Various control strategies, such as active feedback control or riblets, end up restraining near-wall turbulence. An analytical study is conducted to estimate the drag-reduction achievable by such control in zero-pressure-gradient turbulent boundary-layers. Based on an idealized control which damps all fluctuations within a near-wall layer, a composite flow profile is established. It leads to explicit models for both the drag-reduction and the boundary-layer development rate. A skin-friction decomposition is applied and gives physical insights on the underlying phenomena. The control is found to alter the spatial development of the boundary-layer, resulting in detrimental impact on the skin-friction. However, the drag-reducing mechanism, attributed to the turbulence weakening, is found predominant and massive drag reductions remain achievable at high Reynolds number, although a minute part of the boundary-layer is manipulated. The model is finally assessed against Large Eddy Simulations of riblet-controlled flow.

1.
M. J.
Walsh
and
L. M.
Weinstein
, “Drag and heat transfer on surfaces with small longitudinal fins,” AIAA Paper No. 78-1161,
1978
.
2.
R.
García-Mayoral
and
J.
Jiménez
, “
Drag reduction by riblets
,”
Philos. Trans. R. Soc., A
369
,
1412
1427
(
2011
).
3.
T.
Min
and
J.
Kim
, “
Effects of hydrophobic surface on skin-friction drag
,”
Phys. Fluids
16
,
L55
(
2004
).
4.
J. P.
Rothstein
, “
Slip on superhydrophobic surfaces
,”
Annu. Rev. Fluid Mech.
42
,
89
109
(
2010
).
5.
H.
Choi
,
P.
Moin
, and
J.
Kim
, “
Active turbulence control for drag-reduction in wall-bounded flows
,”
J. Fluid Mech.
262
,
75
110
(
1994
).
6.
N.
Kasagi
,
Y.
Suzuki
, and
K.
Fukagata
, “
Microelectromechanical systems-based feedback control of turbulence for skin friction reduction
,”
Annu. Rev. Fluid Mech.
41
,
231
251
(
2009
).
7.
Q.-J.
Xia
,
W.-X.
Huang
,
C.-X.
Xu
, and
G.-X.
Cui
, “
Direct numerical simulation of spatially developing turbulent boundary layers with opposition control
,”
Fluid Dyn. Res.
47
,
025503
(
2015
).
8.
A.
Bannier
,
E.
Garnier
, and
P.
Sagaut
, “
Riblet flow model based on an extended FIK identity
,”
Flow, Turbul. Combust.
95
,
351
376
(
2015
).
9.
K.
Fukagata
,
K.
Iwamoto
, and
N.
Kasagi
, “
Contribution of Reynolds stress distribution to the skin friction in wall-bounded flows
,”
Phys. Fluids
14
,
L73
(
2002
).
10.
S.
Deck
,
N.
Renard
,
R.
Laraufie
, and
P.-E.
Weiss
, “
Large-scale contribution to mean wall shear stress in high-Reynolds-number flat-plate boundary layers up to Reδ = 13650
,”
J. Fluid Mech.
743
,
202
248
(
2014
).
11.
K.
Iwamoto
,
K.
Fukagata
,
N.
Kasagi
, and
Y.
Suzuki
, “
Friction drag reduction achievable by near-wall turbulence manipulation at high Reynolds numbers
,”
Phys. Fluids
17
,
011702
(
2005
).
12.
R.
García-Mayoral
and
J.
Jiménez
, “
Hydrodynamic stability and breakdown of the viscous regime over riblets
,”
J. Fluid Mech.
678
,
317
347
(
2011
).
13.
C.
Lee
,
J.
Kim
, and
H.
Choi
, “
Suboptimal control of turbulent channel flow for drag reduction
,”
J. Fluid Mech.
358
,
245
258
(
1998
).
14.
T. R.
Bewley
,
P.
Moin
, and
R.
Temam
, “
DNS-based predictive control of turbulence: An optimal benchmark for feedback algorithms
,”
J. Fluid Mech.
447
,
179
225
(
2001
).
15.
H.-H.
Fernholz
and
P. J.
Finley
, “
The incompressible zero-pressure-gradient turbulent boundary layer: An assessment of the data
,”
Prog. Aeronaut. Sci.
32
,
245
311
(
1996
).
16.
H. M.
Nagib
,
K. A.
Chauhan
, and
P. A.
Monkewitz
, “
Approach to an asymptotic state for zero pressure gradient turbulent boundary layer
,”
Philos. Trans. R. Soc., A
365
,
755
770
(
2007
).
17.
H.
Schlichting
,
Boundary-Layer Theory
,
McGraw-Hill Series in Mechanical Engineering
(
McGraw-Hill
,
New York
,
1979
).
18.
P. R.
Spalart
and
J. D.
McLean
, “
Drag reduction: Enticing turbulence, and then an industry
,”
Philos. Trans. R. Soc., A
369
,
1556
1569
(
2011
).
19.
P. A.
Monkewitz
,
K. A.
Chauhan
, and
H. M.
Nagib
, “
Self-consistent high-Reynolds-number asymptotics for zero-pressure-gradient turbulent boundary layers
,”
Phys. Fluids
19
,
115101
(
2007
).
20.
J.
Cousteix
,
Turbulence et Couche Limite
(
Cépadués
,
1989
).
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