Abstract
Whilst recent developments of nanotechnology are being exploited by chemists and marine biologists to understand how the completely environmentally friendly foul release coatings can control marine biofouling and how they can be developed further, the understanding of the hydrodynamic performances of these new generation coatings is being overlooked. This paper aims to investigate the relative boundary layer, roughness and drag characteristics of some novel nanostructured coatings, which were developed through a multi-European and multi-disciplined collaborative research project AMBIO (2010), within the framework of turbulent flows over rough surfaces. Zero-pressure-gradient, turbulent boundary layer flow measurements were conducted over flat surfaces coated with several newly developed nanostructured antifouling paints, along with some classic reference surfaces and a state-of-the-art commercial coating, in the Emerson Cavitation Tunnel (ECT) of Newcastle University. A large flat plane test bed that included interchangeable flat test sections was used for the experiments. The boundary layer data were collected with the aid of a two-dimensional DANTEC Laser Doppler Velocimetry (LDV) system. These measurements provided the main hydrodynamic properties of the newly developed nanostructured coatings including local skin friction coefficients, roughness functions and Reynolds stresses. The tests and subsequent analysis indicated the exceptionally good frictional properties of all coatings tested, in particular, the drag benefit of some new nanostructured coatings in the Reynolds number range investigated. The rapidly decreasing roughness function trends of AKZO19 and AKZO20 as the \( k_{s}^{ + } \) increases were remarkable along with the dissimilar roughness function character of all tested coatings to the well-known correlation curves warranting further research at higher Reynolds numbers. The wall similarity concept for the Reynolds stresses was only validated for the transitionally rough surfaces from \( (y + \varepsilon)^{ + } \approx 100 \) up to the end of the boundary layer.
Similar content being viewed by others
References
Afzal N (2008) Alternate scales for turbulent boundary layer on transitional rough walls: universal log laws. J Fluids Eng Trans ASME 130:041202
Akinlade OG, Bergstrom DJ, Tachie MF, Castillo L (2004) Outer flow scaling of smooth and rough wall turbulent boundary layers. Exp Fluids 37:604–612
Almeida E, Teresa CD, Sousa O (2007) Marine paints: the particular case of antifouling paints. Prog Org Coat 59:2–20
AMBIO (2010) The Publishable Final Activity Report of the AMBIO (Advanced Nanostructured Surfaces for the Control of Biofouling) Integrated Project. Project no: NMP4-CT-2005-011827
AMBIO official website. http://www.ambio.bham.ac.uk/
Anonymous (2007) Intersleek 900: fluoropolymer foul release coating for all vessel types. International Paint Ltd., Felling
Antonia RA, Krogstad P-A (2001) Turbulence structure in boundary layers over different types of surface roughness. Fluid Dyn Res 28:139–157
Antonia RA, Luxton RE (1971) The response of a turbulent boundary layer to a step change in surface roughness Part 1. Smooth to rough. J Fluid Mech 48(4):721–761
Atlar M (2011) Recent upgrading of marine testing facilities at Newcastle University. In: AMT’11, the second intl conference on advanced model measurement technology for the EU maritime industry, 4–6 Apr 2011. Newcastle University, UK
Bandyopadhyay PR (1987) Rough-wall turbulent boundary layers in the transition regime. J Fluid Mech 180:231–266
Beigbeder A, Linares M, Devalckenaere M, Degee P, Claes M, Beljonne D, Lazzaroni R, Dubois P (2008a) CH–Pi interactions as the driving force for silicone-based nanocomposites with exceptional properties. Adv Mater 20:1003
Beigbeder A, Degee P, Conlan SL, Mutton R, Clare AS, Pettitt ME, Callow ME, Callow JA, Dubois P (2008b) Preparation and characterization of silicone-based coatings filled with carbon nanotubes and natural sepiolite and their application as marine fouling-release coatings. Biofouling 24:291
Beigbeder A, Jeusette M, Mincheva R, Degee P, Claes M, Brocorens P, Lazzaroni R, Dubois P (2009) On the effect of carbon nanotubes on the wettability and surface morphology of hydrosilylation-curing silicone coatings. J Nanostructured Polym Nanocomposites 5:37–43
Beigbeder A, Mincheva R, Pettitt ME, Callow ME, Callow JA, Claes M, Dubois P (2010) Marine fouling release silicone/carbon nanotube nanocomposite coatings: on the importance of the nanotube dispersion state. J Nanosci Nanotechnol 10:2972–2978
Benedict LH, Gould RD (1996) Towards better uncertainty estimates for turbulence statistics. Exp Fluids 22:129–136
Bons JP (2010) A review of surface roughness effects in gas turbines. J Turbomach Trans ASME 132:021004
Brzek B, Cal RB, Johansson G, Castillo L (2007) Inner and outer scalings in rough surface zero pressure gradient turbulent boundary layers. Phys Fluids 19:065101
Brzek B, Cal RB, Johansson G, Castillo L (2008) Transitionally rough zero pressure gradient turbulent boundary layers. Exp Fluids 44:115–124
Brzek B, Chao B, Turan Ö, Castillo L (2010) Characterizing developing adverse pressure gradient flows subject to surface roughness. Exp Fluids 48:663–677
Cal RB, Brzek B, Johansson TG, Castillo L (2009) The rough favourable pressure gradient turbulent boundary layer. J Fluid Mech 641:129–155
Candries M (2001) Drag, boundary-layer and roughness characteristics of marine surfaces coated with antifoulings. PhD Thesis, Department of Marine Technology, University of Newcastle upon Tyne, Newcastle upon Tyne
Candries M, Atlar M (2005) Experimental investigation of the turbulent boundary layer of surfaces coated with marine antifoulings. J Fluids Eng Trans ASME 127:219–232
Candries M, Atlar M, Mesbahi E, Pazouki K (2003) The measurement of the drag characteristics of tin-free self-polishing co-polymers and fouling release coatings using a rotor apparatus. Biofouling 19:27–36
Choi K-S, Yang X, Clayton B, Glover EJ, Atlar M, Semenov BN, Kulik M (1997) Turbulent drag reduction using compliant surfaces. Proc R Soc Lond A 453:2229–2240
Clauser FH (1954) Turbulent boundary layer in adverse pressure gradients. J Aeronaut Sci 21:91–108
Clauser FH (1956) The turbulent boundary layer. Adv Appl Mech 4:1–51
Colebrook CF (1939) Turbulent flows in pipes with particular reference to the transition region between the smooth and rough pipe flows. J Inst Civil Eng 11:133–155
Coleman HW, Steele WG (2009) Experimentation and uncertainty analysis for engineers. Wiley, New York
Connelly JS, Schultz MP, Flack KA (2006) Velocity-defect scaling for turbulent boundary layers with a range of relative roughness. Exp Fluids 40:188–195
Degraaff DB, Eaton JK (2000) Reynolds number scaling of the flat-plate turbulent boundary layer. J Fluid Mech 422:319–346
Dey SK (1989) Parametric representation of hull painted surfaces and the correlation with fluid drag. PhD Thesis, Department of Marine Technology, University of Newcastle upon Tyne, Newcastle upon Tyne
Dixit SA, Ramesh ON (2009) Determination of skin friction in strong pressure-gradient equilibrium and near-equilibrium turbulent boundary layers. Exp Fluids 47:1045–1058
Djenidi L, Elavarasan E, Antonia RA (1999) Turbulent boundary layer over transverse square cavities. J Fluid Mech 395:271–294
Djenidi L, Antonia RA, Amielh M, Anselmet F (2008) A turbulent boundary layer over a two-dimensional rough wall. Exp Fluids 44:37–47
Flack KA, Schultz MP (2010) Review of hydraulic roughness scales in the fully rough regime. J Fluid Eng 132:041203
Flack KA, Schultz MP, Shapiro TA (2005) Experimental support for Townsend’s Reynolds number similarity hypothesis on rough walls. Phys Fluids 17(3):035102
Flack KA, Schultz MP, Connelly JS (2007) Examination of a critical roughness height for outer layer similarity. Phys Fluids 19:095104
Furuya Y, Fujita H (1967) Turbulent boundary layers on a wire-screen roughness. Bull JSME 10:77–86
Gad-el-Hak M (1998) Compliant coatings: the simpler alternative. Exp Thermal Fluid Sci 16:141–156
George WK, Castillo L (1997) Zero pressure gradient turbulent boundary layer. Appl Mech Rev 50:689–729
Grass AJ (1971) Structural features of turbulent flow over smooth and rough boundaries. J Fluid Mech 50:233–255
Hama FR (1954) Boundary-layer characteristics for smooth and rough surfaces. Trans Soc Nav Archit Mar Eng 62:333–358
Jimenez J (2004) Turbulent flow over rough walls. Annu Rev Fluid Mech 36:173–196
Keirsbulck L, Labraga L, Mazouz A, Tournier C (2002) Surface roughness effects on turbulent boundary layer structures. J Fluids Eng Trans ASME 124:127–135
Krogstad PA, Antonia RA (1999) Surface roughness effects in turbulent boundary layers. Exp Fluids 27:450–460
Krogstad PA, Antonia RA, Browne LWB (1992) Comparison between rough- and smooth-wall turbulent boundary layers. J Fluid Mech 245:599–617
Krogstad PA, Andersson HI, Bakken OM, Ashrafian A (2005) An experimental and numerical study of channel flow with rough walls. J Fluid Mech 530:327–352
Langelandsvik LI, Kunkel GJ, Smits AJ (2008) Flow in a commercial steel pipe. J Fluid Mech 595:323–339
Leer-Andersen M, Larsson L (2003) An experimental/numerical approach for evaluating skin friction on full-scale ships with surface roughness. J Mar Sci Technol 8:26–36
Ligrani PM, Moffat RJ (1986) Structure of transitionally rough and fully rough turbulent boundary layers. J Fluid Mech 162:69–98
Marabotti I, Morelli A, Orsini LM, Martinelli E, Galli G, Chiellini E, Lien EM, Pettitt ME, Callow ME, Callow JA, Conlan SL, Mutton RJ, Clare AS, Kocijan A, Donik C, Jenko M (2009) Fluorinated/siloxane copolymer blends for fouling release: chemical characterisation and biological evaluation with algae and barnacles. Biofouling 25:481–493
Martinelli E, Agostini S, Galli G, Chiellini E, Glisenti A, Pettitt ME, Callow ME, Callow JA, Graf K, Bartels FW (2008) Nanostructured films of amphiphilic fluorinated block copolymers for fouling release application. Langmuir 24:13138–13147
Martinelli E, Fantoni C, Galli G, Gallot B, Glisenti A (2009a) Low surface energy properties of smectic fluorinated block copolymers/SEBS blends. Mol Cryst Liq Cryst 500:51–62
Martinelli E, Glisenti A, Gallot B, Galli G (2009b) Surface properties of mesophase-forming fluorinated bicycloacrylate/polysiloxane methacrylate copolymers. Macromol Chem Phys 210:1746–1753
Mason RL, Gunst RF, Hess JL (1989) Statistical design and analysis of experiments with applications to engineering and science. Wiley, New York
McKeon BJ, Li J, Jiang W, Morrison JF, Smits AJ (2004) Further observations on the mean velocity distribution in fully developed pipe flow. J Fluid Mech 501:135–147
Mejia-Alverez R, Christensen KT (2010) Low-order representations of irregular surface roughness and their impact on a turbulent boundary layer. Phys Fluids 22:015106
Musker AJ (1990) Turbulence measurements in a shear layer associated with a ship hull roughness. In: International workshop on marine roughness and drag, Paper 10, London
Nikuradse J (1933) Laws of flow in rough pipes, NACA Technical Memorandum 1292
Pailhas G, Touvet Y, Aupoix B (2008) Effects of Reynolds number and adverse pressure gradient on a turbulent boundary layer developing on a rough surface. J Turbul 9(43):1–24
Perry AE, Li JD (1990) Experimental support for the attached-eddy hypothesis in zero-pressure-gradient turbulent boundary layers. J Fluid Mech 218:405–438
Perry AE, Schofield WH, Joubert PN (1969) Rough-wall turbulent boundary layer. J Fluid Mech 37:383–413
Perry AE, Lim KL, Henbest SM (1987) An experimental study of the turbulence structure in smooth and rough boundary layers. J Fluid Mech 177:437–466
Raupach MR, Antonia RA, Rajagopalan S (1991) Rough-wall turbulent boundary layers. Appl Mech Rev 44(1):1–25
Rosenhahn A, Ederth T, Pettitt ME (2008) Advanced nanostructures for the control of biofouling: the FP EU integrated project AMBIO. Biointerphases 3:IR1–IR5
Schultz MP (1998) The effect of biofilms on turbulent boundary layers. DPhil Thesis, Florida Institute of Technology, Melbourne, Florida
Schultz MP (2000) Turbulent boundary layers on surfaces coated with filamentous algae. J Fluids Eng Trans ASME 122:357–362
Schultz MP (2004) Frictional resistance of antifouling coating systems. J Fluid Eng 126:1039–1047
Schultz MP, Flack KA (2005) Outer layer similarity in fully rough turbulent boundary layers. Exp Fluids 38:328–340
Schultz MP, Flack KA (2007) The rough-wall turbulent boundary layer from the hydraulically smooth to the fully rough regime. J Fluid Mech 580:381–405
Schultz MP, Flack KA (2009) Turbulent boundary layers on a systematically varied rough wall. Phys Fluids 21:015104
Schultz MP, Swain GW (1999) The effect of biofilms on turbulent boundary layers. J Fluids Eng Trans ASME 121:44–51
Tachie MF (2000) Open channel turbulent boundary layers and wall jets on rough surfaces. PhD Thesis, Department of Mechanical Engineering, University of Saskatchewan, Saskatoon
Tani I (1987) Equilibrium, or none-equilibrium, of turbulent boundary layer flows. Proc Jpn Acad Ser B-Phys Biol Sci 63(3):96–100
Tani I (1988) Drag reduction by riblet viewed as roughness problem. Proc Jpn Acad Ser B-Phys Biol Sci 64(2):21–24
Wu Y, Christensen KT (2010) Spatial structure of a turbulent boundary layer with irregular surface roughness. J Fluid Mech 655:380–418
Acknowledgments
The work presented in this paper was sponsored by the recently completed EU-FP6 Integrated Project AMBIO (Advanced Nanostructured Surfaces for the Control of Biofouling, Project No: NMP4-CT-2005-011827). The authors gratefully acknowledge the close collaboration and help provided by AKZO NOBEL (International Paint Ltd), in particular Dr David Williams in materializing the coating needs for the tests. Thanks also go to Georgios Politis who shared some of the burden of the long experimental campaign and roughness analyses in this project as part of his PhD studies. The two leading authors are also grateful to Turkish Lloyd and Istanbul Technical University (ITU) in supporting their study visit to Newcastle University during the project and to Prof. Muhittin Söylemez of ITU for his helpful discussions in the write up of the paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ünal, U.O., Ünal, B. & Atlar, M. Turbulent boundary layer measurements over flat surfaces coated by nanostructured marine antifoulings. Exp Fluids 52, 1431–1448 (2012). https://doi.org/10.1007/s00348-012-1262-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00348-012-1262-z