Science in China Series G: Physics, Mechanics & Astronomy
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Springer-Verlag
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Large eddy simulation of compressible turbulent
channel flow with spanwise wall oscillation
FANG Jian
1†
, LU LiPeng
1
& SHAO Liang
2
1
National Key Laboratory on Aero-engines, School of Jet Propulsion, Beihang University, Beijing 100191, China;
2
Laboratory of Fluid Mechanics and Acoustics, Ecole Centrale de Lyon, France
The influences of the modification of turbulent coherent structures on temperature field and heat
transfer in turbulent channel flow are studied using large eddy simulation (LES) of compressible tur-
bulent channel flows with spanwise wall oscillation (SWO). The reliability of the LES on such problems
is proved by the comparisons of the drag reduction data with those of other researches. The high con-
sistency of coherent velocity structures and temperature structures is found based on the analyses of
the turbulent flow field. When the coherent velocity structures are suppressed, the transportations of
momentum and heat are reduced simultaneously, demonstrating the same trend. This shows that the
turbulent coherent structures have the same effects on the transportations of momentum and heat. The
averaged wall heat flux can be reduced with appropriate oscillating parameters.
large eddy simulation, spanwise wall oscillation, compressible, temperature field, heat transportation
The spanwise wall oscillation (SWO) is an effective
drag reducing technique to suppress turbulence activity.
It was first studied in 1992 by Jung et al.
[1,2]
, who got the
continual reductions of drag (40% the maximum), tur-
bulence intensity and density of coherent structures. Af-
ter the work of Jung
[1,2]
, Laadhari et al.
[3]
carried out the
experimental research on the problem in the water
channel, and validated the conclusions of Jung
[1,2]
. After
that, lots of researchers carried out the numerical (Baron
et al.
[4]
, Orlandi et al.
[5]
, Dhanak et al.
[6]
, Quadrio et al.
[7]
,
Choi et al.
[8]
, Huang et al.
[9,10]
, Quadrio et al.
[11]
, Zhou et
al.
[12]
, Riccoa et al.
[13]
) and experimental (Trujillo et
al.
[14]
, Choi et al.
[15-18]
, Cicca et al.
[19]
, Iuso et al.
[20]
,
Ricco et al.
[21]
) researches on this problem, and they
came to the consistent results with those of Jung et al.
[1,2]
.
Among them, Orlandi et al.
[5]
, Quadrio et al.
[7]
and Choi
et al.
[16]
carried out the numerical and experimental re-
searches on the pipe flow oscillating around its axis. The
maximum drag reduction of 25% and some similar re-
sults as in channel flows were reached.
The SWO has drawn so much attention in recent
decades, due to the dramatic drag reduction as a large
scale control technique (the maximum drag reduction of
45% can be reached according to Choi et al.
[15]
, contras-
tively, the riblets can only reach the level of 10%) and the
connections with the dynamic mechanisms of
self-sustaining process and regeneration of turbulence.
Choi et al.
[15]
figured that, the reduction of drag was
mainly caused by the negative spanwise vorticity in the
near wall region which was generated by the interaction
between streamwise vortex and induced Stokes layer by
SWO. They also observed the distortion of streaks in the
flow with oscillating wall. However, Baron et al.
[4]
and
Dhanak et al.
[6]
figured out that the mechanism of the
drag reduction was the movement of low-speed streaks
related to the longitudinal vortices, which disturbed the
spatial coherence between the longitudinal vortices and
the low-speed streaks, and caused the weakening of the
streaks. Based on the turbulence regeneration mecha-
Received September 9, 2008; accepted November 10, 2008
doi: 10.1007/s11433-009-0165-3
†
Corresponding author (email: fangjian@sjp.buaa.edu.cn)
Supported by the Key Subjects of National Natural Science Foundation of China
(Grant No. 10732090), the National Natural Science Foundation of China (Grant
No. 50476004), and the 111 Project (Grant No. B08009)
Sci China Ser G-Phys Mech Astron | Aug. 2009 | vol. 52 | no. 8 | 1233-1243