In this study, the effects of entropy layer on the boundary layer over hypersonic blunt cones for a thermochemical equilibrium gas are investigated. The flow and stability characteristics of the entropy and boundary layers are presented considering the chemical reactions. It is found that the entropy layer has little influence on the inner layer inside the boundary layer. The inner layer thickness increases when chemical equilibrium is considered, which stems from the enhanced viscosity protection near the wall surface. At the leading edge of the blunt cone, due to the effects of the equilibrium gas, the temperature in the boundary and entropy layers decreases and the boundary-layer-edge parameters significantly change. The entropy layer gradually vanishes along the downstream direction, and the effects of chemical reactions are concentrated in the boundary layer. The entropy swallowing point of the equilibrium gas does not significantly differ from that of the perfect gas. For all the analyzed cases, chemical reactions stabilize the entropy layer instability modes. The instability region and the frequency range of the equilibrium gas decrease, and the growth rate of the most unstable perturbation of the equilibrium gas is considerably smaller than that of the perfect gas. Moreover, the results show that the equilibrium gas has a minor influence on the process of the blunt cone boundary layer solution tending to the sharp cone solution.

1.
E. H.
Hirschel
and
C.
Weiland
,
Selected Aerothermodynamic Design Problems of Hypersonic Flight Vehicles
(
Springer Science & Business Media
,
2009
).
2.
J. K.
Yakura
, “
Theory of entropy layers and nose bluntness in hypersonic flow
,”
Hypersonic Flow Res.
7
,
421
470
(
1962
).
3.
J.
Ou
,
B.
Wan
,
J.
Liu
, and
W.
Cao
, “
Basic flow characteristics in entropy layer of hypersonic flow around blunt body
,”
Acta Mech. Sin.
36
,
238
246
(
2018
).
4.
Y.
Zhu
,
X.
Chen
,
J.
Wu
,
S.
Chen
,
C.
Lee
, and
M.
Gad-el-Hak
, “
Aerodynamic heating in transitional hypersonic boundary layers: Role of second-mode instability
,”
Phys. Fluids
30
,
011701
(
2018
).
5.
P. H.
Adam
and
H. G.
Hornung
, “
Enthalpy effects on hypervelocity boundary-layer transition: Ground test and flight data
,”
J. Spacecr. Rockets
34
,
614
619
(
1997
).
6.
J.
Zhou
and
W.
Cao
, “
Effects of entropy layer on the boundary layer over hypersonic blunt cones considering entropy swallowing
,”
Phys. Fluids
33
,
076101
(
2021
).
7.
K. F.
Stetson
,
E. R.
Thompson
,
J. C.
Donaldson
, and
L. G.
Siler
, “
Laminar boundary layer stability experiments on a cone at Mach 8. II. Blunt cone
,” AIAA Paper No. 84-0006,
1984
.
8.
E.
Kufner
,
U.
Dallmann
, and
J.
Stilla
, “
Instability of hypersonic flow past blunt cones: Effects of mean flow variations
,” AIAA Paper No. 1993-2983,
1993
.
9.
A. V.
Fedorov
, “
Instability of the entropy layer on a blunt plate in supersonic gas flow
,”
J. Appl. Mech. Tech. Phys.
31
,
722
728
(
1990
).
10.
R.
Henderson
,
B. C.
Chynoweth
,
A. D.
Abney
,
C.
Ward
,
S. P.
Schneider
,
R.
Greenwood
, and
C. G.
Moraru
, “
Transition and instability measurements in a Mach 6 quiet wind tunnel
,” AIAA Paper No. 2014-0074,
2014
.
11.
B.
Wan
,
J.
Chen
,
G.
Tu
,
X.
Xiang
,
X.
Yuan
, and
M.
Duan
, “
Effects of nose bluntness on entropy-layer stabilities over cones and wedges
,”
Acta Mech. Sin.
39
,
122176
(
2022
).
12.
A.
Batista
,
A. A.
Khan
, and
J.
Kuehl
, “
On the mechanism by which nose bluntness suppresses second-mode instability
,”
Theor. Appl. Mech. Lett
10
,
230
(
2020
).
13.
M. R.
Malik
,
R. E.
Spall
, and
C. L.
Chang
, “
Effect of nose bluntness on boundary layer stability and transition
,” AIAA Paper No. 90-0112,
1990
.
14.
V. I.
Lysenko
, “
Influence of the entropy layer on the stability of a supersonic shock layer and transition of the laminar boundary layer to turbulence
,”
J. Appl. Mech. Tech. Phys
31
,
868
873
(
1990
).
15.
H.
Goparaju
,
S.
Unnikrishnan
, and
D. V.
Gaitonde
, “
Effects of nose bluntness on hypersonic boundary-layer receptivity and stability
,”
J. Spacecr. Rockets
58
,
668
(
2021
).
16.
P.
Paredes
,
M. M.
Choudhari
,
F.
Li
,
J. S.
Jewell
,
R. L.
Kimmel
,
E. C.
Marineau
, and
G.
Grossir
, “
Nose-tip bluntness effects on transition at hypersonic speeds
,”
J. Spacecr. Rockets
56
,
369
(
2019
).
17.
L.
Jia
and
X.
Zhong
, “
Linear stability analysis of nose bluntness effects on hypersonic boundary layer transition
,”
J. Spacecr. Rockets
49
,
24
37
(
2012
).
18.
K.
Kara
,
P.
Balakumar
, and
O. A.
Kandil
, “
Effects of nose bluntness on hypersonic boundary-layer receptivity and stability over cones
,”
AIAA J.
49
,
2593
2606
(
2011
).
19.
X.
Li
,
D.
Fu
, and
Y.
Ma
, “
Direct numerical simulation of hypersonic boundary layer transition over a blunt cone with a small angle of attack
,”
Phys. Fluids
22
,
025105
(
2010
).
20.
A. V.
Fedorov
and
A.
Tumin
, “
Evolution of disturbances in entropy layer on blunted plate in supersonic flow
,”
AIAA J.
42
,
89
94
(
2004
).
21.
E.
Krause
and
V.
Zakkay
, “
Boundary conditions at the outer edge of the boundary layer on blunted conical bodies
,”
AIAA J.
1
,
1671
1672
(
1963
).
22.
R. T.
Greenwood
, “
Measurements of entropy-layer instabilities over cone-ogive-cylinders at Mach 6
,” Doctoral dissertation (
Purdue University
,
2014
).
23.
K. F.
Stetson
, “
Nosetip bluntness effects on cone frustum boundary layer transition in hypersonic flow
,”
16th Fluid and Plasmadynamics Conference
(
1983
).
24.
E. C.
Marineau
,
G. C.
Moraru
,
D. R.
Lewis
,
J. D.
Norris
,
J. F.
Lafferty
,
R. M.
Wagnild
, and
J. A.
Smith
, “
Mach 10 boundary layer transition experiments on sharp and blunted cones
,” AIAA Paper No. 2014-3108,
2014
.
25.
Y.
Han
,
J.
Zhou
, and
W.
Cao
, “
Determination of entropy-swallowing point of blunt hypersonic cone
,”
Phys. Fluids
34
,
026101
(
2022
).
26.
S. G.
Mallinson
,
N. R.
Mudford
, and
S. L.
Gai
, “
Leading-edge bluntness effects in hypervelocity flat plate flow
,”
Phys. Fluids
32
,
046106
(
2020
).
27.
M. R.
Malik
and
E. C.
Anderson
, “
Real gas effects on hypersonic boundary-layer stability
,”
Phys. Fluids A
3
,
803
821
(
1991
).
28.
C. L.
Chang
,
H.
Vinh
,
M.
Malik
, and
H.
Vinh
, “
Hypersonic boundary-layer stability with chemical reactions using PSE
,” in
28th Fluid Dynamics Conference
(
1997
).
29.
E.
Ulker
,
J.
Klentzman
, and
A.
Tumin
, “
Stability of boundary layers in binary mixtures of oxygen and nitrogen
,” AIAA Papr No. 2011-370,
2011
.
30.
F. M.
Miró
,
E. S.
Beyak
,
F.
Pinna
, and
H. L.
Reed
, “
Ionization and dissociation effects on boundary-layer stability
,”
J. Fluid Mech
13
,
907
(
2021
).
31.
R. N.
Gupta
,
J. M.
Yos
, and
R. A.
Thompson
, “
A review of reaction rates and thermodynamic and transport properties for the 11-species air model for chemical and thermal nonequilibrium calculations to 30 000 K
,”
Report No. NASA-RP-1232
,
1989
.
32.
A.
D'angola
,
G.
Colonna
,
C.
Gorse
, and
M.
Capitelli
, “
Thermodynamic and transport properties in equilibrium air plasmas in a wide pressure and temperature range
,”
Eur. Phys. J. D
46
,
129
150
(
2008
).
33.
J. D.
Anderson
,
Hypersonic and High Temperature Gas Dynamics
(
AIAA
,
2006
).
34.
K.
Gersten
,
Boundary-Layer Theory
(
Springer
,
2017
).
35.
M. R.
Malik
, “
Hypersonic flight transition data analysis using parabolized stability equations with chemistry effects
,”
J. Spacecr. Rockets
40
,
332
344
(
2003
).
36.
Y.
Han
and
W.
Cao
, “
Flat-plate hypersonic boundary-layer flow instability and transition prediction considering air dissociation
,”
Appl. Math Mech.
40
,
719
736
(
2019
).
37.
R. L.
Kimmel
,
M. A.
Klein
, and
S. N.
Schwoerke
, “
Three-dimensional hypersonic laminar boundary-layer computations for transition experiment design
,”
J. Spacecr. Rockets
34
,
409
415
(
2015
).
38.
A. C.
Laible
,
Numerical Investigation of Boundary-Layer Transition for Cones at Mach 3.5 and 6.0
(
University of Arizona
,
2011
).
39.
C. P.
Knisely
and
X.
Zhong
, “
Sound radiation by supersonic unstable modes in hypersonic blunt cone boundary layers. I. Linear stability theory
,”
Phys. Fluids
31
,
024103
(
2019
).
40.
J.
Xu
and
J.
Liu
, “
Wall-cooling effects on secondary instabilities of Mack mode disturbances at Mach 6
,”
Phys. Fluids
34
,
044105
(
2022
).
41.
J.
Xu
,
J.
Liu
,
S.
Mughal
,
P.
Yu
, and
J.
Bai
, “
Secondary instability of Mack mode disturbances in hypersonic boundary layers over micro-porous surface
,”
Phys. Fluids
32
,
044105
(
2020
).
42.
L.
Lees
, “
Laminar heat transfer over blunt-nosed bodies at hypersonic flight speeds
,”
J. Jet Propul.
26
,
259
269
(
1956
).
You do not currently have access to this content.