in turbulent flows over superhydrophobic surfaces, Phys. Rev. Fluids 3, 044601 (2018).
  10. A. Rastegari and R. Akhavan, On the mechanism of turbulent drag reduction with super-hydrophobic surfaces, J. Fluid Mech. 773, R4 (2015).
  11. J. Seo, R. García-Mayoral, and A. Mani, Pressure fluctuations and interfacial robustness in turbulent flows over superhydrophobic surfaces, J. Fluid Mech. 783, 448 (2015).
  12. J. Seo, R. García-Mayoral, and A. Mani, Turbulent flows over superhydrophobic surfaces: Flow-induced capillary waves, and robustness of air-water interfaces, J. Fluid Mech. 835, 45 (2018).
  13. E. J. García-Cartagena, I. Arenas, M. Bernardini, and S. Leonardi, Dependence of the drag over super hydrophobic and liquid infused surfaces on the textured surface and Weber number, Flow Turbul. Combust. 100, 945 (2018).
  14. J. H. Kim and J. P. Rothstein, Delayed lubricant depletion on liquid-infused randomly rough surfaces, Exp. Fluids 57, 81 (2016).
  15. K. Alamé and K. Mahesh, Wall-bounded flow over a realistically rough superhydrophobic surface, J. Fluid Mech. 873, 977 (2019).
  16. M. Sussman, P. Smereka, and S. Osher, A level set approach for computing solutions to incompressible two-phase flow, J. Comput. Phys. 114, 146 (1994).
  17. P. Orlandi, Fluid Flow Phenomena: A Numerical Toolkit, Vol. 55 (Springer, Berlin, 2000).
  18. J. A. Sethian and P. Smereka, Level set methods for fluid interfaces, Annu. Rev. Fluid Mech. 35, 341 (2003).
  19. G. Russo and P. Smereka, A remark on computing distance functions, J. Comput. Phys. 163, 51 (2000).
  20. Y. Renardy and M. Renardy, PROST: A parabolic reconstruction of surface tension for the volume-of-fluid method, J. Comput. Phys. 183, 400 (2002).
  21. I. Arenas, E. García, M. K. Fu, P. Orlandi, M. Hultmark, and S. Leonardi, Comparison between super-hydrophobic, liquid infused and rough surfaces: A direct numerical simulation study, J. Fluid Mech. 869, 500 (2019).
  22. V. Pillutla, H. Ling, L. Rodriguez, D. B. C. Rodriguez, J. Katz, and W. Choi, Robust drag reduction superhydrophobic surfaces with large slip lengths, Proceedings of the 31st Symposium on Naval Hydrodynamics, Monterey CA (2016).
  23. P. Orlandi and S. Leonardi, DNS of turbulent channel flows with two- and three-dimensional roughness, J. Turbul. 7, N73 (2006).
  24. M. Thakkar, A. Busse, and N. D. Sandham, Direct numerical simulation of turbulent channel flow over a surrogate for Nikuradse-type roughness, J. Fluid Mech. 837, R11 (2018).
  25. 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).
  26. H. Ling, S. Srinivasan, K. Golovin, V. Pillutla, G. H Mckinley, A. Tuteja, W. Choi, and J. Katz, Flow structure and turbulence in the inner part of turbulent boundary layers over super-hydrophobic surfaces, Proceedings of the 31st Symposium on Naval Hydrodynamics, Monterey CA (2016).
  27. A. E. Perry and P. N. Joubert, Rough wall boundary layers in adverse pressure gradients.J. Fluid Mech. 17, 193 (1963).
  28. S. Leonardi, P. Orlandi, R. J. Smalley, L. Djenidi, and R. A. Antonia, Direct numerical simulations of turbulent channel flow with transverse square bars on one wall, J. Fluid Mech. 491, 229 (2003).
  29. P. S. Jackson, On the displacement height in the logarithmic velocity profile, J. Fluid Mech. 111, 15 (1981).
  30. E. Lauga and H. A. Stone, Effective slip in pressure-driven Stokes flow, J. Fluid Mech. 489, 55 (2003).
  31. P. Luchini, F. Manzo, and A. Pozzi, Resistance of a grooved surface to parallel flow and cross-flow, J. Fluid Mech. 228, 87 (1991).
  32. M. K. Fu, I. Arenas, S. Leonardi, and M. Hultmark, Liquid-infused surfaces as a passive method of turbulent drag reduction, J. Fluid Mech. 824, 688 (2017).
  33. A. Rastegari and R. Akhavan, On drag reduction scaling and sustainability bounds of superhydrophobic surfaces in high Reynolds number turbulent flows, J. Fluid Mech. 864, 327 (2019).
  34. J. C. R. Hunt and J. M. R. Graham, Free-stream turbulence near plane boundaries, J. Fluid Mech. 84, 209 (1978).
  35. M. J. Lee and J. C. R. Hunt, The structure of sheared turbulence near a plane boundary, in Turbulent Shear Flows 7, edited by F. Durst, B. E. Launder, W. C. Reynolds, F. W. Schmidt, and J. H. Whitelaw (Springer, Berlin, 1991), pp. 101–118.
  36. S. Leonardi, P. Orlandi, L. Djenidi, and R. A. Antonia, Structure of turbulent channel flow with square bars on one wall, Int. J. Heat Fluid Flow 25, 384 (2004).
  37. M. J. Lee, J. Kim, and P. Moin, Structure of turbulence at high shear rate, J. Fluid Mech. 216, 561 (1990).

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Phys. Rev. Fluids 4, 114604– Published 11 November, 2019
  • Received 24 October 2018
Article part of CHORUS
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