For many propulsion devices, the thrust may be augmented considerably by adding a passive ejector, and these devices are especially attractive for unsteady propulsion systems such as pulse detonation engines and pulsejets. Starting vortices from these unsteady devices dominate the flowfield and control to a great extent the level of the thrust augmentation. Therefore, it is of fundamental interest to understand the geometric influences on the starting vortex and how these manifest themselves in augmenter/ejector performance. An unsteady Reynolds averaged Navier–Stokes calculation was used to study the physics of a starting vortex generated at the exit of a pulsed jet and its interaction with an ejector. A 50 cm long pulsejet (typical hobby scale, allowing comparison with experimental data) with a circular exit was modeled as the resonant driving source and used to suggest an optimal ejector geometry and relative position. Computed limit-cycle thrust augmentation values compared favorably to experimentally obtained values for the same ejector geometries. Results suggest that the optimal diameter of the ejector is related to its relative position, dictated by the trajectory of the vortex toroid. The effect of the length of the ejector (which determines the natural frequency of the ejector, related to the acoustic processes occurring in the ejector) on overall performance was also investigated and shown to be less important than the ejector diameter.

References

1.
Heffer
,
J.
,
Miller
,
R.
, and
Freeman
,
C.
, 2008, “
The Time-resolved Flow within an Unsteady Ejector
,”
46th AIAA Aerospace Sciences Meeting and Exhibit
,
Reno, Nevada
, AIAA-2008-117.
2.
Amin
,
S. M.
, and
Garris
,
C. A.
, 1996, “
Experimental Investigation of a Nonsteady Flow Thrust Augmenter
,”
J. Propuls. Power
,
12
(
4
), pp.
724
729
.
3.
Lockwood
,
R. M.
, 1961, “
Interim Summary Report on Investigation of the Process of Energy Transfer from an Intermittent Jet to Secondary Fluid in an Ejector-type Thrust Augmenter
,” Hiller Aircraft Report No. ARD–286.
4.
Allgood
,
D.
, and
Gutmark
,
E.
, 2005, “
Performance Measurements of Pulse Detonation Engine Ejectors
,”
43rd AIAA Aerospace Sciences Meeting and Exhibit
, 10–13 January,
Reno, Nevada
, AIAA 2005-223.
5.
Allgood
,
D.
, and
Gutmark
,
E.
, 2004, “
Experimental Investigation of a Pulse Detonation Engine with a 2D Ejector
,”
42nd AIAA Aerospace Sciences Meeting and Exhibit
,
Reno, Nevada
, AIAA-2004-864.
6.
Shehadeh
,
R.
,
Saretto
,
S.
,
Lee
,
S.-Y.
,
Pal
,
S.
, and
Santoro
,
R. J.
, 2004, “
Thrust Augmentation Measurements for a Pulse Detonation Engine Driven Ejector
,”
40th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit
,
Fort Lauderdale, Florida
, AIAA 2004-3398.
7.
Wilson
,
J.
,
Sgondea
,
A.
,
Paxson
,
D. E.
, and
Rosenthal
,
B. N.
, 2007, “
Parametric Investigation of Thrust Augmentation by Ejectors on a Pulsed Detonation Tube
,”
AIAA J. Propuls. Power
,
23
(
1
), pp.
108
115
.
8.
Wilson
,
J.
, 2003, “
A Simple Model of Pulsed Ejector Thrust Augmentation
,” NASA/CR—2003-212541.
9.
Paxson
,
D. E.
,
Wernet
,
M. P.
, and
Wentworth
,
T. J.
, 2007, “
Experimental Investigation of Unsteady Thrust Augmentation Using a Speaker-Driven Jet
,”
AIAA J.
,
45
(
3
), pp.
607
614
.
10.
Shariff
,
K.
, and
Leonard
,
A.
, 1992, ‘‘
Vortex rings
,”
Annu. Rev. Fluid Mech.
24
, pp.
235
279
.
11.
Didden
,
N.
, 1979, “
On the Formation of Vortex Rings: Rolling-up and Production of Circulation
,”
J. Appl. Math. Phys.
30
, pp.
101
116
.
12.
Gharib
,
M.
,
Rambod
,
E.
, and
Shariff
,
K.
, 1998, “
A universal time scale for vortex ring formation
,”
J. Fluid Mech.
,
360
, pp.
121
140
.
13.
Arakeri
,
J. H.
,
Das
,
D.
,
Krothapalli
,
A.
, and
Lourenco
,
L.
, 2004, “
Vortex ring formation at the open end of a shock tube: A particle image velocimetry study
,”
Phys. Fluids
,
16
(
4
), pp.
1008
1019
.
14.
Ishii
,
R.
,
Fujimoto
,
H.
,
Hatta
,
N.
, and
Umeda
,
Y.
, 1999, “
Experimental and numerical analysis of circular pulse jets
,”
J. Fluid Mech.
,
392
, pp.
129
153
.
15.
Archer
,
P. J.
,
Thomas
,
T. G.
, and
Coleman
,
G. N.
, 2008, “
Direct numerical simulation of vortex ring evolution from the laminar to the early turbulent regime
,”
J. Fluid Mech.
,
598
, pp.
201
226
.
16.
Danaila
,
I.
, and
Hélie
,
J.
, 2008, “
Numerical simulation of the postformation evolution of a laminar vortex ring
,”
Phys. Fluids
20
,
073602
.
17.
Paxson
,
D. E.
,
Wilson
,
J.
, and
Dougherty
,
K. T.
, 2002, “
Unsteady Ejector Performance: An Experimental Investigation Using a Pulsejet Driver
,”
38th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit
,
Indianapolis, Indiana
, AIAA–2002-3915.
18.
Paxson
,
D. E.
,
Litke
,
P. J.
,
Schauer
,
F. R.
,
Bradley
,
R. P.
, and
Hoke
,
J. L.
, 2006, “
Performance Assessment of a Large Scale Pulsejet-Driven Ejector System
,”
44th AIAA Aerospace Sciences Meeting and Exhibit
,
Reno, Nevada
, AIAA–2006-1021.
19.
Geng
,
T.
,
Paxson
,
D. E.
,
Zheng
,
F.
,
Kuznetsov
,
A. V.
, and
Roberts
,
W.L.
, 2010, “
Comparison between Numerically Simulated and Experimentally Measured Flowfield Quantities behind a Pulsejet
,”
Flow Turbulence Combust
84
, pp.
653
667
.
20.
Freitas
,
C. J.
, 1999, “
The Issue of Numerical Uncertainty
”,
Second International Conference on cfd in the Minerals and Process Industries
,
CSIRO
,
Melbourne, Australia
.
21.
Menter
,
F. R.
, 1994, “
Two-equation eddy-viscosity turbulence models for engineering applications
,”
AIAA-J.
,
32
(
8
), pp.
1598
1605
.
22.
Shehadeh
,
R.
,
Saretto
,
S.
,
Lee
,
S.-Y.
,
Pal
,
S.
, and
Santoro
,
R. J.
, 2003, “
Experimental Study of a Pulse Detonation Engine Driven Ejector
,”
39th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit
,
Huntsville, Alabama
, AIAA 2003-4972.
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