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Concave-wall turbulent boundary layers without and with free-stream turbulence

Published online by Cambridge University Press:  08 March 2021

Jiho You ,
David A. Buchta Open the ORCID record for David A. Buchta [Opens in a new window]  and
Tamer A. Zaki Open the ORCID record for Tamer A. Zaki [Opens in a new window]
Jiho You
Affiliation:
Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD21218, USA
David A. Buchta
Affiliation:
Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD21218, USA
Tamer A. Zaki*
Affiliation:
Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD21218, USA
*
†Email address for correspondence: [email protected]
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Abstract

Direct numerical simulations are performed to contrast turbulent boundary layers over a concave wall without and with free-stream turbulence. An adverse pressure gradient near the onset of curvature leads to a sharp decrease in skin friction and intermittent separation. The presence of free-stream turbulence reduces the probability of reverse flow, accelerates the recovery of the boundary layer in the downstream zero-pressure-gradient region, and leads to a sustained and appreciable increase in the skin friction. The forcing also promotes the amplification of coherent Görtler structures in the logarithmic layer of the curved-wall boundary layer. Statistically, the spanwise and wall-normal Reynolds stresses intensify and the radial distance between their peaks increases downstream as the Görtler structures expand. The Reynolds shear stress coefficient also increases in the logarithmic layer, in contrast to a decrease when a flat-plate boundary layer is exposed to free-stream turbulence. In addition, the more coherent and energetic roll motions in the forced flow promote mixing of free-stream and boundary-layer fluids, where the former is seen more often deep within the buffer layer.

JFM classification

Turbulent Flows: Turbulence simulation Turbulent Flows: Intermittency
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 915 , 25 May 2021 , A4
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

Ames, F.E. & Moffat, R.J. 1990 Heat transfer with high intensity, large scale turbulence: the flat plate turbulent boundary layer and the cylindrical stagnation point. Stanford University Report No. HMT-44.Google Scholar
Arolla, S.K. & Durbin, P.A. 2015 LES of spatially developing turbulent boundary layer over a concave surface. J. Turbul. 16 (1), 81–99.CrossRefGoogle Scholar
Bandyopadhyay, P.R. & Ahmed, A. 1993 Turbulent boundary layers subjected to multiple curvatures and pressure gradients. J. Fluid Mech. 246, 503–527.CrossRefGoogle Scholar
Barlow, R.S. & Johnston, J.P. 1988 a Structure of a turbulent boundary layer on a concave surface. J. Fluid Mech. 191, 137–176.CrossRefGoogle Scholar
Barlow, R.S. & Johnston, J.P. 1988 b Local effects of large-scale eddies on bursting in a concave boundary layer. J. Fluid Mech. 191, 177–195.CrossRefGoogle Scholar
Bernardini, M. & Pirozzoli, S. 2011 Inner/outer layer interactions in turbulent boundary layers: a refined measure for the large-scale amplitude modulation mechanism. Phys. Fluids 23, 061701.CrossRefGoogle Scholar
Castro, I.P. 1984 Effects of free-stream turbulence on low Reynolds number boundary layers. Trans. ASME: J. Fluids Engng 106, 298–306.Google Scholar
Dogan, E., Hanson, R.E. & Ganapathisubramani, B. 2016 Interactions of large-scale free-stream turbulence with turbulent boundary layers. J. Fluid Mech. 802, 79–107.CrossRefGoogle Scholar
Floryan, J.M. 1991 On the Görtler instability of boundary layers. Prog. Aerosp. Sci. 28 (3), 235–271.CrossRefGoogle Scholar
Gungor, A.G., Maciel, Y., Simens, M.P. & Soria, J. 2016 Scaling and statistics of large-defect adverse pressure gradient turbulent boundary layers. Intl J. Heat Fluid Flow 59, 109–124.CrossRefGoogle Scholar
Hall, P. 1982 Taylor–Gortler vortices in fully developed or boundary-layer flows: linear theory. J. Fluid Mech. 124, 475–494.CrossRefGoogle Scholar
Hancock, P.E. & Bradshaw, P. 1983 The effect of free-stream turbulence on turbulent boundary layers. Trans. ASME: J. Fluids Engng. 105, 284–289.Google Scholar
Hancock, P.E. & Bradshaw, P. 1989 Turbulence structure of a boundary layer beneath a turbulent free stream. J. Fluid Mech. 205, 45–76.CrossRefGoogle Scholar
Harun, Z., Monty, J.P., Mathis, R. & Marusic, I. 2013 Pressure gradient effects on the large-scale structure of turbulent boundary layers. J. Fluid Mech. 715, 477–498.CrossRefGoogle Scholar
Hearst, R.J., Dogan, E. & Ganapathisubramani, B. 2018 Robust features of a turbulent boundary layer subjected to high-intensity free-stream turbulence. J. Fluid Mech. 851, 416–435.CrossRefGoogle Scholar
Hickel, S. & Adams, N.A. 2008 Implicit LES applied to zero-pressure-gradient and adverse-pressure-gradient boundary layer turbulence. Intl J. Heat Fluid Flow 29, 626–639.CrossRefGoogle Scholar
Hoffmann, P.H., Muck, K.C. & Bradshaw, P. 1985 The effect of concave surface curvature on turbulent boundary layers. J. Fluid Mech. 161, 371–403.CrossRefGoogle Scholar
Hunt, J.C.R. & Durbin, P.A. 1999 Perturbed vortical layers and shear sheltering. Fluid Dyn. Res. 24 (6), 375–404.CrossRefGoogle Scholar
Hutchins, N. & Marusic, I. 2007 Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 579, 1–28.CrossRefGoogle Scholar
Hwang, J., Lee, J., Sung, H.J. & Zaki, T.A. 2016 Inner-outer interactions of large-scale structures in turbulent channel flow. J. Fluid Mech. 790, 128–157.CrossRefGoogle Scholar
Jelly, T.O., Jung, S.Y. & Zaki, T.A. 2014 Turbulence and skin friction modification in channel flow with streamwise-aligned superhydrophobic surface texture. Phys. Fluids 26, 095102.CrossRefGoogle Scholar
Jung, S.Y. & Zaki, T.A. 2015 The effect of a low-viscosity near-wall film on bypass transition in boundary layers. J. Fluid Mech. 772, 330–360.CrossRefGoogle Scholar
Kestoras, M.D. & Simon, T.W. 1995 Effects of free-stream turbulence intensity on a boundary layer recovering from concave curvature effects. Trans. ASME: J. Turbomach. 117, 240–247.Google Scholar
Kestoras, M.D. & Simon, T.W. 1998 Conditionally sampled measurements in a heated turbulent boundary layer: curvature and free-stream turbulence effects. Exp. Therm. Fluid Sci. 17, 63–70.CrossRefGoogle Scholar
Kozul, M., Hearst, R.J., Monty, J.P., Ganapathisubramani, B. & Chung, D. 2020 Response of the temporal turbulent boundary layer to decaying free-stream turbulence. J. Fluid Mech. 896, A11.CrossRefGoogle Scholar
Lee, J., Lee, J.H., Choi, J.-I. & Sung, H.J. 2014 Spatial organization of large-and very-large-scale motions in a turbulent channel flow. J. Fluid Mech. 749, 818–840.CrossRefGoogle Scholar
Lee, J., Sung, H.J. & Zaki, T.A. 2017 Signature of large-scale motions on turbulent/non-turbulent interface in boundary layers. J. Fluid Mech. 819, 165–187.CrossRefGoogle Scholar
Lighthill, M.J. 1963 Boundary Layer Theory. Oxford University Press.Google Scholar
Lopes, A.S., Piomelli, U. & Palma, J.M.L.M. 2006 Large-eddy simulation of the flow in an $s$-duct. J. Turbul. 7 (11), 1–24.CrossRefGoogle Scholar
Lund, T.S. & Moin, P. 1996 Large-eddy simulation of a concave wall boundary layer. Intl J. Heat Fluid Flow 17, 290–295.CrossRefGoogle Scholar
Mathis, R., Hutchins, N. & Marusic, I. 2009 Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers. J. Fluid Mech. 628, 311–337.CrossRefGoogle Scholar
Moser, R.D. & Moin, P. 1987 The effects of curvature in wall-bounded turbulent flows. J. Fluid Mech. 175, 479–510.CrossRefGoogle Scholar
Motoori, Y. & Goto, S. 2019 Generation mechanism of a hierarchy of vortices in a turbulent boundary layer. J. Fluid Mech. 865, 1085–1109.CrossRefGoogle Scholar
Patel, V.C. 1969 The Effects of Curvature on the Turbulent Boundary Layer. Aeronautical Research Council, Report & Memoranda No. 3599.Google Scholar
Patel, V.C. & Sotiropoulos, F. 1997 Longitudinal curvature effects in turbulent boundary layers. Prog. Aerosp. Sci. 33, 1–70.CrossRefGoogle Scholar
Rosenfeld, M., Kwak, D. & Vinokur, M. 1991 A fractional step solution method for the unsteady incompressible Navier–Stokes equations in generalized coordinate systems. J. Comput. Phys. 94, 102–137.CrossRefGoogle Scholar
Saric, W.S. 1994 Görtler vortices. Annu. Rev. Fluid Mech. 26 (1), 379–409.CrossRefGoogle Scholar
Schrader, L.U., Brandt, L. & Zaki, T.A. 2011 Receptivity, instability and breakdown of Görtler flow. J. Fluid Mech. 682, 362–396.CrossRefGoogle Scholar
Simonich, J.C. & Bradshaw, P. 1978 Effect of free-stream turbulence on heat transfer through a turbulent boundary layer. Trans. ASME: J. Heat Transfer 100, 671–677.CrossRefGoogle Scholar
Smith, A.M.O. 1955 On the growth of Taylor–Görtler vortices along highly concave walls. Q. Appl. Maths 13 (3), 233–262.CrossRefGoogle Scholar
Tani, I. 1962 Production of longitudinal vortices in the boundary layer along a concave wall. J. Geophys. Res. 67, 3075–3080.CrossRefGoogle Scholar
Thole, K.A. & Bogard, D.G. 1995 Enhanced heat transfer and shear stress due to high free-stream turbulence. Trans. ASME: J. Turbomach. 117, 418–424.Google Scholar
Thole, K.A. & Bogard, D.G. 1996 High freestream turbulence effects on turbulent boundary layers. Trans. ASME: J. Fluids Engng 118, 276–284.Google Scholar
Thompson, J.F., Warsi, Z.U.A. & Mastin, C.W. 1985 Numerical Grid Generation: Foundations and Applications. North Holland.Google Scholar
Wang, M., Wang, Q. & Zaki, T.A. 2019 Discrete adjoint of fractional-step incompressible Navier–Stokes solver in curvilinear coordinates and application to data assimilation. J. Comput. Phys. 396, 427–450.CrossRefGoogle Scholar
You, J. & Zaki, T.A. 2019 Conditional statistics and flow structures in turbulent boundary layers buffeted by free-stream disturbances. J. Fluid Mech. 866, 526–566.CrossRefGoogle Scholar
You, J. & Zaki, T.A. 2020 Turbulent heat-transfer enhancement in boundary layers exposed to free-stream turbulence. Flow Turbul. Combust. 104 (2), 381–402.CrossRefGoogle Scholar
Zaki, T.A. & Durbin, P.A. 2006 Continuous mode transition and the effects of pressure gradient. J. Fluid Mech. 563, 357–388.CrossRefGoogle Scholar
Zaki, T.A. & Saha, S. 2009 On shear sheltering and the structure of vortical modes in single- and two-fluid boundary layers. J. Fluid Mech. 626, 111–147.CrossRefGoogle Scholar
Zaki, T.A., Wissink, J.G., Rodi, W. & Durbin, P.A. 2010 Direct numerical simulations of transition in a compressor cascade: the influence of free-stream turbulence. J. Fluid Mech. 665, 57–98.CrossRefGoogle Scholar