Experimental results are reported providing information on the downstream mixing evolution in axial pipe flow mixers where a scalar is introduced into the pipe via a coaxial injection tube. Experiments were conducted in a 25.4 mm diameter water pipe flow loop 25,700>RD>28,500, in which a fluorescein dye was coaxially injected. The injection tube diameter was 1.5 mm. Three velocity ratios, VR=0.5, 1.0, and 2.0 were explored, where VR=Vjet/Vmain. The present results indicate that the effects of velocity ratio on the scalar concentration statistics are mainly evident in the first several outer pipe diameters downstream. In the far field, velocity ratio effects are shown to be insignificant on the concentration statistics. All cases showed a similar trend of an initial increase in variance at the centerline as the injected fluid begins mixing with the main pipe flow. This is followed by a region of rapid “exponential-like” decay, followed by a much slower decay rate after approximately 50 pipe diameters. Space-time correlations of the scalar concentration between far field locations verify the low wavenumber motions as predicted by the recent theory of Kerstein and McMurtry [A. Kerstein and P. McMurtry, “Low-wave-number statistics of randomly advected passive scalars,” Phys. Rev. E 50, 2057 (1994)], and are consistent with the slower than exponential downstream mixing rate.

1.
Nye
,
J.
, and
Brodkey
,
R.
,
1967
, “
The Scalar Spectrum in the Viscous-Convective Subrange
,”
J. Fluid Mech.
,
29
, pp.
151
163
.
2.
Hartung
,
K. H.
, and
Hibby
,
J. W.
,
1972
, “
Beschleunigung der Turbulenten Mischung in Rohren
,”
Chem. Eng. Technol.
,
44
,
1051
1056
.
3.
Forney
,
L.
,
Nafia
,
N.
, and
Vo
,
H.
,
1996
, “
Optimum Jet Mixing in a Tubular Reactor
,”
AIChE J.
,
42
(
11
),
3113
3122
.
4.
Ger
,
A. M.
, and
Holley
,
E. R.
,
1976
, “
Comparison of Single-Point Injections in Pipe Flow
,”
J. Hydraul. Div., Am. Soc. Civ. Eng.
,
102
,
731
745
.
5.
Fitzgerald
,
S. D.
, and
Holley
,
E. R.
,
1981
, “
Jet Injections for Optimum Mixing in Pipe Flow
,”
J. Hydraul. Div., Am. Soc. Civ. Eng.
,
107
,
1179
1195
.
6.
Edwards
,
A. C.
,
Sherman
,
W. D.
, and
Breidenthal
,
R. E.
,
1985
, “
Turbulent Mixing in Tubes with Transverse Injection
,”
AIChE J.
,
31
,
516
518
.
7.
O’Leary
,
C. D.
, and
Forney
,
L. J.
,
1985
Optimization of In-line Mixing at a 90 Degree Tee
,”
Ind. Eng. Chem. Process Des. Dev.
,
24
,
332
338
.
8.
Sroka
,
L. M.
, and
Forney
,
L. J.
,
1989
, “
Fluid Mixing with a Pipeline Tee:Theory and Experiment
,”
AIChE J.
,
35
,
406
414
.
9.
Forney, L., 1986, “Jet Injection for Optimum Pipeline Mixing,” Encyclopedia of Fluid Mechanics Volume 2-Dynamics of Single-Fluid Flows and Mixing, N.P. Cheremisinoff, ed., Gulf Publishing Company, Houston.
10.
Corrsin
,
S.
,
1964
, “
The Isotropic Turbulent Mixer: Part II. Arbitrary Schmidt Number
,”
AIChE J.
,
10
,
870
877
.
11.
Smith, J., 1981, Chemical Engineering Kinetics, Mcgraw-Hill New York.
12.
Kerstein
,
A.
, and
McMurtry
,
P.
,
1994
, “
Low-Wave-Number Statistics of Randomly Advected Passive Scalars
,”
Phys. Rev. E
,
50
,
2057
2063
.
13.
Guilkey
,
J.
,
Kerstein
,
A.
,
McMurtry
,
P.
, and
Klewicki
,
J.
,
1997
, “
Mixing Mechanism in Tubrulent Pipe Flow
,”
Phys. Fluids
,
9
,
717
723
.
14.
Guilkey
,
J.
,
McMurtry
,
P. A.
, and
Klewicki
,
J. C.
,
1997
, “
Effect of Inlet Conditions on Scalar Statistics in Pipe Mixing
,”
AIChE J.
,
43
,
1947
1962
.
15.
Hansen
,
L.
,
Guilkey
,
J.
,
McMurtry
,
P.
, and
Klewicki
,
J.
,
2000
, “
The Use of Photoactivatable Fluorophores in the Study of Turbulent Pipe Mixing: Effects of Inlet Geometry
,”
Meas. Sci. Technol.
,
11
,
1235
1250
.
16.
Choi
,
D.
,
Gessner
,
R.
, and
Oates
,
G.
,
1986
, “
Measurements of Confined, Coaxial Jet Mixing With Pressure Gradient
,”
ASME J. Fluids Eng.
,
108
,
39
46
.
17.
Habib
,
M.
, and
Whitelaw
,
J.
,
1979
, “
Velocity Characteristics of a Confined Coaxial Jet
,”
ASME J. Fluids Eng.
,
101
,
521
529
.
18.
Curtet
,
R.
, and
Ricou
,
F.
,
1964
, “
On the Tendency to Self-Preservation in Axisymmetric Ducted Jets
,”
ASME J. Basic Eng.
,
86
,
765
776
.
19.
Razinsky
,
E.
, and
Brighton
,
J.
,
1971
, “
Confined Jet Mixing for Nonseparating Conditions
,”
ASME J. Basic Eng.
,
93
(
2
),
333
349
.
20.
Champagne
,
F.
, and
Wygnanski
,
I.
,
1971
, “
An Experimental Investigation of Coaxial Turbulent Jets
,”
Int. J. Heat Mass Transfer
,
14
,
1445
1464
.
21.
Ko
,
N. W. M.
, and
Kwan
,
A. S. H.
,
1976
, “
The Initial Region of Subsonic Coaxial Jets
,”
J. Fluid Mech.
,
73
,
305
332
.
22.
Kwan
,
A. S. H.
, and
Ko
,
N. W. M.
,
1977
, “
The Initial Region of Subsonic Coaxial Jets. Part 2.
,”
J. Fluid Mech.
,
82
,
273
287
.
23.
Ko
,
N. W. M.
, and
Chan
,
W. T.
,
1979
, “
The Inner Region of Annular Jets
,”
J. Fluid Mech.
,
93
,
549
584
.
24.
Ko
,
N. W. M.
, and
Lam
,
K. M.
,
1984
, “
Further Measurements in the Initial Region of an Annular Jet
,”
J. Sound Vib.
,
92
,
333
348
.
25.
Au
,
H.
, and
Ko
,
N. W. M.
,
1987
, “
Coaxial Jets of Different Mean Velocity Ratios. Part 2.
,”
J. Sound Vib.
,
116
,
427
443
.
26.
Dahm
,
W.
,
Frieler
,
C.
, and
Tryggvason
,
G.
,
1992
, “
Vortex Structure and Dynamics in the Near Field of a Coaxial Jet
,”
J. Fluid Mech.
,
241
,
371
402
.
27.
Buresti
,
G.
,
Talamelli
,
A.
, and
Pentagna
,
P.
,
1994
, “
Experimental Characterization of the Velocity Field of a Coaxial Jet Configuration
Exp. Therm. Fluid Sci.
,
9
,
135
146
.
28.
Wicker
,
R. B.
, and
Eaton
,
J. K.
,
1994
, “
Near Field of a Coaxial Jet With and Without Axial Excitation
,”
AIAA J.
,
32
,
542
546
.
29.
Warda
,
H. A.
,
Kassab
,
S. Z.
,
Elshorbagy
,
K. A.
, and
Elsaadawy
,
E. A.
,
1999
, “
An Experimental Investigation of the Near-Field Region of a Free Turbulent Coaxial Jet Using LDA
Flow Meas. Instrum.
,
10
,
15
26
.
30.
Sadr
,
R.
, and
Klewicki
,
J. C.
,
2003
, “
An Experimental Investigation of the Near-Field Flow Development in Coaxial Jets
,”
Phys. Fluids
,
15
,
1233
1246
.
31.
Warhaft
,
Z.
,
2003
, “
Passive Scalars in Turbulent Flows
,”
Annu. Rev. Fluid Mech.
,
32
,
203
240
.
32.
Koochesfahani
,
M.
, and
Dimotakis
,
P.
,
1986
, “
Mixing and chemical reactions in a turbulent liquid mixing layer
,”
J. Fluid Mech.
,
170
,
83
112
.
33.
Klewicki
,
J.
, and
Falco
,
R.
,
1989
, “
On Accurately Measuring Statistics Associated with Small-Scale Structure in Turbulent Boundary Layers Using Hot-Wire Probes
,”
J. Fluid Mech.
,
219
,
119
142
.
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