experimental investigation of tube in tube helical coil ...tube helical coil heat exchanger 6.1...
TRANSCRIPT
4437
www.ijifr.com Copyright © IJIFR 2015
Research Paper
International Journal of Informative & Futuristic Research ISSN (Online): 2347-1697
Volume 2 Issue 12 August 2015
Abstract
This Present work represents an Experimental studies for a counter flow tube in tube helical coil heat exchanger where hot water flows through the inner tube and cold water flows through the outer tube. An experimental setup will be used for the estimation of the heat transfer characteristics. A wire will wound over the inner tube to increase the turbulence in turn increases the heat transfer rate. The analysis deals with the pitch variation of the internal wound wire and its result on the heat transfer rate. From Experimental results, heat transfer rate, LMTD, overall heat transfer coefficient, efficiency and Reynolds number, Nusselt number, Friction factor will be calculate.
1. Introduction
To transfer the heat between two fluids Heat exchanger is used which may be in direct contact or
may flow separately in two tubes or channels. We find numerous applications of heat exchangers in
day today life. For example condensers and evaporators used in refrigerators and air conditioners.
In thermal power plant heat exchangers are used in boilers, condensers, air coolers and chilling
towers etc. Similarly the heat exchangers used in automobile industries are in the form of radiators
and oil coolers in engines. Heat exchangers are also used in large scale in chemical and process
industries for transferring the heat between two fluids which are at a single or two states.
Ganesh B. Mhaske 1
M.Tech. Student Department Of Mechanical Engineering Matoshri College of Engineering and Research Center Nashik, India
D. D. Palande 2
Associate Professor Department Of Mechanical Engineering Matoshri College of Engineering and Research Center Nashik, India
Experimental Investigation Of Tube
In Tube Helical Coil Heat Exchanger
Paper ID IJIFR/ V2/ E12/ 018 Page No. 4437-4448 Subject Area Mechanical
Engineering
Key Words Tube-In-Tube Helical Coil, Nusselt Number, Wire Wound, Reynolds Number,
Dean Number, Dead Zone, Efficiency
Received On 05-08-2015 Accepted On 17-08-2015 Published On 18-08-2015
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ISSN (Online): 2347-1697 International Journal of Informative & Futuristic Research (IJIFR)
Volume - 2, Issue - 12, August 2015 24th Edition, Page No: 4437-4448
Ganesh B. Mhaske , D. D. Palande :: Experimental Investigation Of Tube In Tube Helical Coil Heat Exchanger
2. Helical Coil Heat Exchanger- A Review
Recent developments in design of heat exchangers to full fill the demand of industries has led to the
evolution of helical coil heat exchanger as helical coil has many advantages over a straight tube.
Advantages
a. Heat transfer rate in helical coil are higher as compared to a straight tube heat exchanger.
b. Compact structure. It required small amount of floor area compared to other heat
exchangers.
c. Larger heat transfer surface area.
Applications a. Heat exchangers with helical coils are widely used in industries. The most common
industries where heat exchangers are used a lot are power generation plants, nuclear plants,
process plants, refrigeration, heat recovery systems, food processing industries, etc.
b. Helical coil heat exchanger is used for residual heat removal system in islanded or barge
mounted nuclear reactor system, where nuclear energy is used for desalination of sea water.
c. In cryogenic applications including LNG plant.
Table.1 Summary of Tube-In-Tube Helical Coil Heat Exchanger
S. N
o.
Author
&
Year
Title
Mate
rial
Of
Coil
Inner
Tube
Diameter
(mm)
Outer Tube
Diameter (mm)
Rad
ius
of
Cu
rvatu
re
(mm
)
Cu
rvatu
re R
ati
o
Pit
ch o
f th
e co
il
(mm
)
No. of
Tu
rns
Un
fold
Len
gth
(
m)
do
di
Th
ick
nes
s D0
DI
Th
ick
nes
s
1.
Rennie T.J,
Raghavan G.S.V (2002)
Laminar
parallel flow in a
tube-in-tube
helical heat
exchanger
Sta
inle
ss
Ste
el
80
68
12
115
100
15
800
0.0
625
115
- -
2.
Rennie T.J,
Raghavan G.S.V (2005)
Experimental
studies of a
double pipe
helical heat
exchanger
Co
pper
9.5
8.7
0.8
15.9
15.1
0.8
235.9
0.0
33
- - -
3.
Rennie T.J,
Raghavan G.S.V (2006)
Effect of fluid
thermal properties
on the heat
transfer
characteristics in a
doublepipe helical heat exchanger;
Sta
inle
ss S
teel
80
68
12
11
100
15
800
0.0
62
5
115
- -
4439
ISSN (Online): 2347-1697 International Journal of Informative & Futuristic Research (IJIFR)
Volume - 2, Issue - 12, August 2015 24th Edition, Page No: 4437-4448
Ganesh B. Mhaske , D. D. Palande :: Experimental Investigation Of Tube In Tube Helical Coil Heat Exchanger
4.
Kumar V,
Saini S, Sharma
M, Nigam K. D. P.(2006)
Pressuredrop
and heat transfer
study in tube-in-
tube helical heat
exchanger
Ss3
16
25.4
24.2
1.2
50.8
49.6
1.2
762
0.0
33
100
4
10
5.
Kumar V,
Faizee B,
Mridha M,
Nigam K. D. P.(2008)
Numericalstud
ies of a tube-in-
tube helically
coiled heat exchanger
S
s31
6
25
.4
24
.2
1.2
50
.8
49
.6
1.2
76
2
0.0
33
10
0
4
10
6
Gabriela
Huminic, Angel
Huminic.(2011)
Heat
transfercharacteri
stics in double
tube helical heat
exchangers
usingnanofluids Sta
inle
ss S
teel
46
40
6
11
5
10
0
15
80
0
0.0
62
5
11
5
- -
7
Jayakumar J. S,
Mahajani S. M,
Mandal J. C,
Vijayan P.K,
Bhoi R.(2008)
Experimental and
CFD estimation
of heattransfer in
helically coiled
heat exchangers
Ss3
16
10
- - -
12.7
-
150
0.0
423
30
- -
Concluding Remarks from Literature Review
From the literature I find that so much work had been done to find heat transfer characteristic of
helical coil heat exchanger with constant wall temperature and constant heat flux conditions. Also
by changing the working fluid heat transfer relation were found. But effect of pitch variation of the
internal wounded wire and its result on the heat transfer rate is not explained properly. In the
present work the performance of a Tube-in-tube helical coil heat exchanger for a water–water
counter current flow system will be going to study experimentally. The effect of the fluid flow rate
on the heat transfer and hydrodynamics is going to study in the tube as well as in the annulus. In the
present work four turns of coils is consider and also copper wire is to be introduce in the annulus
area of the Tube-in-tube helical coil heat exchanger.
3. Problem Statement Conventional heat exchangers are large in size and heat transfer rate is also less and in conventional
heat exchanger dead zone is produce which reduces the heat transfer rate and to create turbulence in
conventional heat exchanger some external means is required and the fluid in conventional heat
exchanger is not in continuous motion with each other. Tube in tube helical coil heat exchanger
provides a compact shape with its geometry offering more fluid contact and eliminating the dead
zone, increasing the turbulence and hence the heat transfer rate. Helical coiled heat exchangers are
used in order to obtain a large heat transfer per unit volume and to enhance the heat transfer rate on
the inside surface. In present study, Experimental investigation will be carry out for a counter flow
tube in tube helical coil heat exchanger where hot water flows through the inner tube and cold water
flows through the outer tube. Therefore, we switch towards tube in tube helical coil heat exchanger
for better performance than conventional heat exchangers.
4440
ISSN (Online): 2347-1697 International Journal of Informative & Futuristic Research (IJIFR)
Volume - 2, Issue - 12, August 2015 24th Edition, Page No: 4437-4448
Ganesh B. Mhaske , D. D. Palande :: Experimental Investigation Of Tube In Tube Helical Coil Heat Exchanger
4. Objectives The objective of this work is to Experimental analysis of tube in tube helical coil heat exchanger
and find out heat transfer rates, LMTD, overall heat transfer coefficient and Reynolds number,
Nusselt number, friction factor for counter flow arrangement.
5. Scope There are many limitations of conventional heat exchanger like large in size, heat transfer surface is
also less, the fluid which is not in continuous motion with each other, they produce dead zone and
due to that heat transfer is also less. To overcome these limitations Experimental and CFD analysis
for a counter flow tube in tune helical coil heat exchanger will be carry out and compare its results
with conventional heat exchangers from available literature.
6. Experimental Setup
Figure 1: Layout of Experimental-Setup Tube-In-Tube Helical Coil Heat Exchanger
Figure 2: Actual Experimental-Setup Tube-In-Tube Helical Coil Heat Exchanger
4441
ISSN (Online): 2347-1697 International Journal of Informative & Futuristic Research (IJIFR)
Volume - 2, Issue - 12, August 2015 24th Edition, Page No: 4437-4448
Ganesh B. Mhaske , D. D. Palande :: Experimental Investigation Of Tube In Tube Helical Coil Heat Exchanger
6.1 Experimental-Setup consists of following parts
Tube-In-Tube Helical Coil Heat Exchanger
Tank with thermostatic heater
Water Reservoir
Flow Control valve
Pressure Indicator
J-Type thermocouples
Cold tap water will be used for the fluid flowing in the outer tube. The water in the outer tube will
be circulated. The flow will control by a valve, allowing flows to be control and measure between
200 and 500 LPH. Hot water for the inner tube was heated in a tank with the thermostatic heater set
at 600C. This water will be circulated via pump. The flow rate for the inner tube will control by
flow metering valve as described for the outer tube flow. Flexible PVC tubing will use for all the
connections. J-Type thermocouples will insert into the flexible PVC tubing to measure the inlet and
outlet temperatures for both fluids. Temperature data will be recorded using a creative temperature
indicator. The fluid properties of the working fluid (water) was assumed to be constant throughout
the analysis with respect to temperature and presented in the table 1.a
Table 1: The fluid properties of the working fluid (water)
6.2 Construction of Tube-in Tube Helical coil Heat Exchanger
Material
The tube of the heat exchanger is made up of copper for maximize the heat transfer, because copper
has good thermal conductivity. Also the properties of the copper were also remains constant
throughout the analysis. It is represented in table 2.
Table 2: Properties of copper
Description Value Units
Density 8978 kg/m3
Specific Heat Capacity 381 J/kg-K
Thermal Conductivity 387.6 W/m-K
During Construction of Tube-in Tube Helical coil Heat Exchanger following parameters are
taken into considerations
• Effect of curvature ratio on heat transfer
• The Influence of pitch of coil on heat transfer
• Influence of the tube diameter change on heat transfer characteristics
• Influence of the number of coils on the overall heat transfer coefficient.
Actual Selected Dimensions from summary of tube-in-tube helical coil heat exchanger. To increase
heat transfer rate, we have to increase the curvature ratio.
Description Value Units
Viscosity 0.001003 kg/m-s
Density 998.2 kg/m3
Specific Heat Capacity 4182 J/kg-K
Thermal Conductivity 0.6 W/m-K
4442
ISSN (Online): 2347-1697 International Journal of Informative & Futuristic Research (IJIFR)
Volume - 2, Issue - 12, August 2015 24th Edition, Page No: 4437-4448
Ganesh B. Mhaske , D. D. Palande :: Experimental Investigation Of Tube In Tube Helical Coil Heat Exchanger
Figure 3 :Tube-In-Tube Helical Coil Heat Exchanger
6.3 Data Deduction
In present investigation work the heat transfer coefficient and heat transfer rates were determined
based on the measured temperature data. The heat is flowing from inner tube side hot water to outer
tube side cold water.
Mass flow rate of hot water (Kg/sec): mH = QHOT(LPH) × 𝜌 (Kg/m3)
Mass flow rate of hot water (Kg/sec) mC = QCOLD(LPH) × ρ (Kg/m3)
Velocity of hot fluid (m/sec)
VH = 𝑄𝐻𝑂𝑇/(1000×Area)
Heat transfer rate of hot water (J/sec) qH = mH×CP× ΔtHOT× 1000
Heat transfer rate of cold water (J/sec) qC = mC×CP×tCOLD× 1000
Average heat transfer rate Qavg = (qH+ qC)/2
The heat transfer coefficient was calculated with, 𝑈𝑜 =𝑞/ (𝐴×𝐿𝑀𝑇𝐷)
The overall heat transfer surface area was determined based on the tube diameter and developed
area of heat transfer which is A= 0.22272m2, The total convective area of the tube keep constant
for two geometry of coiled heat exchanger. LMTD is the log mean temperature difference, based on
the inlet temperature difference ΔT1, and outlet temperature difference ΔT2,
LMTD=(Δ𝑇1−Δ𝑇2)/ (ln (Δ𝑇1/Δ𝑇2))
The overall heat transfer coefficient can be related to the inner and outer heat transfer coefficients
by the following equation ,
1/𝑈0= (𝐴0/𝐴𝑖ℎ𝑖)+(𝐴0×ln(𝑑𝑜/𝑑𝑖)/2𝜋𝐾𝐿)+(1/ℎ𝑜)
Dimensional parameters Heat
Exchanger
di,mm 10
do,mm 12
Di,mm 23
Do,mm 25
Curvature Radius,mm 125
Stretch Length,mm 3992
Wire diameter, mm 1.5
Curvature ratio 0.1
No. of Turns 4
Table 4 : Dimensional Parameters of Heat Exchanger
Dimensional parameters Heat
Exchanger
di,mm 10
do,mm 12
Di,mm 23
Do,mm 25
Curvature Radius,mm 125
Stretch Length,mm 3992
Wire diameter, mm 1.5
Curvature ratio 0.1
No. of Turns 4
4443
ISSN (Online): 2347-1697 International Journal of Informative & Futuristic Research (IJIFR)
Volume - 2, Issue - 12, August 2015 24th Edition, Page No: 4437-4448
Ganesh B. Mhaske , D. D. Palande :: Experimental Investigation Of Tube In Tube Helical Coil Heat Exchanger
Where di and do are inner and outer diameters of the tube respectively. k is thermal conductivity of
wall material and L, length of tube(stretch length) of heat exchanger. After calculating overall heat
transfer coefficient, only unknown variables are hi and ho convective heat transfer coefficient inner
and outer side respectively, by keeping mass flow rate in annulus side is constant and tube side
mass flow rate varying,
hi= CVin
Where Vi are the tube side fluid velocity m/sec., the values for the constant, C, and the exponent, n,
were determined through curve fitting. The inner heat transfer could be calculated for both circular
and square coil by using Wilson plot method. This procedure is repeated for tube side and annulus
side for each mass flow rate on both helical coils.
The efficiency of the heat exchanger was calculated by,
𝜂 = (1 − 𝑒−𝛼)/ (1 –(𝐶𝑚𝑖𝑛/𝐶𝑚𝑎𝑥 )x 𝑒−𝛼)
The Reynolds number
Re= (𝜌×V×D) /𝜇
Dean number,
De= ((𝜌×V×D) / ) x (𝐷/2𝑅) ½
Friction factor,
(Δ𝑃×𝐷) / (2×𝜌×𝑉2×𝐿)
Table 4: Observations for Cold Water Flow Rate = 480 LPH
Sr.
No.
Hot water
flow rate
(LPH)
Cold Water
Temperature(0c)
Hot Water
Temperature(0c) Δt1
(0c)
Δt2
(0c)
LMTD
(0c)
Tinlet Toutlet Tinlet Toutlet
COLD WATER FLOW RATE = 480 LPH
1 120 30 36 60 40.1 24 10.1 16.06
2 240 30 38 60 42.2 22 12.2 16.62
3 360 30 40 60 45.4 20 15.4 17.14
4 480 30 42 60 47 18 17 17.49
CALCULATIONS:
dio = 0.012 m
dii =0.010 m
AH = (
4) dii
2
=0.0000785
AC = (
4) (dOI
2- dio
2)
=(
4) (0.023
2- 0.012
2)
=3.023 10-4
Heat transfer area = inner side of inner coil (Ai)
= *dii*L = 0.157m2
outer side of inner coil (Ao) = *dio*L = 0.1884m2
wire flow area(Aw) =Aw = ( /4) *dw2xL = ( /4)* 1.5
2x5
4444
ISSN (Online): 2347-1697 International Journal of Informative & Futuristic Research (IJIFR)
Volume - 2, Issue - 12, August 2015 24th Edition, Page No: 4437-4448
Ganesh B. Mhaske , D. D. Palande :: Experimental Investigation Of Tube In Tube Helical Coil Heat Exchanger
Aw = 8.83x10-6
m2
Ai and Ao are the inner and outer tube surface areas
ΔT1 = T3-T2
ΔT1 =60-36
ΔT1 =240C
ΔT2 = T4-T1
ΔT2 =40.1-30
ΔT2 =10.10C
LMTD =( ΔT1- ΔT2)/(ln(ΔT1/ ΔT2))
LMTD =(24-10.1) / (ln(24 / 10.1))
LMTD = 16.060C
Mass flow rate of hot water(Kg/sec)
Mh = QHOT(LPH)* ρ (Kg/m3)
Mh = [QHOT(LPH)*10-3* ρ (Kg/m
3)] / 3600
Mh = [120*10-3
* 983] / 3600
Mh = 0.0327 Kg/sec
Mass flow rate of coldwater(Kg/sec)
Mc = QCOLD(LPH)* ρ (Kg/m3)
Mc = [QCOLD(LPH)*10-3* ρ (Kg/m
3)] / 3600
Mc = [480*10-3
* 1000] / 3600
Mc =0.133 Kg/sec
Velocity of hot fluid (m/sec)
VH = QHOT / [1000*AREAHOT]
VH = 120 / [1000*0.0000785*3600]
VH =0.4246 m/sec
Heat transfer rate of hot water(J/sec)
qh = Mh*CP*(T3-T4)*1000
qh = 0.0327*4.186*(60-40.1)*1000
qh =2723.95 J/sec
CP =4.186 KJ/Kg K
Heat transfer rate of cold water(J/sec)
qc = Mc*CP*(T2-T1)
qc = 0.1333*4.186*(36-30)*1000
qc = 3340.42 J/sec
CP =4.186 KJ/KgK
Average heat transfer rate
Qavg =(qH+ qC)/2
Qavg = (2723.95+3340.42) / 2
Qavg = 3032.18 J/sec
Overall heat transfer coefficient W/m2K
U0 = qC/ [(heat transfer area + wire area)*LMTD]
U0 = 3340.42/ [(0.157+8.83*10-6
)*16.06]
U0 = 1324.74 W/m2K
Reynolds number
4445
ISSN (Online): 2347-1697 International Journal of Informative & Futuristic Research (IJIFR)
Volume - 2, Issue - 12, August 2015 24th Edition, Page No: 4437-4448
Ganesh B. Mhaske , D. D. Palande :: Experimental Investigation Of Tube In Tube Helical Coil Heat Exchanger
Re = (ρ*V*D) / μ
Where
Dynamic viscosity (μ) = 0.000798 (N·s/m²)
Re = 983*0.4246*0.01/0.000798
Re = 5230.34
Dean no. =
√
ρ = density of the fluid
μ = dynamic viscosity
V=axial velocity scale
D=diameter (other shapes are represented by an equivalent diameter)
R=radius of curvature of the path of the channel.
De = Re *(r/R)0.5
De = 5230.34 *(0.1)0.5
De = 1689.89
*Using the Wilson plot method
For 6mm pitch 480 LPH
Average convection coefficient= Rov = Ri + Rw+ Ro
Where
Ri= internal convection resistance
Rw= the tube wall resistance
Ro= external convection resistance
Rov=1 / (hi*Ai)+ [ln(d0/di)/(2 KwLw)]+1/ h0A0
Where
hi and ho are the internal and external convection coefficients,
di and do are the inner and outer tube diameters,
Kw is the tube thermal conductivity,
Lw is the tube length
Ai and Ao are the inner and outer tube surface areas
By reference of Wilson Plot
ROV= (SLOPE)/V0.8
+C1
SLOPE== (Y2-Y1)/(X2-X1)
C1 = 0.0061
ROV=0.006059/0.427308+0.0061
ROV= 0.01806
C2=1/((ROV-C1)*A0*V0.8
)
C2 = 1/((0.01806-0.0061)*0.1884*0.42730.8
)
C2 = 876.19
Convection coefficient
hi=C2*V0.8
hi=876.19*0.42730.8
hi = 443.80 W/m2K
Nusselt number
Nu=(hi*D)/KW
Nu=(443.80*0.01)/0.628
4446
ISSN (Online): 2347-1697 International Journal of Informative & Futuristic Research (IJIFR)
Volume - 2, Issue - 12, August 2015 24th Edition, Page No: 4437-4448
Ganesh B. Mhaske , D. D. Palande :: Experimental Investigation Of Tube In Tube Helical Coil Heat Exchanger
Nu=7.06
For outer side
RW=[ln(d0/di)/(2 KcuLw)]
RW=[ln(0.012/0.010)/(2 *387*5)]
RW = 0.00015
RO=C1-RW
RO = 0.00595
Heat transfer coefficient
hO=1 / RO*0.1884
hO=892.07 W/mK
Nusselt number
Nu=(hO*D)/KW
Nu =(892.07*0.02)/0.628
Nu = 28.40
Velocity of cold water (m/sec)
V= qC/(A*ρ)
Vc = 0.1333/ (3.023*10-4*1000)
Vc= 0.4410 m/sec kinematic viscosity (m²/s)
ν=μ/ρ
ν is the kinematic viscosity
ν= 0.000789/1000
ρCOLD WATER=1000 Kg/m3
OUTSIDE REYNOLD NUMBER
Re= (V*D) /ν
Re=3530.54
OUTSIDE DEAN NUMBER
Dean no.=
√
ρ =is the density of the fluid
μ =is the dynamic viscosity
V=is the axial velocity scale
D=is the diameter (other shapes are represented by an equivalent diameter)
De = Re *(r/R)0.5
De = 11164.55
Friction factor
DH = (doo-dio)
DH = (0.0235-0.0125)
DH = 0.011
f = (ΔP*DH) / (2*ρ*V2*L )
f = (0.5*105*0.011)/(2*1000*0.4410
2*5)
f = 0.2827
Efficiency of Heat Exchanger (η):
e= exponential
C=capacity factor
4447
ISSN (Online): 2347-1697 International Journal of Informative & Futuristic Research (IJIFR)
Volume - 2, Issue - 12, August 2015 24th Edition, Page No: 4437-4448
Ganesh B. Mhaske , D. D. Palande :: Experimental Investigation Of Tube In Tube Helical Coil Heat Exchanger
C=(Cmin)/(Cmax)
=(mH*Cp) / (mc*Cp)
=(0.0327*4.186) / (0.133*4.186)
=0.2458
NTU=U*A /(mh*cp)H
=(1324.74*3.023*10-4
) /(0.0327*4.186)
=2.925
η =(1-e-(1-c)NTU
)/(1-c* e-(1-c)NTU
)
η = 95.46 %
Table 5: Results obtained for Cold water flow rate =480 LPH
Parameters 120 LPH 240 LPH 360 LPH 480 LPH
For Inner Side of Inner Tube
LMTD(0c) 16.06 16.62 17.14 17.49
MH(Kg/sec) 0.0327 0.0655 0.0983 0.131
Mc(Kg/sec) 0.133 0.133 0.133 0.133
VH(m/sec) 0.4246 0.8492 1.2738 1.6985
qH(J/sec) 2723.95 4880.45 6007.66 7128.25
qc(J/sec) 3340.42 4453.90 5567.38 6680.85
Qavg(J/sec) 3132.18 4667.17 5787.52 6704.70
Uo(W/m2k) 1324.74 1706.81 2068.70 2432.74
Re 5230.34 10460.69 15691.04 20922.02
De 1689.89 3307.96 4961.94 6616.11
C1 0.0061 0.00540 0.00490 0.00396
Rov 0.01806 0.01230 0.00548 0.00792
Nu 7.06 12.24 16.93 21.34
For Outer Side Of Inner Tube (Annulus area)
Rw 0.00015 0.00015 0.00015 0.00015
Ro 0.00595 0.00525 0.00475 0.00381
ho(W/m2k) 892.07 1011.02 1117.44 1393.13
Nu 28.40 32.198 35.58 44.37
Vc(m/sec) 0.4410 0.4410 0.4410 0.4410
Re 11164.55 11164.55 11164.55 11164.55
De 3530.54 3530.54 3530.54 3530.54
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ISSN (Online): 2347-1697 International Journal of Informative & Futuristic Research (IJIFR)
Volume - 2, Issue - 12, August 2015 24th Edition, Page No: 4437-4448
Ganesh B. Mhaske , D. D. Palande :: Experimental Investigation Of Tube In Tube Helical Coil Heat Exchanger
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