Top

Flow, Turbulence and Combustion

Published in:

26-04-2018

Predicting Turbulent Spectra in Drag-reduced Flows

Authors: Davide Gatti, Alexander Stroh, Bettina Frohnapfel, Yosuke Hasegawa

Published in: Flow, Turbulence and Combustion | Issue 4/2018

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

In the present work we describe how turbulent skin-friction drag reduction obtained through near-wall turbulence manipulation modifies the spectral content of turbulent fluctuations and Reynolds shear stress with focus on the largest scales. Direct Numerical Simulations (DNS) of turbulent channels up to Re_τ = 1000 are performed in which drag reduction is achieved either via artificially removing wall-normal turbulent fluctuations in the vicinity of the wall or via streamwise-travelling waves of spanwise wall velocity. This near-wall turbulence manipulation is shown to modify turbulent spectra in a broad range of scales throughout the whole channel. Above the buffer layer, the observed changes can be predicted, exploiting the vertical shift of the logarithmic portion of the mean streamwise velocity profile, which is a classic performance measure for wall roughness or drag-reducing riblets. A simple model is developed for predicting the large-scale contribution to turbulent fluctuation and Reynolds shear stress spectra in drag-reduced turbulent channels in which a flow control acts at the wall. Any drag-reducing control that successfully interacts with large scales should deviate from the predictions of the present model, making it a useful benchmark for assessing the capability of a control to affect large scales directly.

previous article DNS of Turbulent Flows in Ducts with Complex Shape

next article Plasma Streamwise Vortex Generators for Flow Separation Control on Trucks

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Quadrio, M.: Drag reduction in turbulent boundary layers by in-plane wall motion. Phil. Trans. R. Soc. A 369(1940), 1428–1442 (2011)CrossRef

Ricco, P., Hahn, S.: Turbulent drag reduction through rotating discs. J. Fluid Mech. 722, 267–290 (2013). https://doi.org/10.1017/jfm.2013.92 CrossRefMATH

Wise, D.J., Ricco, P.: Turbulent drag reduction through oscillating discs. J. Fluid Mech. 746, 536–564 (2014). https://doi.org/10.1017/jfm.2014.122 CrossRef

Choi, H., Moin, P., Kim, J.: Active turbulence control for drag reduction in wall-bounded flows. J. Fluid Mech. 262, 75–110 (1994)CrossRefMATH

Bechert, D., Bruse, M., Hage, W., Van der Hoeven, J., Hoppe, G.: Experiments on drag-reducing surfaces and their optimization with an adjustable geometry. J. Fluid Mech. 338, 59–87 (1997)CrossRef

Rothstein, J.P.: Slip on superhydrophobic surfaces. Annu. Rev. Fluid Mech. 42 (1), 89–109 (2010). https://doi.org/10.1146/annurev-fluid-121108-145558 CrossRef

Jiménez, J., Pinelli, A.: The autonomous cycle of near-wall turbulence. J. Fluid Mech. 389, 335–359 (1999)MathSciNetCrossRefMATH

Marusic, I., Mathis, R., Hutchins, N.: High Reynolds number effects in wall turbulence. Int. J. Heat Fluid Flow 31(3), 418–428 (2010)CrossRef

Abe, H., Kawamura, H., Choi, H.: Very large-scale structures and their effects on the wall shear-stress fluctuations in a turbulent channel flow up to R e _τ = 640. J. Fluids Eng. 126(5), 835–843 (2004). https://doi.org/10.1115/1.1789528 CrossRef

10.

Agostini, L., Leschziner, M.: Predicting the response of small-scale near-wall turbulence to large-scale outer motions. Phys. Fluids 28(1), 015107 (2016). https://doi.org/10.1063/1.4939712

11.

De Giovannetti, M., Hwang, Y., Choi, H.: Skin-friction generation by attached eddies in turbulent channel flow. J. Fluid Mech. 808, 511–538 (2016)MathSciNetCrossRefMATH

12.

Hwang, Y., Bengana, Y.: Self-sustaining process of minimal attached eddies in turbulent channel flow. J. Fluid Mech. 795, 708–738 (2016)MathSciNetCrossRefMATH

13.

Schlatter, P., Örlü, R., Li, Q., Brethouwer, G., Fransson, J.H.M., Johansson, A.V., Alfredsson, P.H., Henningson, D.S.: Turbulent boundary layers up to R e _𝜃=2500 studied through simulation and experiment. Phys. Fluids 21(5), 051702–051702-4 (2009)

14.

Kasagi, N., Suzuki, Y., Fukagata, K.: Microelectromechanical systems–based feedback control of turbulence for skin friction reduction. Annu. Rev. Fluid Mech. 41(1), 231–251 (2009). https://doi.org/10.1146/annurev.fluid.010908.165221 CrossRefMATH

15.

Fukagata, K., Iwamoto, K., Kasagi, N.: Contribution of Reynolds stress distribution to the skin friction in wall-bounded flows. Phys. Fluids 14, L73–L76 (2002)CrossRefMATH

16.

Bewley, T.: A fundamental limit on the balance of power in a transpiration-controlled channel flow. J. Fluid Mech. 632, 443–446 (2009). https://doi.org/10.1017/S0022112008004886 MathSciNetCrossRefMATH

17.

Frohnapfel, B., Hasegawa, Y., Quadrio, M.: Money versus time: evaluation of flow control in terms of energy consumption and convenience. J. Fluid Mech. 700, 406–418 (2012)CrossRefMATH

18.

Fukagata, K., Kazuyasu, S., Kasagi, N.: On the lower bound of net driving power in controlled duct flows. Phys. D 238(13), 1082–1086 (2009)MathSciNetCrossRefMATH

19.

Gatti, D., Quadrio, M.: Performance losses of drag-reducing spanwise forcing at moderate values of the Reynolds number. Phys. Fluids 25(17), 125,109 (2013)CrossRef

20.

Gatti, D., Quadrio, M.: Reynolds-number dependence of turbulent skin-friction drag reduction induced by spanwise forcing. J. Fluid Mech. 802, 553–58 (2016)MathSciNetCrossRef

21.

Hurst, E., Yang, Q., Chung, Y.: The effect of Reynolds number on turbulent drag reduction by streamwise travelling waves. J. Fluid Mech. 759, 28–55 (2014)CrossRef

22.

Iwamoto, K., Fukagata, K., Kasagi, N., Suzuki, Y.: Friction drag reduction achievable by near-wall turbulence manipulation at high Reynolds number. Phys. Fluids 17, 011,702 (2005). https://doi.org/10.1063/1.1827276 CrossRefMATH

23.

Agostini, L., Touber, E., Leschziner, M.A.: Spanwise oscillatory wall motion in channel flow: drag-reduction mechanisms inferred from dns-predicted phase-wise property variations at R e _τ = 1000. J. Fluid Mech. 743, 606–635 (2014)CrossRef

24.

Quadrio, M., Ricco, P., Viotti, C.: Streamwise-travelling waves of spanwise wall velocity for turbulent drag reduction. J. Fluid Mech. 627, 161–178 (2009)MathSciNetCrossRefMATH

25.

del Álamo, J., Jiménez, J.: Spectra of the very large anisotropic scales in turbulent channels. Phys. Fluids 15(6), L41–L44 (2003)CrossRefMATH

26.

Hutchins, N., Marusic, I.: Large-scale influences in near-wall turbulence. Phil. Trans. R. Soc. A 365(1852), 647–664 (2007)CrossRefMATH

27.

Kim, K., Adrian, R.J.: Very large-scale motion in the outer layer. Phys. Fluids 11(2), 417–422 (1999)MathSciNetCrossRefMATH

28.

Fukagata I., Kobayashi, M., Kasagi, N.: On the friction drag reduction effect by a control of large-scale turbulent structures. J. Fluid Sci. Tech. 5(3), 574–584 (2010)CrossRef

29.

Hasegawa, Y., Quadrio, M., Frohnapfel, B.: Numerical simulation of turbulent duct flows with constant power input. J. Fluid Mech. 750, 191–209 (2014)CrossRef

30.

Auteri, F., Baron, A., Belan, M., Campanardi, G., Quadrio, M.: Experimental assessment of drag reduction by traveling waves in a turbulent pipe flow. Phys. Fluids 22(11), 115,103/14 (2010)CrossRef

31.

Bird, J., Santer, M., Morrison, J.F.: Experimental control of turbulent boundary layers with in-plane travelling waves. Flow Turb Comb submitted (2018)

32.

Quadrio, M., Ricco, P.: The laminar generalized Stokes layer and turbulent drag reduction. J. Fluid Mech. 667, 135–157 (2011)MathSciNetCrossRefMATH

33.

Jung, W., Mangiavacchi, N., Akhavan, R.: Suppression of turbulence in wall-bounded flows by high-frequency spanwise oscillations. Phys. Fluids A 4(8), 1605–1607 (1992)CrossRef

34.

Schlichting, H.: Boundary-layer theory. McGraw Hill.Inc., New York (1979)MATH

35.

Luchini, P., Quadrio, M.: A low-cost parallel implementation of direct numerical simulation of wall turbulence. J. Comput. Phys. 211(2), 551–571 (2006)CrossRefMATH

36.

Russo, S., Luchini, P.: A fast algorithm for the estimation of statistical error in DNS (or experimental) time averages. J. Comput. Phys. 347, 328–340 (2017). https://doi.org/10.1016/j.jcp.2017.07.005 MathSciNetCrossRefMATH

37.

Thompson, R.L., Sampaio, L.E.B., Alves, F.A.V., Thais, L., Mompean, G.: A methodology to evaluate statistical errors in dns data of plane channel flows. Comp. Fluids 130, 1–7 (2016). https://doi.org/10.1016/j.compfluid.2016.01.014. http://www.sciencedirect.com/science/article/pii/S0045793016300068 MathSciNetCrossRef

38.

Marusic, I., Joseph, D.D., Mahesh, K.: Laminar and turbulent comparisons for channel flow and flow control. J. Fluid Mech. 570, 467–477 (2007)MathSciNetCrossRefMATH

39.

Jiménez, J., Moser, R.D.: What are we learning from simulating wall turbulence?. Phyl Trans R Soc A 365, 715–732 (2007)MathSciNetCrossRefMATH

40.

Mizuno, J., Jiménez, J.: Mean velocity and length-scales in the overlap region of wall-bounded turbulent flows. Phys. Fluids 23(8), 085,112 (2011)CrossRef

41.

Clauser, F.: The turbulent boundary layer. Adv. Appl. Mech. 4, 1–51 (1956)CrossRef

42.

Jiménez, J.: Turbulent flows over rough walls. Annu. Rev. Fluid Mech. 36, 173–196 (2004)MathSciNetCrossRefMATH

43.

García-Mayoral, R., Jiménez, J.: Drag reduction by riblets. Phil. Trans. R. Soc. A 369(1940), 1412–1427 (2011)CrossRef

44.

Luchini, P.: Reducing the turbulent skin friction. In: Desideri et al. (eds.) Computational methods in applied sciences, p 1996. Wiley, Hoboken (1996)

45.

Luchini, P., Manzo, F., Pozzi, A.: Resistance of a grooved surface to parallel flow and cross-flow. J. Fluid Mech. 228, 87–109 (1991)MATH

46.

Pope, S.: Turbulent flows. Cambridge University Press, Cambridge (2000)CrossRefMATH

47.

Spalart, P., McLean, J.: Drag reduction: enticing turbulence, and then an industry. Phil. Trans. R. Soc. A 369(1940), 1556–1569 (2011)CrossRef

48.

Philip, J.R.: Flows satisfying mixed no-slip and no-shear conditions. Zeitschrift fü,r angewandte Mathematik und Physik ZAMP 23(3), 353–372 (1972). https://doi.org/10.1007/BF01595477 MathSciNetCrossRefMATH

49.

Townsend, A.: The structure of turbulent shear flows, 2nd edn. Cambridge University Press, Cambridge (1976)MATH

50.

Nickels, T., Marusic, I., Hafez, S., Hutchins, N., Chong, M.: Some predictions of the attached eddy model for a high reynolds number boundary layer. Phil. Trans. R. Soc. A 365(1852), 807–822 (2007). https://doi.org/10.1098/rsta.2006.1950 CrossRefMATH

51.

Cimarelli, A., De Angelis, E., Jiménez, J., Casciola, C.M.: Cascades and wall-normal fluxes in turbulent channel flows. J. Fluid Mech. 796, 417–436 (2016)CrossRef

52.

Agostini, L., Leschziner, M.: The influence of outer large-scale structures on the near-wall layer of a channel flow subjected to oscillatory spanwise wall actuation. Flow Turb Comb submitted (2018)

53.

Schlichting, H.: Experimentelle Untersuchungen zum Rauhigkeitsproblem. Ing. Arch. 7, 1–34 (1936). (Engl. Trans. 1937. Experimental investigation of the problem of surface roughness, NACA TM 823)CrossRef

54.

Skote, M.M.M., Wu, Y.: Drag reduction of a turbulent boundary layer over an oscillating wall and its variation with reynolds number. Intl. J. Aerospace Eng. 2015, 1–9 (2015)CrossRef

55.

Stroh, A., Frohnapfel, B., Schlatter, P., Hasegawa, Y.: A comparison of opposition control in turbulent boundary layer and turbulent channel flow. Phys. Fluids 27(7), 075,101 (2015). https://doi.org/10.1063/1.4923234 CrossRef

Title: Predicting Turbulent Spectra in Drag-reduced Flows
Authors: Davide Gatti
Alexander Stroh
Bettina Frohnapfel
Yosuke Hasegawa
Publication date: 26-04-2018
Publisher: Springer Netherlands
Published in: Flow, Turbulence and Combustion / Issue 4/2018
Print ISSN: 1386-6184
Electronic ISSN: 1573-1987
DOI: https://doi.org/10.1007/s10494-018-9920-8

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Other articles of this Issue 4/2018

Non-Adiabatic Surface Effects on Step-Induced Boundary-Layer Transition

The Impact of Footprints of Large-Scale Outer Structures on the Near-Wall Layer in the Presence of Drag-Reducing Spanwise Wall Motion

Turbulent Drag Reduction Using Anisotropic Permeable Substrates

Dependence of the Drag Over Super Hydrophobic and Liquid Infused Surfaces on the Textured Surface and Weber Number

Glimpses of Flow Development and Degradation During Type B Drag Reduction by Aqueous Solutions of Polyacrylamide B1120

DNS of Turbulent Flows in Ducts with Complex Shape

Premium Partners