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SIMULATION OF ADSORPTION GENERATORS FOR OPTIMAL
PERFORMANCE
Bob Critoph, Steven Metcalf, Ángeles Rivero Pacho University of Warwick
Heat Powered Cycles, Nottingham, 27-29 June 2016
Contents
• Introduction
• Plate designs
• Shell and tube designs to date
• Adsorbent material
• Simulation of shell and tube adsorbers
• Simulation of finned tubes
• Shell and tube results
• Finned tube results
• Conclusions
Plate designs Topmacs project for car air conditioning: Nominal bed conductivity was
0.4 W/mK but thermal mass of steel too high.
Past shell and tube designs
Carbon packed between 1.2 mm tubes
• Recommended by consultants
• Beware consultants!
• Output power low due to lower than expected heat transfer in shell
and tube generators.
• Measured conductivity approx 0.2 W/mK.
Past shell and tube designs
Shell and tube heat exchanger
150 mm
40
0 m
m
0.8 mm
3 mm 1.2 mm
Past shell and tube designs
Carbon packed between 1.2 mm tubes
What is the optimum tube diameter and pitch? Could it be made better??
Past shell and tube designs
What is the optimum tube diameter and pitch? Could it be made better??
What is the optimum tube diameter and pitch? Could it be made better?? Simulate heat pump cycles in Matlab, using a range of carbon adsorbents.
Adsorbent material ADSORBENT
Density
(kg m-3)
Specific heat
(J kg-1 K-1)
Conductivity
(W m-1 K-1) x0 n K
Granular 208C 650 175+2.245*T(K) 0.1 0.2775 5.445 1.46
208C + lignin
binder 791 175+2.245*T(K) 0.32 0.2775 5.445 1.46
208C + silane
binder 704 175+2.245*T(K) 0.26 0.2344 4.453 1.318
208C
Grain monolith 750 175+2.245*T(K) 0.6 0.3629 3.6571 0.9
75 % 208C +
25% ENG 770 175+2.245*T(K) 1.03 0.2775*0.75 5.445 1.46
50 % 208C +
50% ENG 1025 175+2.245*T(K) 1.65 0.2775*0.5 5.445 1.46
n
satT
TKxx 1exp0
Adsorbent material ADSORBENT
Density
(kg m-3)
Specific heat
(J kg-1 K-1)
Conductivity
(W m-1 K-1) x0 n K
Granular 208C 650 175+2.245*T(K) 0.1 0.2775 5.445 1.46
208C + lignin
binder 791 175+2.245*T(K) 0.32 0.2775 5.445 1.46
208C + silane
binder 704 175+2.245*T(K) 0.26 0.2344 4.453 1.318
208C
Grain monolith 750 175+2.245*T(K) 0.6 0.3629 3.6571 0.9
75 % 208C +
25% ENG 770 175+2.245*T(K) 1.03 0.2775*0.75 5.445 1.46
50 % 208C +
50% ENG 1025 175+2.245*T(K) 1.65 0.2775*0.5 5.445 1.46
n
satT
TKxx 1exp0
Adsorbent material ADSORBENT
Density
(kg m-3)
Specific heat
(J kg-1 K-1)
Conductivity
(W m-1 K-1) x0 n K
Granular 208C 650 175+2.245*T(K) 0.1 0.2775 5.445 1.46
208C + lignin
binder 791 175+2.245*T(K) 0.32 0.2775 5.445 1.46
208C + silane
binder 704 175+2.245*T(K) 0.26 0.2344 4.453 1.318
208C
Grain monolith 750 175+2.245*T(K) 0.6 0.3629 3.6571 0.9
75 % 208C +
25% ENG 770 175+2.245*T(K) 1.03 0.2775*0.75 5.445 1.46
50 % 208C +
50% ENG 1025 175+2.245*T(K) 1.65 0.2775*0.5 5.445 1.46
n
satT
TKxx 1exp0
Adsorbent material ADSORBENT
Density
(kg m-3)
Specific heat
(J kg-1 K-1)
Conductivity
(W m-1 K-1) x0 n K
Granular 208C 650 175+2.245*T(K) 0.1 0.2775 5.445 1.46
208C + lignin
binder 791 175+2.245*T(K) 0.32 0.2775 5.445 1.46
208C + silane
binder 704 175+2.245*T(K) 0.26 0.2344 4.453 1.318
208C
Grain monolith 750 175+2.245*T(K) 0.6 0.3629 3.6571 0.9
75 % 208C +
25% ENG 770 175+2.245*T(K) 1.03 0.2775*0.75 5.445 1.46
50 % 208C +
50% ENG 1025 175+2.245*T(K) 1.65 0.2775*0.5 5.445 1.46
n
satT
TKxx 1exp0
Adsorbent material ADSORBENT
Density
(kg m-3)
Specific heat
(J kg-1 K-1)
Conductivity
(W m-1 K-1) x0 n K
Granular 208C 650 175+2.245*T(K) 0.1 0.2775 5.445 1.46
208C + lignin
binder 791 175+2.245*T(K) 0.32 0.2775 5.445 1.46
208C + silane
binder 704 175+2.245*T(K) 0.26 0.2344 4.453 1.318
208C
Grain monolith 750 175+2.245*T(K) 0.6 0.3629 3.6571 0.9
75 % 208C +
25% ENG 770 175+2.245*T(K) 1.03 0.2775*0.75 5.445 1.46
50 % 208C +
50% ENG 1025 175+2.245*T(K) 1.65 0.2775*0.5 5.445 1.46
n
satT
TKxx 1exp0
Adsorbent material ADSORBENT
Density
(kg m-3)
Specific heat
(J kg-1 K-1)
Conductivity
(W m-1 K-1) x0 n K
Granular 208C 650 175+2.245*T(K) 0.1 0.2775 5.445 1.46
208C + lignin
binder 791 175+2.245*T(K) 0.32 0.2775 5.445 1.46
208C + silane
binder 704 175+2.245*T(K) 0.26 0.2344 4.453 1.318
208C
Grain monolith 750 175+2.245*T(K) 0.6 0.3629 3.6571 0.9
75 % 208C +
25% ENG 770 175+2.245*T(K) 1.03 0.2775*0.75 5.445 1.46
50 % 208C +
50% ENG 1025 175+2.245*T(K) 1.65 0.2775*0.5 5.445 1.46
n
satT
TKxx 1exp0
Simulation of shell and tube adsorbers
Water flow
Steel
Carbon
Radial direction
Axial direction
Adiabatic surface
nl nodes
nr nodes
• 2-bed cycle with heat recovery
• 3 cycles for periodicity
• Typical time step 0.02 s
Simulation of shell finned tube adsorbers
• 2-bed cycle with heat recovery
• 3 cycles for periodicity
• Time step in metal ≈ 1/20 x carbon
Water flow
Steel
Carbon
Radial direction
Axial direction
Adiabatic surface
nl nodes
nr nodes
Aluminium
Shell and tube results
1.15
1.17
1.19
1.21
1.23
1.25
1.27
1.29
1.31
1.33
1.35
0 1000 2000 3000 4000 5000 6000 7000
CO
Ph
Output power per unit volume (kW/m3)
time 20
time 30
time 40
time 50
time 60
time 70
time 90
time 110
time 130
time 150
time 170
time 200
Envelope
Range of heat recovery times Heating, cooling times
• Existing 1.2 mm tube diameter
• Existing 3 mm tube pitch
• 208C carbon with lignin binder
• Return water from load 50C
• High temperature water 170C
• TEVAP 5C
Shell and tube results – materials comparison
1.15
1.17
1.19
1.21
1.23
1.25
1.27
1.29
1.31
1.33
1.35
0 1000 2000 3000 4000 5000 6000 7000 8000
ENG + carbon (50%)ENG + carbon (75%)Lignin + carbonMonolithic grainsSilane blockVibrated grainsEnvelope - ENG + carbon (50%)Envelope - ENG + carbon (75%)Envelope - Lignin + carbonEnvelope - Monolithic grainsEnvelope - Silane + carbonEnvelope - Vibrated grains
Output power per unit volume (kW/m3)
CO
Ph
Conclusion: restrict further analysis to 208C + lignin binder Examine different tube diameters and pitches
1.15
1.17
1.19
1.21
1.23
1.25
1.27
1.29
1.31
1.33
1.35
0 2000 4000 6000 8000 10000 12000 14000
Pitch = 2.5 mm
Pitch = 3 mm
Pitch = 4 mm
Pitch = 5 mm
Envelope - Pitch = 2.5 mm
Envelope - Pitch = 3 mm
Envelope - Pitch = 4 mm
Envelope - Pitch = 5 mm
Shell and tube results – pitch comparison with 1.2 mm tube
Conclusion: Present pitch not far from optimum 2.5 to 4 mm Could finned tubes offer an improvement?
CO
Ph
Output power per unit volume (kW/m3)
Finned tube results (3 mm diameter) O
utp
ut
he
atin
g p
ow
er
pe
r u
nit
vo
lum
e
(kW
/m3
)
1.00
1.05
1.10
1.15
1.20
1.25
1.30
0
1000
2000
3000
4000
5000
6000
7000
8000
9000
10 30 50 70 90 110
CO
Ph
Half heating/cooling time (s)
Power - Time rec. = 0s - Low hw Power - Time rec. = 50s - Low hwPower - Time rec. = 0s - High hw Power - Time rec. = 50s - High hwCOPh - Time rec. = 0s - Low hw COPh - Time rec. = 50s - Low hwCOPh - Time rec. = 0s - High hw COPh - Time rec. = 50s - High hw
Finned tube results • Higher pitches are feasible, desirable • Higher pitches lead to water side heat transfer
becoming dominant. • Graph shows effect of increasing water side heat
transfer x 10
1.00
1.05
1.10
1.15
1.20
1.25
1.30
0
1000
2000
3000
4000
5000
6000
7000
8000
9000
10 30 50 70 90 110
CO
Ph
Ou
tpu
t h
eati
ng
po
wer
per
un
it v
olu
me
(kW
/m3)
Half heating/cooling time (s)
Power - Time rec. = 0s - Low hw Power - Time rec. = 50s - Low hwPower - Time rec. = 0s - High hw Power - Time rec. = 50s - High hwCOPh - Time rec. = 0s - Low hw COPh - Time rec. = 50s - Low hwCOPh - Time rec. = 0s - High hw COPh - Time rec. = 50s - High hw
Finned tube, 3 mm dia. , high water H.T.
• 3 mm diameter is not necessarily optimal • Higher pitches mean easier manufacturing • Changing cycle times allow good modulation
1.15
1.17
1.19
1.21
1.23
1.25
1.27
1.29
1.31
1.33
1.35
0 2000 4000 6000 8000
CO
Ph
Output power per unit volume (kW/m3)
Pitch = 6 mm
Pitch = 8 mm
Pitch = 10 mm
Pitch = 12 mm
Pitch = 16 mm
Envelope - Pitch = 6 mm
Envelope - Pitch = 8 mm
Envelope - Pitch = 10 mm
Envelope - Pitch = 12 mm
Envelope - Pitch = 16 mm
Conclusions
• Control strategies provide a useful degree of modulation with acceptable COP variation
• Existing shell and tube design is not far from optimal
• Finned tube designs should be easier to manufacture and have better performance
• Water side heat transfer will be limiting
• Future work will identify desired tube and fin dimensions
Thanks for your attention!