The flow regimes associated with 2:1 aspect ratio elliptical planform cavities of varying depth immersed in a turbulent boundary layer at a Reynolds number of 8.7 × 104, based on the minor axis of the cavity, have been quantified from particle image velocimetry measurements and three-dimensional steady computational fluid dynamics simulations (Reynolds stress model closure). Although these elliptical cavity flows have some similarities with nominally two-dimensional and rectangular cases, three-dimensional effects due to the low aspect ratio and curvature of the walls give rise to features exclusive to low aspect ratio elliptical cavities, including formation of cellular structures at intermediate depths and vortex structures within and downstream of the cavity.

References

References
1.
Friesing
,
H.
,
1963
, “
Measurement of the Drag Associated With Recessed Surfaces: Cut-Outs of Rectangular and Elliptical Planform
,” ZWBFB 628 (RAE Library Translation 1614, 1971).
2.
Roshko
,
A.
,
1955
Some Measurements of Flow in a Rectangular Cutout
,” Report No. NACA TN 3488.
3.
Tani
,
I.
,
Iuchi
,
M.
, and
Komoda
,
H.
,
1961
, “
Experimental Investigation of Flow Separation Associated With a Step or Groove
,” Aeronautical Research Institute, University of Tokyo, Report No. 364.
4.
Charwat
,
A. F.
,
Roos
,
J. N.
,
Dewey
,
F. C.
, and
Hitz
,
J. A.
,
1961
, “
An Investigation of Separated Flows—Part I: The Pressure Field
,”
J. Aerospace Sci.
,
28
(
6
), pp.
457
470
. Available at http://arc.aiaa.org/doi/abs/10.2514/8.9037
5.
ESDU
,
2004
, “
Aerodynamics and Aero-Acoustics of Rectangular Planform Cavities. Part I: Time-Averaged Flow
,” Data Item No. 02008.
6.
Khadivi
,
T.
,
2012
, “
Experimental and Numerical Study of Flow Structures Associated With Low Aspect Ratio Elliptical Cavities
,” Ph.D. thesis,
University of Western Ontario
,
London, ON, Canada
.
7.
Maull
,
D. J.
, and
East
,
L. F.
,
1963
, “
Three-Dimensional Flow in Cavities
,”
J. Fluid Mech.
,
16
, pp.
620
632
.10.1017/S0022112063001014
8.
Haigermoser
,
C.
,
Scarano
,
F.
, and
Onorato
,
M.
,
2008
, “
Investigation of the Flow in a Rectangular Cavity Using Tomographic and Time Resolved PIV
,”
Proceedings of ICAS 26th International Congress of the Aeronautical Sciences
,
Anchorage, AK
.
9.
Brown
,
G. L.
, and
Roshko
,
A.
,
1974
On Density Effects and Large Structure in Turbulent Mixing Layer
,”
J. Fluid Mech.
,
64
(
4
), pp.
775
816
.10.1017/S002211207400190X
10.
Ashcroft
,
G.
, and
Zhang
,
X.
,
2005
, “
Vortical Structures Over Rectangular Cavities at Low Speed
,”
Phys. Fluids
,
17
, p.
015104
.10.1063/1.1833412
11.
Haigermoser
,
C.
,
Vesely
,
L.
,
Novara
,
M.
, and
Onorato
,
M.
,
2008
, “
A Time-Resolved Particle Image Velocimetry Investigation of a Cavity Flow With a Thick Incoming Turbulent Boundary Layer
,”
Phys. Fluids
,
20
, p.
105101
.10.1063/1.2990043
12.
Murray
,
N.
,
Sällström
,
E.
, and
Ukeiley
,
L.
,
2009
, “
Properties of Subsonic Open Cavity Flow Fields
,”
Phys. Fluids
,
21
, p.
095103
.10.1063/1.3210772
13.
Ukeiley
,
L.
, and
Murray
,
N.
,
2005
, “
Velocity and Surface Pressure Measurements in an Open Cavity
,”
Exp. Fluids
,
38
, pp.
656
671
.10.1007/s00348-005-0948-x
14.
Gaudet
,
L.
, and
Winter
,
K. G.
,
1973
, “
Measurements of the Drag of Some Characteristic Aircraft Excrescences Immersed in Turbulent Boundary Layers
,” Royal Aircraft Establishment, Technical Memorandum Aero.
15.
Hiwada
,
M.
,
Kawamura
,
T.
,
Mabuchi
,
I.
, and
Kumada
,
M.
,
1983
, “
Some Characteristics of Flow Pattern and Heat Transfer Past a Circular Cylindrical Cavity
,”
Bull. JSME
,
25
(
220
), pp.
1744
1752
.10.1299/jsme1958.26.1744
16.
Savory
,
E.
,
Toy
,
N.
, and
Gaudet
,
L.
,
1996
, “
Effect of Lip Configuration on the Drag of a Circular Cavity
,” Emerging Techniques in Drag Reduction, Mechanical Engineering Publications Ltd., pp.
317
335
.
17.
Dybenko
,
J.
, and
Savory
,
E.
,
2008
, “
An Experimental Investigation of Turbulent Boundary Layer Flow Over Surface Mounted Circular Cavities
,”
IMechE J. Aerospace Eng.
,
222
, pp.
109
125
.10.1243/09544100JAERO117
18.
Savory
,
E.
, and
Toy
,
N.
,
1993
The Flows Associated With Elliptical Cavities,” Symposium on Separated Flows
,
ASME Fluids Engineering Conference
,
Washington, DC
, FED Paper No. 149, pp.
95
103
.
19.
Hering
,
T.
, and
Savory
,
E.
,
2007
, “
Flow Regimes and Drag Characteristics of Yawed Elliptical Cavities With Varying Depth
,”
ASME J. Fluids Eng.
,
129
(12)
, pp.
1577
1583
.10.1115/1.2801365
20.
Ritchie
,
S. A.
,
Lawson
,
N. J.
, and
Knowles
,
K.
,
2003
, “
An Experimental and Numerical Investigation of an Open Transonic Cavity
,”
21st Applied Aerodynamics Conference, AIAA
,
Orlando, FL
.
21.
Haigermoser
,
C.
,
Scarano
,
F.
, and
Onorato
,
M.
,
2009
, “
Investigation of the Flow in a Circular Cavity Using Stereo and Tomographic Particle Image Velocimetry
,”
Exp. Fluids
,
46
, pp.
517
526
.10.1007/s00348-008-0577-2
22.
Czech
,
M.
,
Savory
,
E.
,
Toy
,
N.
, and
Mavrides
,
T.
,
2001
, “
Flow Regimes Associated With Yawed Rectangular Cavities
,”
Aeronaut. J.
,
105
, pp.
125
134
.
23.
Zdanski
,
P. S. B.
,
Ortega
,
M. A.
,
Fico
,
N. G. C. R., Jr.
,
2003
, “
Numerical Study of the Flow Over Shallow Cavities
,”
Comput. Fluids
,
32
, pp.
953
974
.10.1016/S0045-7930(02)00067-1
24.
Durteste
,
S.
,
2001
, “
Analysis of Cavity Drag Using Glasgow University Flow Code
,”
Final Year Project
,
University of Glasgow
,
Glasgow, Scotland, UK
.
25.
Hering
,
T.
,
Dybenko
,
J.
, and
Savory
,
E.
,
2006
, “
Experimental Verification of CFD Modeling of Turbulent Flow Over Circular Cavities
,” Canadian Society for Mechanical Engineering Forum, Kananaskis, Canada.
26.
Ferziger
,
J. H.
, and
Perić
,
M.
,
1996
,
Computational Methods for Fluid Dynamics
,
Springer-Verlag
,
Berlin
.
27.
Daly
,
B. J.
, and
Harlow
,
F. H.
,
1970
, “
Transport Equations in Turbulence
,”
Phys. Fluids
,
13
, pp.
2634
2649
.10.1063/1.1692845
28.
Lien
,
F. S.
, and
Leschziner
,
M. A.
,
1994
Assessment of Turbulent Transport Models Including Non-Linear RNG Eddy-Viscosity Formulation and Second-Moment Closure
,”
Comput. Fluids
,
23
(
8
), pp.
983
1004
.10.1016/0045-7930(94)90001-9
29.
Launder
,
B. E.
,
1989
, “
Second-Moment Closure and Its Use in Modeling Turbulent Industrial Flows
,”
Int. J. Numer. Methods Fluids
,
9
, pp.
963
985
.10.1002/fld.1650090806
30.
Launder
,
B. E.
,
1989
, “
Second-Moment Closure: Present… and Future?
,”
Int. J. Heat Fluid Flow
,
10
(
4
), pp.
282
300
.10.1016/0142-727X(89)90017-9
31.
Celik
,
I. B.
,
Ghia
,
U.
,
Roache
,
P. J.
,
Freitas
,
C. J.
,
Coleman
,
H.
, and
Raad
,
P. E.
,
2008
, “
Procedure for Estimation and Reporting of Uncertainty Due to Discretization in CFD Applications
,”
ASME J. Fluids Eng.
,
130
(
7
), p.
078001
.10.1115/1.2960953
32.
Kim
,
S. E.
, and
Choudhury
,
D.
,
1995
, “
A Near-Wall Treatment Using Wall Functions Sensitized to Pressure Gradient
,”
ASME FED Separated and Complex Flows, ASME
, Vol. 217, pp.
273
279
.
33.
Hering
,
T.
,
2006
, “
Lift and Drag of Yawed Elliptical Cavities With Varying Depths
,” M.E.Sc. thesis,
University of Western Ontario
,
London, ON, Canada
.
34.
Saric
,
W. S.
,
1998
, “
Influence of High-Amplitude Noise on Boundary-Layer Transition to Turbulence
,” Final Technical Report, AFOSR, No. F49620-96-1-0369.
35.
Cower
,
E. A.
, and
Monismith
,
S. G.
,
1997
, “
A Hybrid Digital Tracking Velocimetry Technique
,”
Exp. Fluids
,
22
, pp.
199
211
.10.1007/s003480050038
36.
Wheeler
,
A.
, and
Ganji
,
A.
,
1996
,
Introduction to Engineering Experimentation
,
2nd ed.
,
Prentice-Hall Inc.
,
New Jersey
.
37.
Jeong
,
J.
, and
Hussain
,
F.
,
1995
, “
On the Identification of a Vortex
,”
J. Fluid Mech.
,
285
, pp.
69
94
.10.1017/S0022112095000462
38.
Savory
,
E.
,
Toy
,
N.
,
Disimile
,
P. J.
, and
Dimicco
,
R. G.
,
1993
, “
The Drag of Three-Dimensional Rectangular Cavities
,”
Appl. Sci. Res.
,
50
, pp.
325
346
.10.1007/BF00850565
39.
Savory
,
E.
,
Yamanishi
,
Y.
,
Okamoto
,
S.
, and
Toy
,
N.
,
1997
, “
Experimental Investigation of the Wakes of Three-Dimensional Rectangular Cavities
,”
Proceedings of the 3rd International Conference on Experimental Fluid Mechanics
,
Kaliningrad, Russia
, June, pp.
11
15
.
You do not currently have access to this content.