Recently, an inverse design algorithm called ball–spine algorithm (BSA) was introduced for the design of 2D ducts. In this approach, the walls are considered as a set of virtual balls that can move freely along the straight directions called spines. In the present work, the method is developed for quasi-three-dimensional (quasi-3D) design of S-shaped ducts with a predefined width. To do so, the upper and lower lines of the S-duct symmetric section are modified under the BSA and then, the 3D S-duct geometry is obtained based on elliptic cross-sectional profiles. The target pressure distributions (TPDs) along the upper and lower lines are prescribed so that separation does not occur. Finally, the flow through the designed S-duct is numerically analyzed using a viscous flow solver with the SST turbulence model to validate the designed S-duct performance. The performance of the designed S-duct is compared to original and optimized versions of a benchmark S-duct diffuser. Results show that the present S-duct has a better performance.

References

References
1.
Zhang
,
W. L.
,
Knight
,
D. D.
, and
Smith
,
D.
,
2000
, “
Automated Design of a Three-Dimensional Subsonic Diffuser
,”
J. Propul. Power
,
16
(
6
), pp.
1132
1140
.10.2514/2.5688
2.
Wellborn
,
S. R.
,
Reichert
,
B. A.
, and
Okiishi
,
T. H.
,
1992
, “
An Experimental Investigation of the Flow in a Diffusing S-Duct
,” 28th Joint Propulsion Conference and Exhibit, Nashville, TN, July 6–8,
AIAA
Paper No. 92-3622.10.2514/6.1992-3622
3.
Lee
,
B. J.
,
Kim
,
C.
, and
Rho
,
O. H.
,
2003
, “
Aerodynamic Optimization for the Subsonic S-Shaped Diffuser Using Two-Equation Turbulence Models
,”
16th Computational Fluid Dynamics Conference
, Orlando, FL, June 3–26,
AIAA
Paper No. 2003-3960.10.2514/6.2003-3960
4.
Lefantzi
,
S.
, and
Knight
,
D. D.
,
2002
, “
Automated Design Optimization of a Three-Dimensional S-Shaped Subsonic Diffuser
,”
J. Propul. Power
,
18
(
4
), pp.
913
921
.10.2514/2.6017
5.
Yi
,
J.
,
Kim
,
C.
, and
Lee
,
B. J.
,
2012
, “
Adjoint-Based Design Optimization of Vortex Generator in an S-Shaped Subsonic Inlet
,”
AIAA J.
,
50
(
11
), pp.
2492
2507
.10.2514/1.J051687
6.
Lamm
,
P. K.
,
1993
, “
Inverse Problems and Ill-Posedness
,” Inverse Problems in Engineering: Theory and Practice, ASME, New York, pp. 1–10.
7.
Garabedian
,
P.
, and
McFadden
,
G.
,
1982
, “
Design of Supercritical Swept Wings
,”
AIAA J.
,
20
(
3
), pp.
289
291
.10.2514/3.7912
8.
Nili-Ahmadabadi
,
M.
,
Durali
,
M.
,
Hajilouy
,
A.
, and
Ghadak
,
F.
,
2009
, “
Inverse Design of 2D Subsonic Ducts Using Flexible String Algorithm
,”
Inverse Probl. Sci. Eng.
,
17
(
8
), pp.
1037
1057
.10.1080/17415970903047451
9.
Nili-Ahmadabadi
,
M.
,
Hajilouy
,
A.
,
Durali
,
M.
, and
Ghadak
,
F.
,
2010
, “
Duct Design in Subsonic and Supersonic Flow Regimes With and Without Normal Shock Waves Using Flexible String Algorithm
,”
Sci. Iran. J.
,
17
(
3
), pp.
179
193
.
10.
Nili-Ahmadabadi
,
M.
,
Hajilouy
,
A.
,
Ghadak
,
F.
, and
Durali
,
M.
,
2010
, “
A Novel 2-D Incompressible Viscous Inverse Design Method for Internal Flows Using Flexible String Algorithm
,”
ASME J. Fluids Eng.
,
132
(
3
), p.
031401
.10.1115/1.4001072
11.
Nili-Ahmadabadi
,
M.
,
Durali
,
M.
, and
Hajilouy
,
A.
,
2010
, “
A Novel Quasi-3D Design Method for Centrifugal Compressor Meridional Plane
,”
ASME
Paper No. GT2010-23341.10.1115/GT2010-23341
12.
Liou
,
M. S.
, and
Steffen
,
C.
,
1993
, “
A New Flux Splitting Scheme
,”
J. Comput. Phys.
,
107
(1), pp.
23
39
.10.1006/jcph.1993.1122
13.
Roe
,
P. L.
,
1981
, “
Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes
,”
J. Comput. Phys.
,
43
(
2
), pp.
357
372
.10.1016/0021-9991(81)90128-5
14.
Menter
,
F. R.
,
1994
, “
Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications
,”
AIAA J.
,
32
(
8
), pp.
1598
1605
.10.2514/3.12149
15.
Sovran
,
G.
, and
Klomp
,
E. D.
,
1965
, “
Experimentally Determined Optimum Geometries for Rectilinear Diffusers With Rectangular, Conical or Annular Cross-Section
,”
Fluid Mechanics of Internal Flow
,
Elsevier
,
New York
, pp.
270
319
.
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