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Influence of slip on the flow past superhydrophobic circular cylinders

Published online by Cambridge University Press:  24 May 2011

PRANESH MURALIDHAR ,
NANGELIE FERRER ,
ROBERT DANIELLO  and
JONATHAN P. ROTHSTEIN
PRANESH MURALIDHAR
Affiliation:
Department of Mechanical and Industrial Engineering, University of Massachusetts Amherst, Amherst, MA 01003, USA
NANGELIE FERRER
Affiliation:
Department of Mechanical and Industrial Engineering, University of Massachusetts Amherst, Amherst, MA 01003, USA
ROBERT DANIELLO
Affiliation:
Department of Mechanical and Industrial Engineering, University of Massachusetts Amherst, Amherst, MA 01003, USA
JONATHAN P. ROTHSTEIN*
Affiliation:
Department of Mechanical and Industrial Engineering, University of Massachusetts Amherst, Amherst, MA 01003, USA
*
†Email address for correspondence: [email protected]
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Abstract

Superhydrophobic surfaces have been shown to produce significant drag reduction for both laminar and turbulent flows of water through large- and small-scale channels. In this paper, a series of experiments were performed which investigated the effect of superhydrophobic-induced slip on the flow past a circular cylinder. In these experiments, circular cylinders were coated with a series of superhydrophobic surfaces fabricated from polydimethylsiloxane with well-defined micron-sized patterns of surface roughness. The presence of the superhydrophobic surface was found to have a significant effect on the vortex shedding dynamics in the wake of the circular cylinder. When compared to a smooth, no-slip cylinder, cylinders coated with superhydrophobic surfaces were found to delay the onset of vortex shedding and increase the length of the recirculation region in the wake of the cylinder. For superhydrophobic surfaces with ridges aligned in the flow direction, the separation point was found to move further upstream towards the front stagnation point of the cylinder and the vortex shedding frequency was found to increase. For superhydrophobic surfaces with ridges running normal to the flow direction, the separation point and shedding frequency trends were reversed. Thus, in this paper we demonstrate that vortex shedding dynamics is very sensitive to changes of feature spacing, size and orientation along superhydrophobic surfaces.

JFM classification

Flow Control: Drag reduction Wakes/Jets: Separated flows Vortex Flows: Vortex shedding
Type
Papers
Information
Journal of Fluid Mechanics , Volume 680 , 10 August 2011 , pp. 459 - 476
Copyright
Copyright © Cambridge University Press 2011

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References

REFERENCES

Balasubramanian, A. K., Miller, A. C. & Rediniotis, O. K. 2004 Microstructured hydrophobic skin for hydrodynamic drag reduction. AIAA J. 42, 411–414.Google Scholar
Barthlott, W. & Neinhuis, C. 1997 Purity of the sacred lotus, or escape from contamination in biological surfaces. Planta 202, 1–8.Google Scholar
Bénard, H. 1908 The formation of gyration centres at the back of a moving obstacle. C. R. Acad. Sci. 147, 839–842.Google Scholar
Bhushan, B. & Jung, Y. C. 2006 Micro- and nanoscale characterization of hydrophobic and hydrophilic leaf surfaces. Nanotech. 17, 2758–2772.CrossRefGoogle Scholar
Bico, J., Marzolin, C. & Quere, D. 1999 Pearl drops. Europhys. Lett. 47, 220–226.CrossRefGoogle Scholar
Brede, M., Eckelmann, H. & Rockwell, D. 1996 On secondary vortices in the cylinder wake. Phys. Fluids 8, 2117–2124.CrossRefGoogle Scholar
Cassie, A. B. D. & Baxter, S. 1944 Wettability of porous surfaces. Trans. Faraday Soc. 40, 546–551.CrossRefGoogle Scholar
Choi, C. H. & Kim, C. J. 2006 Large slip of aqueous liquid flow over a nanoengineered superhydrophobic surface. Phys. Rev. Lett. 96, 066001.CrossRefGoogle Scholar
Choi, C.-H., Ulmanella, U., Kim, J., Ho, C.-M. & Kim, C.-J. 2006 Effective slip and friction reduction in nanograted superhydrophobic microchannels. Phys. Fluids 18, 087105.CrossRefGoogle Scholar
Daniello, R., Waterhouse, N. E. & Rothstein, J. P. 2009 Turbulent drag reduction using superhydrophobic surfaces. Phys. Fluids 21, 085103.CrossRefGoogle Scholar
Fukagata, K., Kasagi, N. & Koumoutsakos, P. 2006 A theoretical prediction of friction drag reduction in turbulent flow by superhydrophobic surfaces. Phys. Fluids 18, 051703.CrossRefGoogle Scholar
Gogte, S., Vorobieff, P., Truesdell, R., Mammoli, A., van Swol, F., Shah, P. & Brinker, C. J. 2005 Effective slip on textured superhydrophobic surfaces. Phys. Fluids 17, 051701.CrossRefGoogle Scholar
Henoch, C., Krupenkin, T. N., Kolodner, P., Taylor, J. A., Hodes, M. S., Lyons, A. M., Peguero, C. & Breuer, K. S. 2006 Turbulent drag reduction using superhydrophobic surfaces. In AIAA Flow Control Conference, San Francisco, CA.Google Scholar
Joseph, P., Cottin-Bizonne, C., Benoit, J.-M., Ybert, C., Journet, C., Tabeling, P. & Bocquet, L. 2006 Slippage of water past superhydrophobic carbon nanotube forests in microchannels. Phys. Rev. Lett. 97, 156104.Google Scholar
von Kármán, T. 1911 Uber den mechanismus den widerstands, den ein bewegter korper in einer flussigkeit erfahrt. Gottingen Nachr. Math. Phys. Kl. 12, 509–517.Google Scholar
Lauga, E. & Stone, H. A. 2003 Effective slip in pressure driven stokes flow. J. Fluid Mech. 489, 55–77.CrossRefGoogle Scholar
Leal, L. G. 1989 Vorticity transport and wake structure for bluff bodies at finite Reynolds number. Phys. Fluids 1, 124–131.CrossRefGoogle Scholar
Leal, L. G. 1992 Laminar Flow and Convective Transport Processes: Scaling Principles and Asymptotic Analysis. Butterworth-Heinemann.Google Scholar
Lee, C. & Kim, C.-J. 2009 Maximizing the giant liquid slip on superhydrophobic microstructures by nanostructuring their sidewalls. Langmuir 25, 12812–12818.Google Scholar
Legendre, D., Lauga, E. & Magnaudet, J. 2009 Influence of slip on the dynamics of two-dimensional wakes. J. Fluid Mech. 633, 437–447.CrossRefGoogle Scholar
Lim, H.-C. & Lee, S. J. 2002 Flow control of circular cylinders with longitudinal grooved surfaces. AIAA J. 40, 2027–2036.Google Scholar
MacDonald, M. J. & Muller, S. J. 1997 Shear rheology of polymer solutions near the critical condition for elastic instability. Rheol. Acta 36, 97–109.Google Scholar
Magnaudet, J. & Mougin, G. 2007 Wake instability of a fixed spheroidal bubble. J. Fluid Mech. 572, 311–337.CrossRefGoogle Scholar
Martell, M. B., Perot, J. B. & Rothstein, J. P. 2009 Direct numerical simulations of turbulent flows over superhydrophobic surfaces. J. Fluid Mech. 620, 31–41.CrossRefGoogle Scholar
Martell, M. B., Rothstein, J. P. & Perot, J. B. 2010 An analysis of superhydrophobic turbulent drag reduction mechanisms using direct numerical simulation. Phys. Fluids 22, 065102.CrossRefGoogle Scholar
McHale, G., Shirtcliffe, N. J., Evans, C. R. & Newton, M. I. 2009 Terminal velocity and drag reduction measurements on superhydrophobic spheres. App. Phys. Lett. 94, 064104.CrossRefGoogle Scholar
Min, T. & Kim, J. 2004 Effects of hydrophobic surfaces on skin-friction drag. Phys. Fluids 16, L55–L58.CrossRefGoogle Scholar
Navier, C. L. M. H. 1823 Memoire sur les lois du mouvement des fluides. Mem. Acad. R. Sci. Inst. Fr. 6, 389–440.Google Scholar
Oner, D. & McCarthy, T. J. 2000 Ultrahydrophobic surfaces: effects of topography length scales on wettability. Langmuir 16, 7777–7782.CrossRefGoogle Scholar
Ou, J., Moss, G. R. & Rothstein, J. P. 2007 Enhanced mixing in laminar flows using ultrahydrophobic surfaces. Phys. Rev. E 76, 016304.Google ScholarPubMed
Ou, J., Perot, J. B. & Rothstein, J. P. 2004 Laminar drag reduction in microchannels using ultrahydrophobic surfaces. Phys. Fluids 16, 4635–4660.CrossRefGoogle Scholar
Ou, J. & Rothstein, J. P. 2005 Direct velocity measurements of the flow past drag-reducing ultrahydrophobic surfaces. Phys. Fluids 17, 103606.CrossRefGoogle Scholar
Pope, S. B. 2003 Turbulent Flows. Cambridge University Press.Google Scholar
Rothstein, J. P. 2010 Slip on superhydrophobic surfaces. Annu. Rev. Fluid Mech. 42, 89–109.CrossRefGoogle Scholar
Shi, L. L., Liu, Y. Z. & Wan, J. J. 2010 Influence of wall proximity on characteristics of wake behind a square cylinder: PIV measurements and POD analysis. Exp. Therm. Fluid Sci. 34, 28–36.CrossRefGoogle Scholar
Strouhal, V. 1878 Uber eine besondere art der tonerregung. Annal. Physik Chemie 5, 216–251.CrossRefGoogle Scholar
Truesdell, R., Mammoli, A., Vorobieff, P., van Swol, P. & Brinker, C. J. 2006 Drag reduction on a patterned superhydrophobic surface. Phys. Rev. Lett. 97, 044504.CrossRefGoogle ScholarPubMed
Watanabe, K., Udagawa, Y. & Udagawa, H. 1999 Drag reduction of Newtonian fluid in a circular pipe with highly water-repellent wall. J. Fluid Mech. 381, 225–238.CrossRefGoogle Scholar
Wenzel, R. N. 1936 Resistance of solid surfaces to wetting by water. Ind. Engng Chem. 28, 988–994.CrossRefGoogle Scholar
Williamson, C. H. K. 1996 Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28, 477–539.CrossRefGoogle Scholar
Xia, Y. & Whitesides, G. 1998 Soft lithography. Annu. Rev. Mater. Sci. 28, 153–84.CrossRefGoogle Scholar
Ybert, C., Barentin, C., Cottin-Bizonne, C., Joseph, P. & Bocquet, L. 2007 Achieving large slip with superhydrophobic surfaces: scaling laws for generic geometries. Phys. Fluids 19, 123601.Google Scholar
You, D. & Moin, P. 2007 Effects of hydrophobic surfaces on the drag and lift of a circular cylinder. Phys. Fluids 19, 081701.CrossRefGoogle Scholar
Zdravkovich, M. M. 1981 Review and classification of various aerodynamics and hydrodynamic means for suppressing vortex shedding. J. Wind Engng Ind. Aerodyn. 7, 145–189.CrossRefGoogle Scholar
Zhang, X., Shi, F., Niu, J., Jiang, Y. & Wang, Z. 2008 Superhydrophobic surfaces: from structural control to functional application. J. Mater. Chem. 18, 621–633.CrossRefGoogle Scholar