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MODELING THE EFFECTS OF ADDING GRAPHITE FLAKES TO FAM-Z02 IN AN ADSORBER BED Mahdi Nemati Mehr Amir Sharafian Khorshid Fayazmanesh Wendell Huttema Majid Bahrami October 5, 2016

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Page 1: MODELING THE EFFECTS OF ADDING GRAPHITE FLAKES TO …mbahrami/pdf/2016/Modeling the Effects...Heat transfer fluid Silicone oil Balance P TCS 20°C or P TCS T T 90°C 30°C r ... -

MODELING THE EFFECTS OF ADDING GRAPHITE FLAKES

TO FAM-Z02 IN AN ADSORBER BED

Mahdi Nemati Mehr

Amir Sharafian

Khorshid Fayazmanesh

Wendell Huttema

Majid Bahrami

October 5, 2016

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2

Objectives

• Developing a CFD model to predict system performance under different operational conditions

• Understanding heat and mass transfer inside the adsorber bed

• Performing a comprehensive parametric study to see the effects of different parameters on the performance of the adsorption cooling system

• Studying the effects of graphite flakes additive to the adsorbent on the ACS performance

• Investigating the impact of using graphite-based heat exchangers as the adsorber bed

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Motivations and Opportunities

3

The U.S. consumed about 140.43 billion liters of fuel a year for AC systems of light duty vehicles in 2015[1].

[1] Independent Statistics and and Analysis, How much gasoline does the United States consume?, US Energy Information Administration (EIA), March 2016 [2] R. Farrington, J. Rugh. Impact of vehicle air-conditioning on fuel economy, tailpipe emissions, and electric vehicle range. Proceeding of the Earth Technologies Forum, Washington, D.C., October 31, 2000. [3] US Department of Energy, Energy Efficiency and Renewable Energy, www.fueleconmy.gov

During the SFTP-SC03 driving cycle, a vapor compression refrigeration cycle of light-duty vehicle results in increasing[2]:

• CO emissions by 71%

• NOx emissions by 81%

• Non-methane hydrocarbons by 30%

Parasitic Loss 4% - 6%

Power to Wheels 18% - 25%

Drivetrain Loss 5% - 6%

[3]

Engine Loss 68% - 72%

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Schematic of Experimental Test Setup

4

Parameter Value

Working pairs FAM Z02 – water

Heating fluid inlet temperature 90°C

Cooling fluid inlet temperature 30°C

Coolant fluid inlet temperature 20°C

Chilled water inlet temperature 20°C

Heat transfer fluid mass flow rate to adsorber bed Not measured

Heat transfer fluid Silicone oil

Balance

P

TCS

20°C

Evap

ora

tor

P

TCS

T T

90°C 30°C

Co

nd

ense

r

TCS: Temperature control system

Ad

sorb

er

Be

d

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5

Literature Review

Working pairs Reference

Zeolite - Water [1][2][3][4][5][6][7][8][9]

Silica gel – Water [9][10][11][12][13]

Ammonia - Activated Carbon [2]

Ethanol – Activated Carbon [13]

Geometry Reference

1D [1][2][3][4][5][11]

2D [6][7][8][9][10][12]

3D [13][14]

[1] L.M. Sun, et al., Heat Recover. Syst. CHP. 15 (1995) 19–29. [2] N.B. Amar, et al., Appl. Therm. Eng. 16 (1996) 405–418. [3] L.Z. Zhang, Sol. Energy. 69 (2000) 27–35. [4] L. Marletta, et al., Int. J. Heat Mass Transf. 45 (2002) 3321–3330. [5] G. Restuccia, et al., Appl. Therm. Eng. 22 (2002) 619–630. [6] K.C. Leong, Y. Liu, Int. J. Heat Mass Transf. 47 (2004) 4761–4770. [7] K.C. Leong, Y. Liu, Appl. Therm. Eng. 24 (2004) 2359–2374. [8] Y. Liu, K.C. Leong, Int. Commun. Heat Mass Transf. 35 (2008) 618–622. [9] D.B. Riffel, et al., Int. J. Heat Mass Transf. 53 (2010) 1473–1482. [10] G.G. Ilis, et al., Int. Commun. Heat Mass Transf. 38 (2011) 790–797. [11] İ. Solmuş, et al., Int. J. Refrig. 35 (2012) 652–662. [12] A.O. Yurtsever, et. al., Appl. Therm. Eng. 50 (2013) 401–407. [13] H. Niazmand, I. Dabzadeh, Int. J. Refrig. 35 (2012) 581–593. [14] H. Talebian, et al., Int. Conf. Mech. Eng. Adv. Technol., 2012: pp. 1–7

Gaps in literature: - FAM-Z02 as working pair - Few 3D models - No models with effects of thermal contact

resistance (TCR)

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6

Assumptions

Assumptions:

• Ideal gas behavior for adsorbate gas [1-14]

• Uniformly sized spherical particles [1-14]

• Constant thermo-physical properties for materials (except density of adsorbate)

[1-14]

• Thermal equilibrium between particles and adsorbate [1-14]

• Thermal contact resistance

Numerical Tool:

• ANSYS Fluent was used to solve the Navier-Stokes, energy, and uptake equations

• User defined scalar (UDS) module was used in order to simulate uptake rate (ω)

• Mass generation, heat generation, and scalar generation were simulated using

user defined functions (UDF)

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7

Governing Equations

• Continuity

• Momentum

• Energy

. 1 0

refrigerant

refrigerant adsorbent

dv

t dt

2. .2

Cvvv p v v v

t K

2.

3Tv v vI

, , ,1 1adsorbent p adsorbent p refrigerant refrigerant p refrigerant adsorbent adsorption

T dC C vC T h k T

t dt

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8

Governing Equations

• Uptake

[1] A. Sharafian, M. Bahrami, Renewable and Sustainable Energy Reviews, 48 (2015) 857-869. [2] M.J. Goldsworthy, Microporous Mesoporous Material, 196 (2014) 59–67. [3] M. Intini, M. Goldsworthy, S. White, C.M. Joppolo, Applied Thermal Engineering, 80 (2015) 20–30.

mass of adsorbed material kg of adsorbate

mass of adsorbent kg of adsorbent

02

15exps a

equp adsorbent

D Ed

dt R TR

,eq T pf

00

1

00

1

, 11

exp / 1 !1

1 exp / !

s

ss

jnj

jeq jn

s j

j

n

hpK jp RT

n hpK jp RT

0

1

0

max

exp

exp

1

v

n n

v

eq

hk p

RT

hk p

RT

water-FAMZ02 [2]

water-FAMZ02 [3] water-silica gel [1]

[1]

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9

Thermal Contact Resistance (TCR)

𝛿 + 2𝛿𝑇𝐶𝑅

kyy=kads

kxx= kzz=0

ρ=cp=0

kads, ρads, cp,ads

kyy=kads

kxx= kzz=0

ρ=cp=0

kads, ρads, cp,ads

𝛿

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10

Geometry

Periodic Line

Vac

uu

m C

ham

be

r W

all

Pipe

Symmetry Line Periodic

Line

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11

HEX and Vacuum Chamber Arrangement

Heat transfer

fluid

Adsorbent Gap between

HEX and vacuum chamber

Vacuum chamber wall

Front View Side View

HEX fin

TCR

Ad

sorb

ent

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12

Initial and Boundary Conditions

Initial Conditions: - The final solution does not depend on initial conditions due to cyclic operation of ACSs.

- Incorrect initial conditions can result in

divergence (esp. for pressure)

Boundary Conditions: - Pressure at outlet / inlet → Represents pressure at evaporator / condenser

- Temperature at outlet / inlet → Representative for temperature of vapor coming from

(or going to ) at evaporator (condenser)

- Temperature at heat exchanger walls → Represents temperature of heating/cooling fluid

0.05

0.07

0.09

0.11

0.13

0 20 40 60 80 100 120 140

Up

take

(kg

/kg)

Time (min)

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0

5

10

15

20

25

30

35

0 30 60 90 120 150

Wat

er U

pta

ke %

(kg

/kg)

Time (min)

Numerical

Experimental

13

Results – Equilibrium Uptake

Adsorption

Desorption

0

5

10

15

20

25

30

35

0 30 60 90 120 150

Wat

er U

pta

ke %

(kg

/kg)

Time (min)

Experimental

Numerical

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14

Results – Cyclic Operation

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0 5 10 15 20

Up

take

Dif

fere

nce

% (

kg/k

g)

Cycle Time (minute)

Experimental

Numerical

14% 5%

7%

Δω: the difference between the maximum and the minimum values of the uptake

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15

Graphite Doped Adsorbent

0

1

2

3

4

5

6

7

8

9

10

0 300 600 900 1200 1500

Δω

(kg

/kg)

Cycle time (s)

0% graphite5% graphite10% graphite20% graphite

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16

Conclusions and Future Works

Conclusions

• A full three-dimensional finite volume based computational fluid dynamic model was

developed.

• It was shown that if thermal conductivity improvement is performed by adding some non-

adsorptive material like graphite, it could decrease the adsorption performance of the

adsorber bed

Future Works

• Adding the effects of uptake value on thermo-physical properties of an adsorbent.

• Studying the effects of the ideal evaporator and condenser.

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17

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18

Boundary Conditions

1

2

2 3

2

Rectangular Wave (Ideal Case)

1

2

2 3

2

Fourier Series of Rectangular Wave

1

2

2 3

2

Trapezoidal Wave

2 3

2

1

2

Actual Case

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19

Graphite HEX vs. Aluminum HEX

Fin TCR Adsorbent

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20

Graphite HEX vs. Aluminum HEX

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21

Boundary Conditions

0

500

1000

1500

2000

2500

3000

3500

4000

4500

5000

20

30

40

50

60

70

80

90

100

0 150 300 450 600 750 900

Pre

ssu

re a

t b

ou

nd

ary

(Pa)

Co

olin

g/h

eati

ng

tem

per

atu

re (

C)

Time (s)

Temperature Pressure

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22

Results - Graphite HEX vs. Aluminum HEX

14

15

16

17

18

0 150 300 450 600 750 900

Up

take

% (

kg/k

g)

Time (s)

Aluminum Graphite

2.39%

2.21 %

1.58 %

2.06%

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23

Results - Graphite HEX vs. Aluminum HEX

Cycle Time (s)

Δω with Aluminum HEX (SCP)

Δω with Graphite HEX

(SCP)

Enhancement of Δω

300 1.58 % (132) 2.02 % (168) 31 %

480 3.11 % (161) 3.56 % (185) 15.7 %

600 4.12 % (171) 4.62 % (192) 12.1 %

900 6.57 % (154) 7.05 % (175) 7.3 %

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Qih Qibd +

Vapor Compression Refrigeration (VCR) vs. Adsorption Cooling System (ACS)

24

Evap

ora

tor

Q evap

Co

nd

ense

r

Q cond

Expansion valve

Adsorber beds

Compressor

W comp

Qic Qiba +

ih: isosteric heating ibd: isobaric desorption ic: isosteric cooling iba: isobaric adsorption

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Adsorption Refrigeration Cycle

25

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ACS Working Pairs

26

ACS refrigerant (adsorbate):

• Water

• Methanol

• Ethanol

• Ammonia [6] http://www.ucicarbons.com/medical-benefits-activated-carbon/ [7] http://www.weiku.com/products/15374902/_gt_All_kinds_of_desiccant_Desiccant_pack_moisture_absorber_.html [8] http://www.rwlwater.com/zeolite-holds-key-to-waste-heat-use/

ACS sorbent material (adsorbent):

Silica gel [7] Activated carbon [6] Zeolite [8]

𝜕𝜔

𝜕𝑡= 𝐾 𝜔𝑒𝑞 − 𝜔

𝜔𝑒𝑞 = 𝐹 𝑇, 𝑃

LDF model:

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27

How to improve adsorption cycle

• Adsorbate/Adsorbent Pair • Material • Physical shape (consolidated, powder, pelletized particles)

• Heat Exchanger Design

• Dimensions • Weight • Mass transfer resistance

• Thermodynamic cycle

• Heat Recovery • Mass Recovery • Heat and Mass Recovery • Temperature range

• Heat source (Exhaust gas, Coolant) • Refrigerant

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Adsorption Concepts

Adsorption is the adhesion of atoms, ions, or molecules of gas, liquid, or dissolved

solids to a solid surface

28

Two main processes: • Cooling → Adsorption → Evaporation at evaporator

• Heating → Desorption → Condensation at condenser

Exothermic Process

Endothermic Process

Ad

sorb

ent

Adsorbate Adsorbents Adsorbates

silica gel zeolite

activated carbon

FAM-Z02

water methanol/ethanol

ammonia

mass of adsorbed material kg of adsorbate

mass of adsorbent kg of adsorbent

Uptake:

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Advantages and Disadvantages

29

Advantages of ACS [1,2]: • Utilization of waste heat • Few moving parts (valves) less maintenance is required • Non toxic materials • Environmental friendly refrigerants

[1] M. O. Abdullaha, I. A. W. Tana, L. S. Limb., Renewable and Sustainable Energy Reviews (2011); 15: 2061–2072. [2] H. Demir, M. Mobedi, S. Ulku., Renewable and Sustainable Energy Reviews (2008); 12: 2381–2403. [3] R.Z. Wang, J.Y. Wu, Y.X. Xu, W. Wang., Energy Conversion and Management (2001); 42: 233–249.

Major challenges facing commercialization of ACS [2,3]:

• Low working pressure in many cases (1 kPa – 7kPa for the case of water) • Small specific cooling power values

• Small COP values

• Bulky and heavy systems

evap

ads cyc

QSCP

m

evap

ih ibd

QCOP

Q Q

10<typ.<270

0.02<typ.<0.6

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Adsorber Bed Designs

30

Spiral plate Hairpin

Annulus tube

Plate

Plate fin

Finned tube

Plate-tube Tube

Shell and tube

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31

Literature Review on Mass Measurement

[1] Glaznev I, et al., Heat Transf Eng 2010;31:924–30. [2] Aristov YI, et. al.,. Chem Eng Sci 2006;61:1453–8. [3] Aristov YI, et al, . Int J Heat Mass Transf 2008;51:4966–72. [4] Glaznev IS, Aristov YI. Int J Heat Mass Transf 2008;51:5823–7. [5] Okunev BN, et al. Int J Heat Mass Transf 2010;53:1283–9. [6] Glaznev IS, Aristov YI. Int J Heat Mass Transf 2010;53:1893–8. [7] Dawoud B. J Chem Eng Japan 2007;40:1298–306. [8] Schnabel L, et al., Appl Therm Eng 2010;30:1409–16. [9] Freni A, et al., Appl Therm Eng 2015;82:1–7. [10] Dawoud B, Aristov YI. Int J Heat Mass Transf 2003;46:273–81. [11] Dawoud B, et al., Int J Heat Mass Transf 2007;50:2190–9. [12] Solmuş İ, et al., Appl Energy 2010;87:2062–7. [13] Santamaria S, et al., Appl Energy 2014;134:11–9. [14] Sapienza A, et al., Appl Energy 2014;113:1244–51. [15] Storch G, et al., Adsorption 2008;14:275–81. [16] Dawoud B. Appl Therm Eng 2013;50:1645–51. [17] Riffel DB, et al., Int J Heat Mass Transf 2010;53:1473–82.

Mass of adsorbent Reference Working pair

Less than 1 g

[1]

[2][3][4][5][6]

[7][1]

[8]

[9]

silica gel - water

silica gel + CaCl2 (SWS-1L)-water

FAM-Z02-water

zeolite-water

activated carbon-methanol

1 g < mass of adsorbent < 100 g

[10] [10] [11][8][12][13] [9][14]

silica gel-water silica gel + CaCl2 (SWS-1L)-water zeolite-water SAPO 34-water

100 g < mass of adsorbent < 1 kg [15] [16]

zeolite 13X-water FAM-Z02-water

1 kg < mass of adsorbent [17] [17] [16]

silica gel-water zeolite-water FAM-Z02-water

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Adsorber Bed Design – 3 fin per inch – Design I

32

Header

Collector

Parameter Value

No. of supply pipes 1

Supply pipes size 1/2 in

No. of return pipes 6

Return pipes size 3/8 in

No. of fins 17

Fin spacing 9 mm

Fin diameter 6 in

Fin thickness 1/16 in

Fin material Copper

Parameter Value

Cycle time 60 – 90 – 120 – 180 min

Mass of adsorbent 0.620 kg

Design Parameters

Working Parameters

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Adsorber Bed Design – 10 fin per inch – Design II

33

Parameter Value

No. of passes 1

Branch pipes size ½ in

Fitting Size ¾ in

No. of return pipes 6

Fin spacing 10 fpi

Overall Size 12 ¾ x 18 x 1 ½ in

Fin width 1 ½ in

Fin thickness 0.2 mm

Fin material Aluminum

Parameter Value

Cycle time 8 – 10 – 20 – 30 – 60 –

90 – 120 min

Mass of adsorbent 1.5 kg

Design Parameters

Working Parameters

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In-situ Uptake Measurement Setup – Design I

34

Evaporator/ Condenser (at 20°C)

Chiller Pressure transducers

Aluminum lid Hosing Scale

Adsorber bed

Heat transfer fluid (at 30 and 90°C)

Introduction EXPERIMENTAL SETUP Numerical Modeling Conclusion

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In-situ Uptake Measurement Setup – Design II

35

FAM Z02 in new adsorber bed

Adsorber bed Evaporators 1 and 2

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Challenges

36

• Low working pressure of adsorption system (1 kPa – 7 kPa)

• Designing vacuum chamber

• Leaking )Helium leak detector(

• Changes of the density of the heat transfer fluid (silicone oil) with temperature

• Changes of hosing stiffness with temperature

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Measured Parameters

37

25

35

45

55

65

75

85

95

0 10 20 30 40 50 60

Te

mp

era

ture

( C

)

Time (min)

Design IICycle time = 60 min

T bed_i

T bed_o

Adsorption Desorption

0

50

100

150

200

250

300

350

0 10 20 30 40 50 60

Mass (

g)

Time (min)

Design IICycle time = 60 min

Measured mass

Mass change ofsilicone oil

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

5

0 10 20 30 40 50 60

Pevap/c

ond

(kP

a)

Time (min)

Cycle time = 60 min

Design I

Design II

Psat. at 20 C

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FAM Z02- Equilibrium Uptake

38

0

5

10

15

20

25

30

35

40

0 30 60 90 120 150 180 210 240

Wa

ter

up

take

% (

kg

/kg

)

Time (min)

FAM-Z02Tdes = 90 CTads = 30 CTevap/cond = 20 C

Design I

Design II

TGA measurement

0

5

10

15

20

25

30

35

0 30 60 90 120 150 180 210 240

Wate

r upta

ke%

(kg/k

g)

Time (min)

FAM-Z02Tdes = 90 CTads = 30 CTevap/cond = 20 C

Design I

Design II

TGA measurement

Adsorption

Desorption

[1]

[1] [1] Okamoto K, et. al., Int. Symp. Innov.

Mater. Process. Energy Syst., Singapore,

2010.

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FAM Z02- Cyclic Operation

39

0

2

4

6

8

10

12

14

16

18

20

0 20 40 60 80 100 120 140 160 180

Δω

% (k

g/k

g a

dso

rbe

nt)

Cycle time (min)

FAM-Z02Tdes = 90 CTads = 30 CTevap/cond = 20 C

Design I

Design II

0

20

40

60

80

100

120

140

0 20 40 60 80 100 120 140 160 180

SC

Pid

eal(W

/kg)

Cycle time (min)

FAM-Z02Tdes = 90 CTads = 30 CTevap/cond = 20 C

Design I

Design II

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0 20 40 60 80 100 120 140 160 180

CO

Pid

eal

Cycle time (min)

FAM-Z02Tdes = 90 CTads = 30 CTevap/cond = 20 C

Design I

Design II

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40

Ideal SCP vs. Actual SCP

𝑆𝐶𝑃Ideal =∆𝜔 × ℎ𝑓𝑔

𝜏𝑐𝑦𝑐𝑙𝑒=

∆𝑚𝑟𝑒𝑓 × ℎ𝑓𝑔

𝑚𝑎𝑑𝑠 × 𝜏𝑐𝑦𝑐𝑙𝑒

𝑆𝐶𝑃Actual =𝑄𝑒𝑣𝑎𝑝

𝑚𝑎𝑑𝑠 × 𝜏𝑐𝑦𝑐𝑙𝑒

𝑁𝑢𝑚𝑒𝑟𝑖𝑐𝑎𝑙 𝑀𝑜𝑑𝑒𝑙𝑖𝑛𝑔

𝑀𝑎𝑠𝑠 𝑀𝑒𝑎𝑠𝑢𝑟𝑒𝑚𝑒𝑛𝑡

𝐶𝑜𝑜𝑙𝑖𝑛𝑔 𝐸𝑓𝑓𝑒𝑐𝑡 𝑎𝑡 𝐸𝑣𝑎𝑝𝑜𝑟𝑎𝑡𝑜𝑟

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Performance of Different Adsorber Bed Designs

41

0

100

200

300

400

500

0

2

4

6

8

10

12

14

1 2 3 4 5 6 7 8 9 10

SC

P (

W/k

g)

Ad

so

rbe

r b

ed

to

ad

so

rbe

nt

ma

ss r

atio

(kg/k

g)

Adsorber bed type [1]

Mass of adsorber bed/adsorbent

SCP

Adsorber bed to adsorbent mass ratio

0

100

200

300

400

500

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

1 2 3 4 5 6 7 8 9 10

SC

P (

W/k

g)

CO

P

Adsorber bed type [9]

COP

SCP

1. Spiral plate 2. Shell and tube 3. Hairpin 4. Annulus tube 5. Plate fin 6. Finned tube 7. Plate-tube 8. Simple tube 9. Plate

[9] A. Sharafian, M. Bahrami. Renewable and Sustainable Energy Reviews. 30 (2014) 440–451.

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42

Single-Bed ACS Equipped with Capillary-Assisted Evaporator

Adsorber bed

Condenser

Evaporator

FAM Z02 in new adsorber bed

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43

Two-Adsorber Bed FAM-Z02-Water ACS

Adsorber bed 2

Condenser

Evaporator

Adsorber bed 1

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44

Modified Test Setup

Tbed, in Tbed, out

Tevap, out

Tevap, in

• Heat transfer fluid flow rate ≈ 4 lit/min

• Evaporator flow rate ≈ 3 lit/min

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Adsorber Bed Designs

45

Parameter Design I Design II

Working pairs AQSOA FAM-Z02/water

Adsorbent particles diameter (m) 0.002

Mass of adsorbent (kg) 0.62 1.50

Metal mass of adsorber bed (kg) 2.80 2.87

Adsorber bed heat transfer surface area, Abed, (m2) 0.235 2.80

Fin spacing (mm) 6.47 (3.5 fins per inch) 2.34 (10 fins per inch)

Fin dimensions 12.7 cm )5”( diameter 43.18×30.48 cm )17”×12”(

Heating fluid mass flow rate to adsorber bed (kg/s) 0.058 (4.1 L/min of silicone oil)

Cooling fluid mass flow rate to adsorber bed (kg/s) 0.062 (4.1 L/min of silicone oil)

Heat capacity of silicone oil (kJ/kgK) 1.8

Heating fluid inlet temperature (°C) 90

Cooling fluid inlet temperature (°C) 30

Evaporation/condensation temperature (°C) 20

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46

Pressure – 10 fpi, 1500gr

-0.5

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

0 10 20 30 40 50 60

Pre

ssu

re (

kPa)

Time (min)

Evaporator Bed

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Pressure - 3 fpi, 620 gr – Cycle time 60 min

47

0

0.5

1

1.5

2

2.5

3

3.5

0 30 60 90 120 150 180

Pre

ssu

re (

kPa)

Time (min)

Bed Evaporator/Condenser

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48

Pressure within Bed and Evaporator – Design II Modified

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

5

0 15 30 45 60 75 90

Pre

ssu

re (

kPa)

Time (min)

P Bed

P Evap

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49

SCP – Two different Design Comparison

0

10

20

30

40

50

60

70

80

90

100

30 60 90 120 150

SCP

(W

/kg)

Cycle Time (min)

3 fpi

10 fpi

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Results – effects of silicon oil density change

50

0

20

40

60

80

100

120

0 60 120 180 240 300

Mas

s (g

r)

Time (min)

Total Mass Reading

Oil Mass Reading

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51

Low Pressure Evaporator

• Using the new evaporator (capillary assisted)

• Decreasing cycle time to reach the maximum SCP

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FAM Z02- Equilibrium Uptake

52

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The First Generation

53

50 Bodies 511,000 Cell

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Geometries

54

Flow in Flow in