Turbulence characteristics of supersonic corner flows in a low
aspect ratio rectangular channel
Rohan R. Morajkar
*
, Mirko Gamba
†
Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48105
In this study we present the experimental results of stereo particle image velocimetry conducted in
the corner of a Mach 2.75 low aspect ratio rectangular channel flow. Data is recorded at multiple
cross-section planes and analyzed to study the formation of corner vortices and their effects on the
structure of the mean flow field. Results show that several vortex elements exist instantaneously in
the corner, however they do not conform to the time-averaged secondaryflow structure proposed by
previous studies. Decomposing the flow into a large and small scale components, along with condi-
tional averaging, makes it possible to capture and describe the properties of, the large scale corner
vortices which are similar to the description of corner vortex pair proposed by previous studies. A
conditional definition of corner vortex pair in instantaneous fields is introduced which facilitates the
statistical study of their properties.
Nomenclature
x = Streamwise flow direction
y = Side-wall normal direction
z = Bottom-wall normal direction
U = Ensemble-average streamwise flow velocity component
V = Ensemble-average flow velocity in y-direction
W = Ensemble-average flow velocity in z-direction
u = Instantaneous velocity in x-direction
v = Instantaneous velocity in y-direction
w = Instantaneous velocity in z-direction
t = Wall tangential direction
n = Wall normal direction
δ
99
= 99 % boundary layer thickness
ω
RR
= Rigid rotation vorticity
ω = Conventional vorticity
Subscripts:
x,y,z
= Derivative in respective direction
w
= Quantity evaluated at the wall
∞
= Quantity evaluated in freestream
L,S
= Large and Small scale quantity
Superscripts:
0 = Fluctuation quantity
+
= Inner wall scale
Other:
ψ, hψi = Ensemble average of property ψ
*
Graduate Student Research Assistant, AIAA Member, rohanrm@umich.edu
†
Assistant Professor, AIAA Member, mirkog@umich.edu
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American Institute of Aeronautics and Astronautics
Downloaded by University of Michigan - Duderstadt Center on December 14, 2017 | http://arc.aiaa.org | DOI: 10.2514/6.2016-1590
54th AIAA Aerospace Sciences Meeting
4-8 January 2016, San Diego, California, USA
10.2514/6.2016-1590
Copyright © 2016 by Rohan Morajkar, Mirko Gamba.
Published by the American Institute of Aeronautics and Astronautics, Inc., with permission.
AIAA SciTech Forum