The 3D flow structure induced by a normal shock-wave/boundary-layer interaction in a transonic diffuser is experimentally and computationally investigated. In the diffuser, the shock wave is located in the diverging section. The experiments are done with wall pressure measurements, oil-flow surface visualization, and Mach number measurements with a laser-induced fluorescence (LIF) method. In the computational work, the Reynolds-averaged Navier–Stokes equations are numerically solved with the k-ω two-equation turbulence model. The numerical solution agrees reasonably well with the experiment and clarifies the vortex structure in the interaction zone along with the 3D behavior of the boundary layer downstream of the shock wave. A careful investigation of the calculated flow reveals that the vortices are generated at the foot of the shock wave. It is also found that a complicated wave configuration is formed near the diffuser corner. A flow model is constructed by considering this wave configuration. This model explains the 3D flow characteristics in the transonic diffuser very well.
Issue Section:
Flows in Complex Systems
References
1.
Chriss
, R. M.
, Hingst
, W. R.
, Strazisar
, A. J.
, and Keith
, T. G.
, 1990
, “An LDA Investigation of the Normal Shock Wave Boundary Layer Interaction
,” Rech. Aérosp.
, 1990-2
, pp. 1
–15
.2.
Handa
, T.
, Masuda
, M.
, and Matsuo
, K.
, 2005
, “Three-Dimensional Normal Shock-Wave/Boundary-Layer Interaction in a Rectangular Duct
,” AIAA J.
, 43
(10
), pp. 2182
–2187
.10.2514/1.129763.
Bruce
, P. J. K.
, Burton
, D. M. F.
, Titchener
, N. A.
, and Babinsky
, H.
, 2011
, “Corner Effect and Separation in Transonic Channel Flows
,” J. Fluid Mech.
, 679
, pp. 247
–262
.10.1017/jfm.2011.1354.
Doerffer
, P.,
and Dallmann
, U.
, 1989
, “Reynolds Number Effect on Separation Structures at Normal Shock Wave/Turbulent Boundary-Layer Interaction
,” AIAA J.
, 27
(9
), pp. 1206
–1212
.10.2514/3.102475.
Bogar
, T. J.
, Sajben
, M.
, and Kroutil
, J. C.
, 1983
, “Characteristic Frequencies of Transonic Diffuser
Flow Oscillations,” AIAA J.
, 21
(9
), pp. 1232
–1240
.10.2514/3.82346.
Inoue
, M.
, Muraishi
, T.
, Masuda
, M.
, and Natsunari
, K.
, 1990
, “Visualization of Transonic Flow in Curved Nozzle With Rectangular Cross-Section by Laser-Induced Fluorescence Method
,” J. Visual. Soc. Jpn
, 10
(2
), pp. 103
–106
(in Japanese).10.3154/jvs.10.Supplement2_1037.
Inoue
, M.
, Masuda
, M.
, and Muraishi
, T.
, 1991
, “Visualization of Transonic Nozzle Flow by Laser-Induced Fluorescence Method
,” J. Visual. Soc. Jpn
, 11
(2
), pp. 39
–42
(in Japanese).10.3154/jvs.11.Supplement2_398.
Hartfield
, R. J.
, Hollo
, S. D.
, and McDaniel
, J. C.
, 1991
, “Planar Temperature Measurement in Compressible Flows Using Laser-Induced Fluorescence
,” Opt. Lett.
, 16
(2
), pp. 106
–108
.10.1364/OL.16.0001069.
Soga
, T.,
and Niwa
, K.
, 1985
, “On the Rotational and Translational Nonequilibrium in an Underexpanded Free Jet of Nitrogen
,” J. Jpn Soc. Aeronaut. Space Sci.
, 28
, pp. 16
–26
.10.
Carroll
, B. F.
, Lopez-Fernandez
, P. A.
, and Dutton
, J. C.
, 1993
, “Computations and Experiments for a Multiple Normal Shock/Boundary-Layer Interaction
,” J. Propul. Power
, 9
(3
), pp. 405
–411
.10.2514/3.2363611.
Cahen
, J.
, Couaillier
, V.
, Delery
, J.
, and Pot
, T.
, 1995
“Validation of Code Using Turbulence Model Applied to Three-Dimensional Transonic Channel
,” AIAA J.
, 33
(4
), pp. 671
–679
.10.2514/3.1238512.
McMillin
, B. K.
, Lee
, M. P.
, and Hanson
, R. K.
, 1992
, “Planar Laser-Induced Fluorescence Imaging of Shock-Tube Flows With Vibrational Nonequilibrium
,” AIAA J.
, 30
(2
), pp. 436
–443
.10.2514/3.1093513.
Inoue
, M.
, Masuda
, M.
, Muraishi
, M.
, and Hyakutake
, Y.
, 1992
, “Temperature Measurement of Transonic Nozzle Flow by Laser-Induced Fluorescence Method
,” Proceedings of the 6th International Symposium on Flow Visualization
, pp. 525
–529
.14.
Sajben
, M.,
and Kroutil
, J. C.
, 1980
, “Effects of Approach Boundary-Layer Thickness on Oscillating, Transonic Diffuser Flows Inducing a Shock Wave
,” AIAA Paper No. 347.15.
Handa
, T.
, Masuda
, M.
, and Matsuo
, K.
, 2003
, “Mechanism of Shock Wave Oscillation in Transonic Diffusers
,” AIAA J.
, 41
(1
), pp. 64
–70
.10.2514/2.191416.
Wilcox
, D. C.
, 1988
, “Reassessment of the Scale-Determining Equation for Advanced Turbulence Models
,” AIAA J.
, 26
(11
), pp. 1299
–1310
.10.2514/3.1004117.
Wilcox
, D. C.
, 1992
, “Dilatation-Dissipation Corrections for Advanced Turbulence Models
,” AIAA J.
, 30
(11
), pp. 2639
–2646
.10.2514/3.1127918.
Roe
, P. L.
, 1981
, “Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes
,” J. Comput. Phys.
, 43
, pp. 357
–372
.10.1016/0021-9991(81)90128-519.
Yamamoto
, S.,
and Daiguji
, H.
, 1993
, “High-Order-Accurate Upwind Schemes for Solving the Compressible Euler and Navier–Stokes Equations
,” Comput. Fluids
, 22
, pp. 259
–270
.10.1016/0045-7930(93)90058-H20.
Anderson
, J. D.
, 1995
, Computational Fluid Dynamics
, McGraw-Hill
, New York
, pp. 301
–303
.21.
Liou
, M.-S.
, and Coakley
, T. J.
, 1984
, “Numerical Simulations of Unsteady Transonic Flow in Diffusers
,” AIAA J.
, 22
(8
), pp. 1139
–1145
.10.2514/3.4855322.
Perkins
, H. J.
, 1970
, “The Formation of Streamwise Vorticity in Turbulent Flow
,” J. Fluid Mech.
, 44
, pp. 721
–740
.10.1017/S002211207000211223.
Gessner
, F. B.
, 1973
, “The Origin of Secondary Flow in Turbulent Flow Along a Corner
,” J. Fluid Mech.
, 58
, pp. 1
–25
.10.1017/S002211207300209024.
Gavrilakis
, S.
, 1992
, “Numerical Simulation of Low-Reynolds-Number Turbulent Flow Through a Straight Square Duct
,” J. Fluid Mech.
, 244
, pp. 101
–129
.10.1017/S0022112092002982Copyright © 2013 by ASME
You do not currently have access to this content.
