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Comparison between super-hydrophobic, liquid infused and rough surfaces: a direct numerical simulation study

Published online by Cambridge University Press:  29 April 2019

Isnardo Arenas ,
Edgardo García ,
Matthew K. Fu Open the ORCID record for Matthew K. Fu [Opens in a new window] ,
Paolo Orlandi Open the ORCID record for Paolo Orlandi [Opens in a new window] ,
Marcus Hultmark  and
Stefano Leonardi Open the ORCID record for Stefano Leonardi [Opens in a new window]
Isnardo Arenas
Affiliation:
Departamento de ciencias básicas, Unidades Tecnológicas de Santander, Bucaramanga, Colombia
Edgardo García
Affiliation:
Department of Mechanical Engineering, The University of Texas at Dallas, USA
Matthew K. Fu
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, USA
Paolo Orlandi
Affiliation:
Dipartimento di Meccanica ed Aeronautica, Universitá di Roma La Sapienza, Italy
Marcus Hultmark
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, USA
Stefano Leonardi*
Affiliation:
Department of Mechanical Engineering, The University of Texas at Dallas, USA
*
†Email address for correspondence: [email protected]
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Abstract

Direct numerical simulations of two superposed fluids in a channel with a textured surface on the lower wall have been carried out. A parametric study varying the viscosity ratio between the two fluids has been performed to mimic both idealised super-hydrophobic and liquid-infused surfaces and assess its effect on the frictional, form and total drag for three different textured geometries: longitudinal square bars, transversal square bars and staggered cubes. The interface between the two fluids is assumed to be slippery in the streamwise and spanwise directions and not deformable in the vertical direction, corresponding to the ideal case of infinite surface tension. To identify the role of the fluid–fluid interface, an extra set of simulations with a single fluid has been carried out. Comparison with the cases with two fluids reveals the role of the interface in suppressing turbulent transport between the lubricating layer and the overlying flow decreasing the overall drag. In addition, the drag and the maximum wall-normal velocity fluctuations were found to be highly correlated for all the surface configurations, whether they reduce or increase the drag. This implies that the structure of the near-wall turbulence is dominated by the total shear and not by the local boundary condition of the super-hydrophobic, liquid infused or rough surfaces.

JFM classification

Flow Control: Drag reduction Turbulent Flows: Turbulence simulation Turbulent Flows: Turbulent boundary layers
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 869 , 25 June 2019 , pp. 500 - 525
Copyright
© 2019 Cambridge University Press 

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