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Investigation of carbon based adsorbents for the development of
thermally-driven adsorption cooling systems
To cite this article: Faizan Shabir et al 2018 IOP Conf. Ser.: Mater. Sci. Eng. 414 012004
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1234567890‘’“”
ICAET-2018 IOP Publishing
IOP Conf. Series: Materials Science and Engineering 414 (2018) 012004 doi:10.1088/1757-899X/414/1/012004
Investigation of carbon based adsorbents for the development
of thermally-driven adsorption cooling systems
Faizan Shabir1
, Muhammad Sultan1
, Redmond R. Shamshiri2
, Zahid M. Khan1
1
Department of Agricultural Engineering, Bahauddin Zakariya University, Bosan
Road, Multan 60800, Pakistan
2
Adaptive Agro-Tech Research Group International, 948 Via Verde, Del Rey oaks,
California. 93955. USA
Email: muhammadsultan@bzu.edu.pk
Abstract. Adsorption cooling systems are considered as energy efficient and sustainable
technologies from the perspective of environmental safety and thermal energy utilization. These
systems possess zero potentials of ozone depletion and global warming. In adsorption cooling
processes, knowledge of adsorbent-refrigerant pairs (e.g. adsorption equilibrium, kinetics and
heat) is important. The system performance is directly related to interactions between the
adsorbent and refrigerant. Thus, the overall thermodynamic performance of the system can be
improved accordingly. In this study, numerous carbon based adsorbents are explored in detail
with different types of refrigerants (e.g. ethanol, methanol, CO2, R134A etc.). In order to select
the optimum adsorbent-refrigerant pair. The analyses in the study are based on the experimental
data on various adsorbent-refrigerant pairs available in the literature. Various adsorption
isotherms models including: Dubinin-Astakhov, Tóth, Freundlich etc. present adsorption
equilibrium data. Consequently, overall system analyses have been conducted by means of
pressure-temperature-adsorption equilibrium (P-T-W) diagram. The P-T-W diagram is also
drawn from the ideal cycle analysis in order to explain the performance of adsorption cooling
systems. The coefficient of performance of the system has been calculated accordingly for the
studied adsorbent-refrigerant pairs.
Keyword: adsorption cooling; activated carbon; refrigerant; optimization
1. Introduction
Thermally driven adsorption cooling systems are gaining much attention for the reason that, these
systems are energy efficient and environmentally friendly. As the driving source of these systems could
be solar energy or low grade waste heat [1]. Therefore, have a huge potential for adoption in those
regions where there are more number of solar hours per year. Cooling load can be reduced in summer
by utilizing adsorption cooling systems, where the vapor compression systems (VCS) cost a huge
amount of energy. Also, thermally driven systems cause less deterioration of the ecosystem. As the
refrigerant, they utilize (water, ethanol, CO2 and HFCs etc.) gives a low threat for ozone depletion in
contrast to the conventional refrigerants (CFCs) of VCS. Adsorbent-refrigerant pairs for the
development of adsorption cooling systems are studied experimentally by many researchers. Some of
them are activated carbon-CO2 [2-3], activated carbon-ammonia [4], activated carbon fiber-ethanol [5],
activated carbon-R134a [6], Silica gel-water [7-8], Zeolite-water [9], MOF-ethanol [10] and polymer-
water [11-12]. Apart of cooling adsorption system can be utilized for other applications like water
desalination [13], carbon capturing [14] and ice production [15] etc.
In this study, two carbon based adsorbent-ethanol pairs (Supersorbon HS4-ethanol and Dezorex
DB1-ethanol) are selected in order to analyze their potential for the development of adsorption cooling
system. Thermodynamic performance of cooling cycle is evaluated through the ideal cycle analysis.
Hence Specific cooling energy (SCE) and coefficient of performance (COP) are evaluated for both
assorted pairs.
2
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ICAET-2018 IOP Publishing
IOP Conf. Series: Materials Science and Engineering 414 (2018) 012004 doi:10.1088/1757-899X/414/1/012004
2. Working of adsorption cooling system
A typical adsorption cooling system which clearly indicates that these systems are like vapor
compression cooling system (VCS) except the compressor part is presented in Figure 1. In vapor
compression systems, the compressor is electric driven, thus incurs high input cost for cooling and air
conditioning. While in adsorption cooling system prime mover is the thermal compressor, therefore, the
system economics are totally depending on low-cost thermal energy source. Thermal compressor usually
consists of two beds packed with adsorbent material named as (i) adsorption bed and (ii) desorption bed.
In adsorption cooling cycle, low-pressure refrigerant from the evaporator enters the adsorption bed,
where the refrigerant gets adsorbed on to the adsorbent at a pressure equal to evaporator pressure. The
exothermic nature of adsorption process causes adsorbent to release heat during the adsorption process.
The heat of adsorption is removed by cooling water cycle around the adsorption bed. When the adsorbent
becomes fully saturated with refrigerant the bed is switched to desorption mode by heating bed through
the hot water cycle. At the end of desorption process, high-temperature and high-pressure refrigerant
vapors will move toward the condenser. In the condenser, the temperature of refrigerant gets reduced by
exchanging the heat through cooling water cycle. Also, the change in phase will occur, vapor refrigerant
will be converted into liquid refrigerant. Hereafter it will pass through an expansion valve, where the
drop-in pressure gives low pressure and low-temperature liquid refrigerant. That low-pressure
refrigerant offers the required cooling effect, which will exchange by the evaporator and converted into
the vapor phase. For continuous operation of adsorption cooling system, the adsorption and desorption
beds are switched, after a specified switching time, by changing the cooling and heating water supplies
through the valve accordingly.
Figure 1. Schematic of a typical adsorption cooling system.
3. Thermodynamic evaluation of adsorption cooling cycle
Adsorption isotherms of the two assorted pairs Supersorbon HS4-ethanol and Dezorex DB1-ethanol are
reproduced by using Dubinin–Astakhov (D–A) adsorption equilibrium model (Eq.1) [16]. Values of
adsorption isotherm parameters are listed in. The equation of the D-A isotherm model is given as:
Evaporator
Chilled
water out
Chilled
water in
Cooling
water in
Cooling
water out
Condenser
Expansion
valve
Cooling water in
Cooling water out
Hot water out
Hot water in
Adsorption
Bed
Desorption
Bed
3
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ICAET-2018 IOP Publishing
IOP Conf. Series: Materials Science and Engineering 414 (2018) 012004 doi:10.1088/1757-899X/414/1/012004
𝑊 = 𝑊0 exp {− (
𝐴
𝐸
)
𝑛
} (1)
Where W, W0, E, n and A are the equilibrium adsorption uptake, maximum adsorption uptake,
Characteristic energy, structural heterogeneity parameter and adsorption potential, respectively.
Adsorption potential of the absorbent-refrigerant pair can be evaluated as:
𝐴 = 𝑅𝑇 ln (
𝑃𝑠
𝑃
) (2)
Where Ps denotes the saturated pressure of refrigerant for a given temperature, P is the
equilibrium pressure, T is the adsorption temperature and R is the gas constant.
Table 1. D-A adsorption isotherm model parameters
Adsorption isotherms are outlined for different adsorption temperatures from 20-100°C with the
difference of 10°C. The ideal adsorption Cooling cycle is traced along with these isotherms in Figure 2
for (a) Supersorbon HS4-ethanol and (b) Dezorex DB1-ethanol. The operating conditions for the ideal
cycle are fixed at a regeneration temperature of 100°C. While evaporator and adsorption temperatures
are set at 5°C and 30°C respectively.
Figure 2. Ethanol adsorption isotherms produced by D-A adsorption isotherm model for: (a)
Supersorbon HS4, and (b) Dezorex DB1, reproduced from [17].
Performance of ideal cooling cycle can also be evaluated by dühring diagram or pressure-
temperature-concentration (P-T-W) diagram. P-T-W diagram of adsorbent-refrigerant pair expresses a
thermodynamic relation between equilibrium pressure, adsorbent temperature and equilibrium adsorbed
concentration of refrigerant. Isosteric lines in the P-T-W lines are produced by simplifying the D-A
isotherm equation (Eq.1) in the following equations;
ln (
𝑊
𝑊0
) = − (
𝐴
𝐸
)
𝑛
(3)
𝐴 = 𝐸 (− ln (
𝑊
𝑊0
))
1
𝑛
(4)
0
0.1
0.2
0.3
0.4
0 5 10 15 20 25
W
[kg/kg]
Pressure [kPa]
2
1
3
4
(a) Tads [ C]
10 20 30 40
50
60
70
80
90
100
0
0.1
0.2
0.3
0.4
0.5
0 5 10 15 20 25
W
[kg/kg]
Pressure [kPa]
2
1
3
4
(b) Tads [ C]
10
20 30 40
50
60
70
80
90
100
Adsorbent-Refrigerant Pair D-A model Parameters Reference
W0 [cm3
/kg] E [kJ/mol] n
Supersorbon HS4-ethanol 426 8 2.4 [17]
Dezorex DB1-ethanol 508 7.8 1.2 [17]
4
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ICAET-2018 IOP Publishing
IOP Conf. Series: Materials Science and Engineering 414 (2018) 012004 doi:10.1088/1757-899X/414/1/012004
𝑅𝑇 ln (
𝑃𝑠
𝑃
) = 𝐸 (− ln (
𝑊
𝑊0
))
1
𝑛
(5)
𝑃 = 𝑃𝑠 exp [
𝐸
𝑅𝑇
(− ln (
𝑊
𝑊0
))
1
𝑛
]
⁄ (6)
The adsorption cooling cycle consists of four consecutive processes 1-2 an isosteric heating
process (pre-heating), 2-3 isobaric heating (desorption), 3-4 isosteric cooling process (precooling) and
4-1 isobaric cooling process (adsorption) Figure 3 [18]. P-T-W diagram of Supersorbon HS4-ethanol
and Dezorex DB1-ethanol are shown in Figure 3 (a) and (b), respectively. The ideal cycle of both pairs
is constructed for regeneration, evaporator and condenser temperatures of 100°C, 5°C and 30°C,
respectively. To evaluate the performance of ideal cycle a thermodynamic model was employed, which
is time independent [19]. Thus SCE can be defined as:
𝑆𝐶𝐸 = (𝑊
𝑚𝑎𝑥 − 𝑊𝑚𝑖𝑛) [𝐿𝐻𝑇𝑒
− ∫ 𝐶𝑃𝑟𝑒𝑓
𝑑𝑇
𝑇𝑐
𝑇𝑒
] (7)
Whereby Wmax is the maximum uptake of refrigerant evaluated for evaporation pressure and
adsorption temperature and Wmin is minimum uptake measured corresponding to the desorption
temperature and condenser pressure. LHTe is the vaporization enthalpy at evaporator temperature and
𝐶𝑃𝑟𝑒𝑓
shows the specific heat capacity of refrigerant. Heat added to the adsorbent for the increase in
temperature from T1 and T3. is given as:
𝑄𝑎𝑑𝑠 = ∫ 𝐶𝑃𝑎𝑑𝑠
𝑑𝑇
𝑇3
𝑇1
(8)
Where 𝐶𝑃𝑎𝑑𝑠
is the specific heat capacity of adsorbent. Heat added to the refrigerant is given by:
𝑄𝑟𝑒𝑓 = 𝑊
𝑚𝑎𝑥 ∫ 𝐶𝑃𝑟𝑒𝑓
𝑑𝑇
𝑇2
𝑇1
+ ∫ 𝑊. 𝐶𝑃𝑟𝑒𝑓
𝑑𝑇 + ∫ 𝑞𝑠𝑡 𝑑𝑊
𝑊𝑚𝑎𝑥
𝑊𝑚𝑖𝑛
𝑇3
𝑇2
(9)
In Eq. (9), the first and second terms are sensible heats added to the refrigerant during pre-
heating and desorption processes, respectively. Whilst third term is the heat of adsorption. Here the
average values of qst for Supersorbon HS4-ethanol and Dezorex DB1 ethanol Pairs are used 1126.05
kJ/kg and 1038.68 kJ/kg, respectively [17].
Thus, COP of the cycle can be described as:
𝐶𝑂𝑃 =
𝑆𝐶𝐸
𝑄𝑎𝑑𝑠+𝑄𝑟𝑒𝑓
(10)
SCE and COP as a function of desorption temperature are found to increase with the increase in
desorption temperature. SCP reach the maximum value of 180.1 and 128.8 kJ/kg for Supersorbon HS4-
ethanol and Dezorex DB1-ethanol Pairs, respectively, at a regeneration temperature of 100°C. Minimum
desorption temperature was found to be 58°C for corresponding evaporator temperature of 5°C. COP of
Dezorex DB1-ethanol and Supersorbon HS4-ethanol pair, for the regeneration temperature range of 80-
5
1234567890‘’“”
ICAET-2018 IOP Publishing
IOP Conf. Series: Materials Science and Engineering 414 (2018) 012004 doi:10.1088/1757-899X/414/1/012004
0°C, was about 0.57 and 0.64, respectively. Therefore, these adsorbents could be an option for the
utilization of low-grade waste heat.
Figure 3. P-T-W diagram of (a) Supersorbon HS4-ethanol and (b) Dezorex DB1-ethanol Pairs
4. Conclusions
Adsorption isotherms of two assorted pairs reveal the higher adsorption uptakes for the Dezorex DB1-
ethanol Pair as compared to Supersorbon HS4-ethanol pair. Ideal cycle analysis of adsorption cooling
system of both activated carbon-ethanol pair is led at an evaporator temperature of 5°C and regeneration
temperature of 100°C. It shows a higher specific cooling effect for Supersorbon HS4 is180.1, while
Dezorex DB1 give relatively lower values for SCE of 128.8. Similarly, the coefficient of performance
of Dezorex DB1-ethanol and Supersorbon HS4-ethanol pairs are 0.57 and 0.64, respectively, for the
regeneration temperature ranging from 80°C to 90°C. At an evaporator temperature of 5°C, minimum
desorption temperature was found i.e. 58°C, which proves the applicability of these adsorbents for
thermally driven adsorption cooling systems.
Nomenclature
VCS Vapor compression systems
W Equilibrium adsorption uptake [kg/kg]
W0 Maxium adsorption uptake [kg/kg]
E Chahracteristic energy [kJ/mol]
n Structural heterogenity parameter [-]
A Adsorption potential [kJ/kg]
Ps Saturated pressure of refrigerant for given temperature [kPa]
P Equilibrium pressure [kPa]
T Adsorption temperature [°C]
R Gas constant.[kJ/kg.K]
LH Vaporization enthalpy [kJ/kg]
Cp Specific heat capacity [kJ/kg.K]
Q Heat energy [kJ/kg]
qst Isosteric heat of adsorption [kJ/kg]
SCE Specific cooling effect [kJ/kg]
COP Coefficient of performance [-]
0.1
1
10
-10 10 30 50 70 90
Pressure
[kPa]
Temperature [ C]
1
2 3
4
(a)
0.1
1
10
-10 10 30 50 70 90 110 130
Pressure
[kPa]
Temperature [ C]
1
2 3
4
(b)
6
1234567890‘’“”
ICAET-2018 IOP Publishing
IOP Conf. Series: Materials Science and Engineering 414 (2018) 012004 doi:10.1088/1757-899X/414/1/012004
Subscripts
max Maximum
min Minimum
c Condenser
e Evaporator
ref Refrigerant
ads Adsorption
References
[1] Wang R Z and Oliveira R G 2006 Adsorption refrigeration-an efficient way to make good use of
waste heat and solar energy Prog. Energy. Combust. Sci. 32 424-458
[2] Saha B B, Jribi S, Koyama S and El-Sharkawy I I 2011 Carbon dioxide adsorption isotherms on
activated carbons J. Chem. Eng. Data. 56 1974-81
[3] Jribi S, Miyazaki T, Saha B B, Pal A, Younes M M, Koyama S and Maalej A 2017 Equilibrium
and kinetics of CO2 adsorption onto activated carbon Int. J. Heat. Mass. Transfer.108 1941-6
[4] Tamainot-Telto Z, Metcalf S J, Critoph R E, Zhong Y and Thorpe R 2009 Carbon–ammonia pairs
for adsorption refrigeration applications: ice making, air conditioning and heat pumping Int. J.
Refrig. 32 1212-29
[5] El-Sharkawy I I, Kuwahara K, Saha B B, Koyama S and Ng K C 2006 Experimental investigation
of activated carbon fibers/ethanol pairs for adsorption cooling system application Appl. Therm.
Eng. 26 859-65
[6] Saha B B, Habib K, El-Sharkawy I I and Koyama S 2009 Adsorption characteristics and heat of
adsorption measurements of R-134a on activated carbon Int J. Refrig. 32 1563-9
[7] Chua H T, Ng K C, Chakraborty A, Oo N M and Othman M A 2002 Adsorption characteristics of
silica gel+ water systems J. Chem. Eng. Data. 47 1177-81
[8] Sultan M, Miyazaki T, Saha B B and Koyama S 2016 Steady-state investigation of water vapor
adsorption for thermally driven adsorption based greenhouse air-conditioning system
Renewable. Energy. 86 785-95
[9] Wang D C, Xia Z Z and Wu J Y 2006 Design and performance prediction of a novel zeolite–water
adsorption air conditioner Ener. Convers. Manage. 47 590-610
[10] Saha B B, El-Sharkawy I I, Miyazaki T, Koyama S, Henninger S K, Herbst A and Janiak C 2015
Ethanol adsorption onto metal organic framework: Theory and experiments Energy. 79 363-70
[11] Sultan M, El-Sharkawy I I, Miyazaki T, Saha B B, Koyama S, Maruyama T, Maeda S and
Nakamura T 2015 Insights of water vapor sorption onto polymer based sorbents Adsorpt. 21
205-15
[12] Sultan M, El-Sharkawy I I, Miyazaki T, Saha B B, Koyama S, Maruyama T, Maeda S and
Nakamura T 2016 Water vapor sorption kinetics of polymer based sorbents: Theory and
experiments Appl. Therm. Eng. 106 192-202
[13] Ng K C, Thu K, Kim Y, Chakraborty A and Amy G 2013 Adsorption desalination: an emerging
low-cost thermal desalination method Desalin. 308 161-179
[14] Sah R P, Choudhury B and Das R K 2016 A review on low grade heat powered adsorption cooling
systems for ice production Renewable. Sustainable. Energy. Rev. 62 109-120.
[15] Yu C H, Huang C H and Tan C S 2012 A review of CO2 capture by absorption and
adsorption Aerosol. Air. Qual. Res. 12 745-769
[16] Dubinin M M 1967 Adsorption in micropores 1967 J. Colloid. Interface. Sci. 23 487-499
[17] Besedová E and Bobok D 2003 Adsorption of ethanol on activated carbon. Chem. Pap. 57 27-34
[18] Askalany A A, Salem M, Ismael I M, Ali A H H, Morsy M G and Saha B B 2013 An overview
on adsorption pairs for cooling Renew. Sustain. Energy. Rev. 19 565–572.
[19] El-Sharkawy I I, Hassan M, Saha B B, Koyama S and Nasr M M 2009 Study on adsorption of
methanol onto carbon based adsorbents. Int. J. Refrig. 32 1579-1586

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Investigation_of_carbon_based_adsorbents_for_the_d.pdf

  • 1. IOP Conference Series: Materials Science and Engineering PAPER • OPEN ACCESS Investigation of carbon based adsorbents for the development of thermally-driven adsorption cooling systems To cite this article: Faizan Shabir et al 2018 IOP Conf. Ser.: Mater. Sci. Eng. 414 012004 View the article online for updates and enhancements. This content was downloaded from IP address 178.171.28.223 on 01/11/2020 at 00:01
  • 2. 1 Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Published under licence by IOP Publishing Ltd 1234567890‘’“” ICAET-2018 IOP Publishing IOP Conf. Series: Materials Science and Engineering 414 (2018) 012004 doi:10.1088/1757-899X/414/1/012004 Investigation of carbon based adsorbents for the development of thermally-driven adsorption cooling systems Faizan Shabir1 , Muhammad Sultan1 , Redmond R. Shamshiri2 , Zahid M. Khan1 1 Department of Agricultural Engineering, Bahauddin Zakariya University, Bosan Road, Multan 60800, Pakistan 2 Adaptive Agro-Tech Research Group International, 948 Via Verde, Del Rey oaks, California. 93955. USA Email: muhammadsultan@bzu.edu.pk Abstract. Adsorption cooling systems are considered as energy efficient and sustainable technologies from the perspective of environmental safety and thermal energy utilization. These systems possess zero potentials of ozone depletion and global warming. In adsorption cooling processes, knowledge of adsorbent-refrigerant pairs (e.g. adsorption equilibrium, kinetics and heat) is important. The system performance is directly related to interactions between the adsorbent and refrigerant. Thus, the overall thermodynamic performance of the system can be improved accordingly. In this study, numerous carbon based adsorbents are explored in detail with different types of refrigerants (e.g. ethanol, methanol, CO2, R134A etc.). In order to select the optimum adsorbent-refrigerant pair. The analyses in the study are based on the experimental data on various adsorbent-refrigerant pairs available in the literature. Various adsorption isotherms models including: Dubinin-Astakhov, Tóth, Freundlich etc. present adsorption equilibrium data. Consequently, overall system analyses have been conducted by means of pressure-temperature-adsorption equilibrium (P-T-W) diagram. The P-T-W diagram is also drawn from the ideal cycle analysis in order to explain the performance of adsorption cooling systems. The coefficient of performance of the system has been calculated accordingly for the studied adsorbent-refrigerant pairs. Keyword: adsorption cooling; activated carbon; refrigerant; optimization 1. Introduction Thermally driven adsorption cooling systems are gaining much attention for the reason that, these systems are energy efficient and environmentally friendly. As the driving source of these systems could be solar energy or low grade waste heat [1]. Therefore, have a huge potential for adoption in those regions where there are more number of solar hours per year. Cooling load can be reduced in summer by utilizing adsorption cooling systems, where the vapor compression systems (VCS) cost a huge amount of energy. Also, thermally driven systems cause less deterioration of the ecosystem. As the refrigerant, they utilize (water, ethanol, CO2 and HFCs etc.) gives a low threat for ozone depletion in contrast to the conventional refrigerants (CFCs) of VCS. Adsorbent-refrigerant pairs for the development of adsorption cooling systems are studied experimentally by many researchers. Some of them are activated carbon-CO2 [2-3], activated carbon-ammonia [4], activated carbon fiber-ethanol [5], activated carbon-R134a [6], Silica gel-water [7-8], Zeolite-water [9], MOF-ethanol [10] and polymer- water [11-12]. Apart of cooling adsorption system can be utilized for other applications like water desalination [13], carbon capturing [14] and ice production [15] etc. In this study, two carbon based adsorbent-ethanol pairs (Supersorbon HS4-ethanol and Dezorex DB1-ethanol) are selected in order to analyze their potential for the development of adsorption cooling system. Thermodynamic performance of cooling cycle is evaluated through the ideal cycle analysis. Hence Specific cooling energy (SCE) and coefficient of performance (COP) are evaluated for both assorted pairs.
  • 3. 2 1234567890‘’“” ICAET-2018 IOP Publishing IOP Conf. Series: Materials Science and Engineering 414 (2018) 012004 doi:10.1088/1757-899X/414/1/012004 2. Working of adsorption cooling system A typical adsorption cooling system which clearly indicates that these systems are like vapor compression cooling system (VCS) except the compressor part is presented in Figure 1. In vapor compression systems, the compressor is electric driven, thus incurs high input cost for cooling and air conditioning. While in adsorption cooling system prime mover is the thermal compressor, therefore, the system economics are totally depending on low-cost thermal energy source. Thermal compressor usually consists of two beds packed with adsorbent material named as (i) adsorption bed and (ii) desorption bed. In adsorption cooling cycle, low-pressure refrigerant from the evaporator enters the adsorption bed, where the refrigerant gets adsorbed on to the adsorbent at a pressure equal to evaporator pressure. The exothermic nature of adsorption process causes adsorbent to release heat during the adsorption process. The heat of adsorption is removed by cooling water cycle around the adsorption bed. When the adsorbent becomes fully saturated with refrigerant the bed is switched to desorption mode by heating bed through the hot water cycle. At the end of desorption process, high-temperature and high-pressure refrigerant vapors will move toward the condenser. In the condenser, the temperature of refrigerant gets reduced by exchanging the heat through cooling water cycle. Also, the change in phase will occur, vapor refrigerant will be converted into liquid refrigerant. Hereafter it will pass through an expansion valve, where the drop-in pressure gives low pressure and low-temperature liquid refrigerant. That low-pressure refrigerant offers the required cooling effect, which will exchange by the evaporator and converted into the vapor phase. For continuous operation of adsorption cooling system, the adsorption and desorption beds are switched, after a specified switching time, by changing the cooling and heating water supplies through the valve accordingly. Figure 1. Schematic of a typical adsorption cooling system. 3. Thermodynamic evaluation of adsorption cooling cycle Adsorption isotherms of the two assorted pairs Supersorbon HS4-ethanol and Dezorex DB1-ethanol are reproduced by using Dubinin–Astakhov (D–A) adsorption equilibrium model (Eq.1) [16]. Values of adsorption isotherm parameters are listed in. The equation of the D-A isotherm model is given as: Evaporator Chilled water out Chilled water in Cooling water in Cooling water out Condenser Expansion valve Cooling water in Cooling water out Hot water out Hot water in Adsorption Bed Desorption Bed
  • 4. 3 1234567890‘’“” ICAET-2018 IOP Publishing IOP Conf. Series: Materials Science and Engineering 414 (2018) 012004 doi:10.1088/1757-899X/414/1/012004 𝑊 = 𝑊0 exp {− ( 𝐴 𝐸 ) 𝑛 } (1) Where W, W0, E, n and A are the equilibrium adsorption uptake, maximum adsorption uptake, Characteristic energy, structural heterogeneity parameter and adsorption potential, respectively. Adsorption potential of the absorbent-refrigerant pair can be evaluated as: 𝐴 = 𝑅𝑇 ln ( 𝑃𝑠 𝑃 ) (2) Where Ps denotes the saturated pressure of refrigerant for a given temperature, P is the equilibrium pressure, T is the adsorption temperature and R is the gas constant. Table 1. D-A adsorption isotherm model parameters Adsorption isotherms are outlined for different adsorption temperatures from 20-100°C with the difference of 10°C. The ideal adsorption Cooling cycle is traced along with these isotherms in Figure 2 for (a) Supersorbon HS4-ethanol and (b) Dezorex DB1-ethanol. The operating conditions for the ideal cycle are fixed at a regeneration temperature of 100°C. While evaporator and adsorption temperatures are set at 5°C and 30°C respectively. Figure 2. Ethanol adsorption isotherms produced by D-A adsorption isotherm model for: (a) Supersorbon HS4, and (b) Dezorex DB1, reproduced from [17]. Performance of ideal cooling cycle can also be evaluated by dühring diagram or pressure- temperature-concentration (P-T-W) diagram. P-T-W diagram of adsorbent-refrigerant pair expresses a thermodynamic relation between equilibrium pressure, adsorbent temperature and equilibrium adsorbed concentration of refrigerant. Isosteric lines in the P-T-W lines are produced by simplifying the D-A isotherm equation (Eq.1) in the following equations; ln ( 𝑊 𝑊0 ) = − ( 𝐴 𝐸 ) 𝑛 (3) 𝐴 = 𝐸 (− ln ( 𝑊 𝑊0 )) 1 𝑛 (4) 0 0.1 0.2 0.3 0.4 0 5 10 15 20 25 W [kg/kg] Pressure [kPa] 2 1 3 4 (a) Tads [ C] 10 20 30 40 50 60 70 80 90 100 0 0.1 0.2 0.3 0.4 0.5 0 5 10 15 20 25 W [kg/kg] Pressure [kPa] 2 1 3 4 (b) Tads [ C] 10 20 30 40 50 60 70 80 90 100 Adsorbent-Refrigerant Pair D-A model Parameters Reference W0 [cm3 /kg] E [kJ/mol] n Supersorbon HS4-ethanol 426 8 2.4 [17] Dezorex DB1-ethanol 508 7.8 1.2 [17]
  • 5. 4 1234567890‘’“” ICAET-2018 IOP Publishing IOP Conf. Series: Materials Science and Engineering 414 (2018) 012004 doi:10.1088/1757-899X/414/1/012004 𝑅𝑇 ln ( 𝑃𝑠 𝑃 ) = 𝐸 (− ln ( 𝑊 𝑊0 )) 1 𝑛 (5) 𝑃 = 𝑃𝑠 exp [ 𝐸 𝑅𝑇 (− ln ( 𝑊 𝑊0 )) 1 𝑛 ] ⁄ (6) The adsorption cooling cycle consists of four consecutive processes 1-2 an isosteric heating process (pre-heating), 2-3 isobaric heating (desorption), 3-4 isosteric cooling process (precooling) and 4-1 isobaric cooling process (adsorption) Figure 3 [18]. P-T-W diagram of Supersorbon HS4-ethanol and Dezorex DB1-ethanol are shown in Figure 3 (a) and (b), respectively. The ideal cycle of both pairs is constructed for regeneration, evaporator and condenser temperatures of 100°C, 5°C and 30°C, respectively. To evaluate the performance of ideal cycle a thermodynamic model was employed, which is time independent [19]. Thus SCE can be defined as: 𝑆𝐶𝐸 = (𝑊 𝑚𝑎𝑥 − 𝑊𝑚𝑖𝑛) [𝐿𝐻𝑇𝑒 − ∫ 𝐶𝑃𝑟𝑒𝑓 𝑑𝑇 𝑇𝑐 𝑇𝑒 ] (7) Whereby Wmax is the maximum uptake of refrigerant evaluated for evaporation pressure and adsorption temperature and Wmin is minimum uptake measured corresponding to the desorption temperature and condenser pressure. LHTe is the vaporization enthalpy at evaporator temperature and 𝐶𝑃𝑟𝑒𝑓 shows the specific heat capacity of refrigerant. Heat added to the adsorbent for the increase in temperature from T1 and T3. is given as: 𝑄𝑎𝑑𝑠 = ∫ 𝐶𝑃𝑎𝑑𝑠 𝑑𝑇 𝑇3 𝑇1 (8) Where 𝐶𝑃𝑎𝑑𝑠 is the specific heat capacity of adsorbent. Heat added to the refrigerant is given by: 𝑄𝑟𝑒𝑓 = 𝑊 𝑚𝑎𝑥 ∫ 𝐶𝑃𝑟𝑒𝑓 𝑑𝑇 𝑇2 𝑇1 + ∫ 𝑊. 𝐶𝑃𝑟𝑒𝑓 𝑑𝑇 + ∫ 𝑞𝑠𝑡 𝑑𝑊 𝑊𝑚𝑎𝑥 𝑊𝑚𝑖𝑛 𝑇3 𝑇2 (9) In Eq. (9), the first and second terms are sensible heats added to the refrigerant during pre- heating and desorption processes, respectively. Whilst third term is the heat of adsorption. Here the average values of qst for Supersorbon HS4-ethanol and Dezorex DB1 ethanol Pairs are used 1126.05 kJ/kg and 1038.68 kJ/kg, respectively [17]. Thus, COP of the cycle can be described as: 𝐶𝑂𝑃 = 𝑆𝐶𝐸 𝑄𝑎𝑑𝑠+𝑄𝑟𝑒𝑓 (10) SCE and COP as a function of desorption temperature are found to increase with the increase in desorption temperature. SCP reach the maximum value of 180.1 and 128.8 kJ/kg for Supersorbon HS4- ethanol and Dezorex DB1-ethanol Pairs, respectively, at a regeneration temperature of 100°C. Minimum desorption temperature was found to be 58°C for corresponding evaporator temperature of 5°C. COP of Dezorex DB1-ethanol and Supersorbon HS4-ethanol pair, for the regeneration temperature range of 80-
  • 6. 5 1234567890‘’“” ICAET-2018 IOP Publishing IOP Conf. Series: Materials Science and Engineering 414 (2018) 012004 doi:10.1088/1757-899X/414/1/012004 0°C, was about 0.57 and 0.64, respectively. Therefore, these adsorbents could be an option for the utilization of low-grade waste heat. Figure 3. P-T-W diagram of (a) Supersorbon HS4-ethanol and (b) Dezorex DB1-ethanol Pairs 4. Conclusions Adsorption isotherms of two assorted pairs reveal the higher adsorption uptakes for the Dezorex DB1- ethanol Pair as compared to Supersorbon HS4-ethanol pair. Ideal cycle analysis of adsorption cooling system of both activated carbon-ethanol pair is led at an evaporator temperature of 5°C and regeneration temperature of 100°C. It shows a higher specific cooling effect for Supersorbon HS4 is180.1, while Dezorex DB1 give relatively lower values for SCE of 128.8. Similarly, the coefficient of performance of Dezorex DB1-ethanol and Supersorbon HS4-ethanol pairs are 0.57 and 0.64, respectively, for the regeneration temperature ranging from 80°C to 90°C. At an evaporator temperature of 5°C, minimum desorption temperature was found i.e. 58°C, which proves the applicability of these adsorbents for thermally driven adsorption cooling systems. Nomenclature VCS Vapor compression systems W Equilibrium adsorption uptake [kg/kg] W0 Maxium adsorption uptake [kg/kg] E Chahracteristic energy [kJ/mol] n Structural heterogenity parameter [-] A Adsorption potential [kJ/kg] Ps Saturated pressure of refrigerant for given temperature [kPa] P Equilibrium pressure [kPa] T Adsorption temperature [°C] R Gas constant.[kJ/kg.K] LH Vaporization enthalpy [kJ/kg] Cp Specific heat capacity [kJ/kg.K] Q Heat energy [kJ/kg] qst Isosteric heat of adsorption [kJ/kg] SCE Specific cooling effect [kJ/kg] COP Coefficient of performance [-] 0.1 1 10 -10 10 30 50 70 90 Pressure [kPa] Temperature [ C] 1 2 3 4 (a) 0.1 1 10 -10 10 30 50 70 90 110 130 Pressure [kPa] Temperature [ C] 1 2 3 4 (b)
  • 7. 6 1234567890‘’“” ICAET-2018 IOP Publishing IOP Conf. Series: Materials Science and Engineering 414 (2018) 012004 doi:10.1088/1757-899X/414/1/012004 Subscripts max Maximum min Minimum c Condenser e Evaporator ref Refrigerant ads Adsorption References [1] Wang R Z and Oliveira R G 2006 Adsorption refrigeration-an efficient way to make good use of waste heat and solar energy Prog. Energy. Combust. Sci. 32 424-458 [2] Saha B B, Jribi S, Koyama S and El-Sharkawy I I 2011 Carbon dioxide adsorption isotherms on activated carbons J. Chem. Eng. Data. 56 1974-81 [3] Jribi S, Miyazaki T, Saha B B, Pal A, Younes M M, Koyama S and Maalej A 2017 Equilibrium and kinetics of CO2 adsorption onto activated carbon Int. J. Heat. Mass. Transfer.108 1941-6 [4] Tamainot-Telto Z, Metcalf S J, Critoph R E, Zhong Y and Thorpe R 2009 Carbon–ammonia pairs for adsorption refrigeration applications: ice making, air conditioning and heat pumping Int. J. Refrig. 32 1212-29 [5] El-Sharkawy I I, Kuwahara K, Saha B B, Koyama S and Ng K C 2006 Experimental investigation of activated carbon fibers/ethanol pairs for adsorption cooling system application Appl. Therm. Eng. 26 859-65 [6] Saha B B, Habib K, El-Sharkawy I I and Koyama S 2009 Adsorption characteristics and heat of adsorption measurements of R-134a on activated carbon Int J. Refrig. 32 1563-9 [7] Chua H T, Ng K C, Chakraborty A, Oo N M and Othman M A 2002 Adsorption characteristics of silica gel+ water systems J. Chem. Eng. Data. 47 1177-81 [8] Sultan M, Miyazaki T, Saha B B and Koyama S 2016 Steady-state investigation of water vapor adsorption for thermally driven adsorption based greenhouse air-conditioning system Renewable. Energy. 86 785-95 [9] Wang D C, Xia Z Z and Wu J Y 2006 Design and performance prediction of a novel zeolite–water adsorption air conditioner Ener. Convers. Manage. 47 590-610 [10] Saha B B, El-Sharkawy I I, Miyazaki T, Koyama S, Henninger S K, Herbst A and Janiak C 2015 Ethanol adsorption onto metal organic framework: Theory and experiments Energy. 79 363-70 [11] Sultan M, El-Sharkawy I I, Miyazaki T, Saha B B, Koyama S, Maruyama T, Maeda S and Nakamura T 2015 Insights of water vapor sorption onto polymer based sorbents Adsorpt. 21 205-15 [12] Sultan M, El-Sharkawy I I, Miyazaki T, Saha B B, Koyama S, Maruyama T, Maeda S and Nakamura T 2016 Water vapor sorption kinetics of polymer based sorbents: Theory and experiments Appl. Therm. Eng. 106 192-202 [13] Ng K C, Thu K, Kim Y, Chakraborty A and Amy G 2013 Adsorption desalination: an emerging low-cost thermal desalination method Desalin. 308 161-179 [14] Sah R P, Choudhury B and Das R K 2016 A review on low grade heat powered adsorption cooling systems for ice production Renewable. Sustainable. Energy. Rev. 62 109-120. [15] Yu C H, Huang C H and Tan C S 2012 A review of CO2 capture by absorption and adsorption Aerosol. Air. Qual. Res. 12 745-769 [16] Dubinin M M 1967 Adsorption in micropores 1967 J. Colloid. Interface. Sci. 23 487-499 [17] Besedová E and Bobok D 2003 Adsorption of ethanol on activated carbon. Chem. Pap. 57 27-34 [18] Askalany A A, Salem M, Ismael I M, Ali A H H, Morsy M G and Saha B B 2013 An overview on adsorption pairs for cooling Renew. Sustain. Energy. Rev. 19 565–572. [19] El-Sharkawy I I, Hassan M, Saha B B, Koyama S and Nasr M M 2009 Study on adsorption of methanol onto carbon based adsorbents. Int. J. Refrig. 32 1579-1586