- Access by Xinjiang University
Effect of body shape on riblets performance
Phys. Rev. Fluids 5, 124609 – Published 28 December, 2020
DOI: https://doi.org/10.1103/PhysRevFluids.5.124609
Abstract
The effect of partial slip flow on airfoil performance at high Reynolds numbers is analyzed in this paper. The link between the physical mechanism of drag reduction attained by many devices and the slip length concept has been well assessed in the literature. A slip length model is therefore here adopted in large eddy simulations to quantify the effect of slip flow on airfoil performance. The possibility to adopt a slip flow boundary condition to simulate riblets on airfoil is verified. Their effectiveness in reducing friction drag in turbulent flow has been well assessed since the end of the last century. Both theory and experiments proved that the effect of riblets only depends on the local Reynolds number. However, some experiments showed an increased effectiveness of riblets in the presence of pressure gradient. This secondary effect is still being debated and a physical explanation has not been found. This paper has the aim to provide a contribution to the understanding of this phenomenon. Large eddy simulations of flows around airfoils are proposed with an extensive analysis of riblet performance, obtained by a proper slip flow boundary condition. It is shown that riblets reduce the boundary layer displacement thickness inducing small but significant modifications to the pressure distribution, in particular in the adverse pressure gradient region. The reduced thickening of the equivalent body is the reason for the reduced form drag.
Physics Subject Headings (PhySH)
Article Text
References (36)
- M. J. Walsh and L. M. Weinstein, Drag and heat-transfer characteristics of small longitudinally ribbed surfaces, AIAA J. 17, 770 (1979).
- D. Bechert, M. Bruse, W. Hage, J. van der Hoeven, and G. Hoppe, Experiments on drag-reducing surfaces and their optimization with an adjustable geometry, J. Fluid Mech. 338, 59 (1997).
- P. Luchini, F. Manzo, and A. Pozzi, Resistance of grooved surface to parallel flow and cross-flow, J. Fluid Mech. 228, 87 1991).
- M. J. Walsh, Riblets, in Viscous Drag Reduction in Boundary Layers, edited by D. M. Bushnell and J. N. Hefner, Progress in Astronautics and Aeronautics, Vol. 123 (AIAA, Washington, 1990), pp. 203–261.
- K. Choi, Effects of longitudinal pressure gradients on turbulent drag reduction with riblets, in Turbulence Control by Passive Means, edited by E. Coustols (Kluwer Academic Publishers, Amsterdam, 1990), pp. 109–122.
- J. Debisschop and F. Nieuwstadt, Turbulent boundary layer in an adverse pressure gradient: Effectiveness of riblets, AIAA J. 34, 932 (1996).
- A. Boomsma and F. Sotiropoulos, Riblet drag reduction in mild adverse pressure gradient: A numerical investigation, Int. J. Heat Fluid Flow 56, 251 (2015).
- P. Viswanath, Aircraft viscous drag reduction using riblets, Progr. Aerospace Sciences 38, 571 (2002).
- A. Sareen, R. Deters, S. Henry, and M. Selig, Drag reduction using riblet film applied to airfoils for wind turbines, J. Sol. Energy Eng. 136, 1 (2014).
- L. Chamorro, R. Arndt, and F. Sotiropoulos, Drag reduction of large wind turbine blades through riblets: Evaluation of riblet geometry and application strategies, Renewable Energy 50, 1095 (2013).
- J. Banchetti, P. Luchini, and M. Quadrio, Turbulent drag reduction over curved walls, J. Fluid Mech. 896, A10 (2020).
- B. Aupoix, G. Pailhas, and R. Houdeville, Towards a general strategy to model riblet effects, AIAA J. 50, 708 (2012).
- V. Koepplin, F. Herbst, and J. R. Seume, Correlation-based riblet model for turbomachinery applications, J. Turbomachinery 139, 071006 (2017).
- B. Mele and R. Tognaccini, Numerical simulation of riblets on airfoils and wings, in 50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition (AIAA, Nashville, Tennessee, 2012).
- J. Jiménez, Turbulent flows over rough walls, Annu. Rev. Fluid Mech. 36, 173 (2004).
- B. Mele, R. Tognaccini, and P. Catalano, Performance assessment of a transonic wing-body configuration with riblets installed, J. Aircr. 53, 129 (2016).
- B. Mele, L. Russo, and R. Tognaccini, Drag bookkeeping on an aircraft with riblets and NLF control, Aerospace Science and Technology 98, 105714 (2020).
- P. Catalano, D. de Rosa, B. Mele, R. Tognaccini, and F. Moens, Performance improvements of a regional aircraft by riblets and natural laminar flow, J. Aircr. 57, 29 (2020).
- H. Choi, P. Moin, and J. Kim, Direct numerical simulation of turbulent flow over riblets, J. Fluid Mech. 255, 503 (1993).
- D. Goldstein, R. Handler, and L. Sirovich, Direct numerical simulation of turbulent flow over a modeled riblet covered surface, J. Fluid Mech. 302, 333 (1995).
- R. García-Mayoral and J. Jiménez, Hydrodynamic stability and breakdown of the viscous regime over riblets, J. Fluid Mech. 678, 317 (2011).
- B. Mele and R. Tognaccini, Slip length based boundary condition for modeling drag reduction devices, AIAA J. 56, 3478 (2018).
- A. Rastegari and R. Akhavan, The common mechanism of turbulent skin-friction drag reduction with superhydrophobic longitudinal microgrooves and riblets, J. Fluid Mech. 838, 68 (2018).
- E. Alinovi and A. Bottaro, Apparent slip and drag reduction for the flow over superhydrophobic and lubricant-impregnated surfaces, Phys. Rev. Fluids 3, 124002 (2018).
- J. Chang, T. Jung, H. Choi, and J. Kim, Predictions of the effective slip length and drag reduction with a lubricated micro-groove surface in a turbulent channel flow, J. Fluid Mech. 874, 797 (2019).
- Z. Zhang, N. Zhang, C. Cai, and K. Kang, A general model for the riblet simulation in turbulent flows, Int. J. Comput. Fluid Dyn. 34, 333 (2020).
- P. Luchini, Linearized no-slip boundary conditions at a rough surface, J. Fluid Mech. 737, 349 (2013).
- P. Catalano, M. Wang, G. Iaccarino, and P. Moin, Numerical simulation of the flow around a circular cylinder at high Reynolds numbers, Int. J. Heat Fluid Flow 24, 463 (2003).
- R. J. McGhee, B. S. Walker, and B. F. Millard, Experimental results for the Eppler 387 airfoil at low Reynolds number in the Langley low-turbulence pressure tunnel, NASA Technical Memorandum NASA-TM 4062, 1988.
- W. Hage, V. Stenzel, and T. Vynnyk, Investigation of the Wear Properties of a Riblet Paint Structure on an Airbus a300-600st Beluga (Springer, Berlin, 2013), pp. 185–192.
- H. Bilinsky and M. Quinn, Direct contactless microfabrication of 2d and 3d riblets geometries for drag reduction, in AIAA Scitech forum (AIAA, Orlando, Florida, 2020).
- P. R. Spalart and J. D. McLean, Drag reduction: Enticing turbulence, and then an industry, Philos. Trans. R. Soc. A 369, 1556 (2011).
- D. Gatti and M. Quadrio, Reynolds-number dependence of turbulent skin-friction drag reduction induced by spanwise forcing, J. Fluid Mech. 802, 553 (2016).
- F. M. White, Viscous Fluid Flow, 2nd ed. (McGraw-Hill, New York, 1991).
- H. Schlichting and K. Gersten, Boundary Layer Theory (Springer, Berlin, Germany, 2000).
- A. Stroh, Y. Hasegawa, P. Schlatter, and B. Frohnapfel, Global effect of local skin friction drag reduction in spatially developing turbulent boundary layer, J. Fluid Mech. 805, 303 (2016).