improving thermal performance of a solar thermal
TRANSCRIPT
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Improving thermal performance of a solar thermal/desalination combisystem
using nanofluid-based direct absorption solar collector
Maryam Karami1,*, Seyedeh Somayeh Nasiri Gahraz2
1Department of Mechanical Engineering, Faculty of Engineering, Kharazmi University, Mofatteh
Avenue, P.O. Box 15719-14911, Tehran, Iran, Tel.:+982634579600,
2Graudate, Department of Mechanical Engineering, Faculty of Engineering, Kharazmi
University, Mofatteh Avenue, P.O. Box 15719-14911, Tehran, Iran,
Abstract
Depletion of freshwater resources and reduction of rainfall in arid areas causes water scarcity,
which is intensified by population and urbanization growth. In this study, a small-scale solar
thermal/desalination combisystem using nanofluid-based direct absorption solar collectors and
humidification-dehumidification desalination unit is proposed to supply domestic hot water,
space heating, and freshwater demands of a residential building. The dynamic simulation of the
system performance in the Hot-Dry climate zone is done using TRNSYS-MATLAB co-
simulator. The results indicate that using the proposed combisystem reduces 94.3% and 17% of
annual energy consumption for providing domestic hot water and space heating demands,
respectively. The freshwater demand is supplied in the range of 11.3% to 100%. In the case of
using a flat plate solar collector, the solar fraction for domestic hot water and space heating
demands in comparison with nanofluid-based direct absorption solar collectors reduces by 3.7%
* Corresponding Author
Email: [email protected]
Tel.: 02634579600
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and 1.7%, respectively. Furthermore, the produced freshwater reduces 18% on average. The
payback time using nanofluid-based direct absorption and flat plate solar collectors are 6.4 and
7.8 years, respectively.
Key words: Solar combisystem; Direct absorption Solar collector; Nanofluid; Humidification-
Dehumidification desalination unit; Hot-Dry climate; Economic analysis
1 Introduction
The significant advantages of renewable energies over fossil fuels, such as reducing CO2 emissions
and some other types of air pollution, decreasing dependence on imported fuels, and creating
economic development cause the worldwide tendency to provide the energy demand from
renewable energy sources. Among the various renewable technologies, Solar Combisystem (SCS),
which supplies both domestic hot water (DHW) and space heating (SH) loads of the buildings,
play a key role in reducing building energy consumption Therefore, scholars have recently been
motivated to investigate the thermal performance of the SCSs. For instance, Mehdaoui et al. [1]
simulated the dynamic performance of an SCS in Tunisia with TRNSYS software. The results
revealed that the temperature difference between the different rooms is 9â and 7â using the floor
heating with one and two active layers, respectively. Using similar software, Hazami et al. [2]
studied the SCS performance in Tunisian weather conditions. Their results presented that the SCS
provides 20% to 40% of the energy required for SH and 40% to 70% of the energy required for
DHW. Rey and Zmeureanu [3] optimized the selection of configuration and equipment sizing of
solar combisystems and reported that the proposed micro-time variant multi-objective particle
swarm optimization method is a non-dominated solution to decrease the life cycle cost by 29%
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and to increase the life cycle energy use by 72% compared with the initial design solution.
Katsaprakakis and Zidianakis [4] analyzed the performance of an SCS for a school building in
Crete by optimization of dimensioning and operation automation. It is found that the annual solar
fraction of the proposed system is higher than 45%. Karami et al. [5] investigated the effect of the
climatic conditions on the thermal performance of an SCS using a floor heating system. They
found that the annual solar fraction in Hot-Dry, Cold-Dry, Moderate-Humid, Hot-semi-Humid,
and Hot-Humid is 74%, 61%, 47.8%, 87.9%, and 92% respectively. Englmair et al. [6] investigated
the effect of using four PCM units each containing 200 kg sodium acetate trihydrate (SAT)
composite in a water storage tank of the SCS performance. Their results showed that during heat
transfer from PCM units to the storage tank, flow temperatures were close to the PCM temperature
at the thermal power of up to 6 kW. The performance of an off-grid solar combisystem using PCM
heat storage is investigated by Kannan et al. [7]. It is concluded that the average energy saving
ratio and energy saving for space heating was about 93% and 2.8 đđâ, respectively. Thapa et al.
[8] designed and optimized an SCS for typical single-family houses in Nepal. The results showed
that the optimum collector area and tank volumes are 6 m2 and 130 lit for Terai region ad 14 m2
and 150- 170 lit for Hilli region, respectively. Meister and Beausoleil-Morrison [9] evaluated a
building-scale SCS with a seasonal storage tank using a two-story research house in Ottawa,
Canada as a case study. Because of using a 36 m3 buried water tank, 100% and 86% of the energy
required for SH and DHW are provided by the SCS, respectively.
Another application of solar energy is the desalination of saline water using direct heat from the
sun so that the maximum share of 51% of worldwide renewable desalination capacity [10]. Solar
desalination systems are widely used in areas with higher solar irradiance, where more water
scarcity is expected. In recent years, some studies on the performance of the solar
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thermal/desalination combisystems have been conducted. Asim et al. [11] analyzed the
combisystem performance for producing daily DHW demand of 250 lit and daily freshwater
demand of 15-25 lit of a house. Using membrane desalination (MD) with air gap method, 16 lit
freshwater, and 273 lit DHW were produced using flat plate solar collector (FPSC) with 11.85 đ2
area. They also reported that the optimum aperture areas for flat plate and evacuated tube collectors
are 8.5 and 7.5 m2, respectively [12]. In another similar study, Asim [13] also found that 41.3%
and 18% of total solar yield (31.3 kWh) are used for the distilled water (DW) (0.804 kWh L ) and
DHW production, respectively. By the dynamic analysis of a solar polygeneration system using
TRNSYS, Calise et al. [14] compared the seawater desalination performance of the system using
linear Fresnel (LFR) and evacuated solar collectors (ETC). They reported that the solar fraction
for freshwater production varies from 15% to 20% by using ETC, while it is zero by using ETC in
some winter weeks. In the next study, they found that a polygeneration system including MED
subsystem produces 59% of the freshwater demand of Favignana, which is a small Mediterranean
island [15]. Kumar and Martin [16] investigated the DW and DHW production using a novel
combisystem in the UAE. They pointed out that the maximum DW production by the standalone
distillation system is 4.5 đđ ââ which is 36% more than that by the combisystem (3.1 kg h ).
One of the desalination methods which can produce the DW using solar thermal energy is the
humidification-dehumidification (HDH) method. This method is based on the fact that air has
capable of carrying a significant amount of water vapor. When air comes into contact with saline
water, some water is vaporized and absorbed by the air. This steam can be distilled and recycled
by passing from cold surfaces to produce DW By proposing an innovative air saturator, Tariq et
al. [17] reported that 30% higher freshwater is produced as compared to conventional HDH
system. Experimental and thermodynamic analysis of a solar-assisted vacuum HDH desalination
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plant, done by Rahimi-Ahar et al. [18], showed that the maximum desalination rate of 1200
mL/h.m2 is obtained at the best water to air mass flow rate ratio and minimum humidifier pressure.
Zhao et al. [19] used 42 2m parabolic trough collectors (PTC) as the energy source of a four-stage
cross flow HDH with direct contact dehumidifier. The results indicated that the proposed system
has a higher water yield per unit volume (34.1 3( )kg m h ) and lower pure water yield cost (3.86
$/đĄđđ) in comparison with conventional HDHs. In an interesting experimental study,
Rajaseenivasan and Srithar [20] integrated the HDH system with a dual-purpose solar collector to
heat both water and air during the distillation process. It is found that the maximum DW of 15.23,
14.14, and 12.36 đđ/đ2. đ is produced for the concave, convex, and conventional systems,
respectively. Gabrielli et al. [21] investigated the performance of the HDH system using
photovoltaic-thermal (PVT) systems. They concluded that the DW production is maximized at the
highest possible saline water flow rate depending on the PVT configuration and ambient
conditions.
The literature review illuminates that the thermal performance of solar thermal/desalination
combisystems has not been yet assessed using a nanofluid-based direct absorption solar collector
(NDASC) [22]. Besides, the performance of the solar thermal/desalination combisystems using an
HDH desalination system for small residential buildings has not been investigated. Therefore, the
main research objective of this paper is to investigate the feasibility and efficiency of integrating
the HDH desalination system with an SCS for a small-scale DW production using an NDASC as
a solar collector. The thermal performance of the proposed combisystem is evaluated using the
TRNSYS dynamic simulation software. Furthermore, the economic analysis of the proposed
HDH-SCS is performed using the life cycle cost (LCC) method.
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2 System descriptions
In this paper, the thermal performance of an HDH-SCS, which supplies the DHW, SH, and
freshwater demands of a single-floor house with an area of 2100 m , as a case study building, is
investigated. The house is located in Hot and Dry climate zone (Tehran city of Iran with the latitude
of 35.68 and the longitude of 51.4 ). Table 1 shows the characteristics of the case study building.
In Figure 1, the schematic of the HDH-SCS is illustrated. The temperature of the working fluid of
the solar cycle, which is water or nanofluid, increases passing through the NDASC or FPSC and
enters the flow diverter 1 (FD1). The part of the collector working fluid, which is required for
DHW supply, goes to the DHW tank. The rest of the collector working fluid enters FD2 and then,
in cold months, enters the SH tank and transfers its heat to the tank water. The heated water goes
to the auxiliary boiler as preheated water, which heats to the desired set-point temperature. In warm
months, when there is no need to SH, the collector working fluid from FD2 enters the DW tank
and heats the outlet saline water from the dehumidifier (DHUM). The hot saline water enters the
humidifier (HUM) and is sprayed into the passing air, which results in increasing the air
temperature and humidity. The hot and humid air enters DHUM, where the water vapor in the air
condenses due to the indirect contact by the inlet saline water and the DW produces. The outlet
working fluid from the DW and SH tanks enters the mixing valve 1 (MV1), and after mixing by
the outlet working fluid from the DHW tank in MV2, goes to the solar loop to repeat the cycle.
2-2 System dynamic modeling
In this paper, the dynamic simulation of the HDH-SCS is performed using TRNSYS, which is a
transient software for simulating energy systems on a timely basis and comprises a large library of
built-in components and open-source models. By TRNSYS modeling of the system, the dynamic
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computation and integration of the output data such as power, mass flows, temperature, etc. for
each system component, is attainable. Figure 2 shows the TSNSYS modeling of the HDH-SCS. In
the model, various types have been selected for simulating the behavior of the system components.
Type 109 was used to read weather data from the Typical Meteorological Year (TMY) files and
calculates the solar radiation in different directions. Psychometric properties such as dew point,
relative humidity, etc. are calculated by Type 33. The FPSC was modeled using Type 1b, which
is a quadratic efficiency model with incidence angle modification. Since there is no component for
the NDASC in the standard component library of TRNSYS; therefore, a new component is created
by developing a code using MATLAB-R2015b, and then, Type 155 is used for linking the
MATLAB code to the TRNSYS simulation program.
Types 4 and 3b was used to model the storage tanks and pumps. The volume of the DHW, SH,
and DW storage tanks are 300 l, 800 l, and 200 l, respectively. For simulating the auxiliary boiler
with the power of 15 kW and the efficiency of 78%, Type 700 is used. Type 14b is used to simulate
the daily DHW demand, of which profile is shown in Figure 3 [23]. Other TRNSYS components
used in the simulation are Type 11 and Type 11h which simulate the flow diverter and mixing
valve, respectively. System controllers (Type 2b) are used to control the flow rate of the collectors
and the storage tanks. In addition to the NDASC, there is also no type for the HDH desalination
system in TRNSYS; therefore, it is modeled by MATLAB and connected to TRNSYS using Type
155.
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Using the results of the simulation, the performance indicators of the HDH-SCS can be
determined. The DHW solar fraction (SFDHW) and SH solar fraction (SFSH) is defined as the ratio
of energy supplied by solar energy to the required energy, given by the following relations:
,
,
1
aux DHW
DHW
DHW demand
QSF
Q= â (1)
,
,
1
aux SH
SH
SH demand
QSF
Q= â (2)
2-2-1 NDASC modeling
In NADSC, solar radiation is absorbed through the nanofluid as the working fluid, whereas in
conventional collectors, a surface absorber absorbs the solar radiation indirectly. The schematic of
the NDASC, which has an aperture area of 2 1 m m and a channel height of 1 cm, is presented in
Figure 4.
The collector useful heat gain ( uQ ), which is used for supplying the required thermal energy of the
proposed system, is calculated using the following relation:
(3) ( ),u nf p nf out inQ m c T T= â
Where nfm and ,p nfc are the mass flowrate and the heat capacity of diamond nanofluid.
To calculate the useful energy gain, the collector outlet temperatures should be calculated by
solving the conservation equations governing the performance of the NDASC. It should be noted
that the back and walls of the collector are considered the adiabatic boundary condition. The
nanoparticles are stably suspended in the base fluid and because of the surface-to-volume ratio of
the nanoparticles; they have the same temperature as the base fluid [24].
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By considering the above assumptions, the mass, momentum and energy conservation equations
for two-dimensional, steady-state, incompressible flow inside the collector are given as [25]:
(4) 0u v
x y
+ =
(5)
2 2
2 2
u u P u uu v
x y x x y
+ = â + +
(6)
2 2
2 2
v v P v vu v
x y y x y
+ = â + +
(7) .P r
T T T Tc u v k k q
x y x x y y
+ = + â
where đđ is a radiative source term, which takes into accounts the solar absorption by the nanofluid
[26].
The volumetric hear transfer due to radiation, which is the last term on the right hand side of Eq.
(7), is given by [26]:
(8) ( ) ( ) ( )4
0
1. 4 , , ,
4i
r a b iq y K I y I y d d
=
= â
where is the wavelength, aK is the spectral absorption coefficient, and bi is the blackbody
intensity given by the Planck function. It is assumed that the radiation intensity variation occurs
in one dimension along the y-direction; therefore, the spectral intensity (đ) is obtained by
solving the Radiative Transfer Equation (RTE):
(9) ( ) ( ) ( ) ( ) ( )4
0
, ,4
i
sa s a b i i i
dI KK K I y K I y I y d
dy
=
= â + + +
where sK is the spectral scattering coefficient. and are the scattering phase function and
the spatial angle, respectively. The sum of absorption and scattering coefficients is called
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spectral extinction coefficient ( eK ). The scattering coefficient ( sK ) can be ignored at the
nanometer scale according to Rayleigh scattering [26]. Regarding the assumptions, the intensity
distribution within the solar collector is obtained using:
(10) ( ) ( )a a b
dIK I y K I y
dy
= â +
The emitted radiation can be determined with the Planck's blackbody relation given in Eq. (14)
[27]:
(11) ( )( )
2
5
2, ,
1
b
B
hcI T x y
hcexp
k T
=
â
where h, Bk , and c are Planckâs constant, Boltzmannâs constant, and the speed of light in a
medium, respectively.
By solving Eqs. (4) to (7) using the following boundary conditions, the pressure, velocity, and
temperature distributions in the collector are obtained:
(12) ( ) ( )0, 0 0, , 0,in inx y H T y T u y U= â = =
(13) ( ) ( ),
0
0, 0 1 g T amb g
y
Ty x k G h T T
y
=
= â â = â â â
(14) , 0 0y H
Ty H x
y=
= â =
where h is the combined convection and radiation heat transfer coefficient of the glass upper
surface. inT , inU , and TG are the constant temperature and velocity of the inlet fluid, and the solar
incident radiation on the tilted collector, respectively. In this study, the collector is mounted by the
tilt angle of Tehran latitude to receive maximum solar energy [26]. gT and 90%g = are the
temperature and transmissivity of the glass, respectively.
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In this study, the full implicit finite difference method is used to solve the governing equations
along with boundary conditions. First, the two-dimensional mass and momentum equations are
solved using the SIMPLE method to determine the velocity distribution in the collector [28]. Then,
the energy equation is solved using the velocity distribution. Since the RTE and the energy
equation are coupled because of the emission term; an iterative solution method is used so that the
blackbody emission term in Eq. (14) is calculated by guessing the temperature profile. Then, Eq.
(13) is solved to obtain the intensity distribution, which is used in the energy equation to determine
the temperature profile. If the new calculated temperatures have a little difference with the initial
guess of the temperature profile, the solution is converged; otherwise, the new temperature profile
is used to update the blackbody emission term and the solution is repeated to achieve convergence.
To validate the results of the NDASC model, the measured and calculated efficiency of the
NDASC are compared. As can be seen in Figure 5, the experimental and numerical results were
in good agreement by the maximum error of 4% [29].
2-2-1-1 Nanofluid preparation and optical properties
In this study, the diamond nanoparticle (diameter of 10 nm and an average purity of 98.3%),
produced by Luoyang Tongrun Ino technology, in a water suspension with a concentration of
0.001 wt% is selected as the working fluid of NDASC. The nanofluid preparation method is the
two-step method, in which diamond nanoparticles are first dispersed in deionized water (the base
fluid) to form the nanodiamondâwater nanofluid and then, an ultrasonic processor (UP400S) was
utilized to stirring the suspension. After sonicating the suspension for 15 minutes, Gum Arabic
(GA) surfactant is added to it, to enhance the nanofluid stability, and the sonication process is
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continued for 30 more minutes. More details about the nanofluid materials and preparation can
be found in Ref. [29].
The transmittance and extinction coefficient of the prepared nanofluid were experimentally
determined using UVâVisâNIR spectrophotometer (Cary5, Varian Inc., USA) and shown in
Figure 5. The extinction coefficient of the nanofluid is calculated using BeerâLambert law (
( ) eK HT e â
= ), in which ( )T is the nanofluid transmittance and H is the length of the light
passing through the sample. It is assumed that the no incident radiation collector reaches the
bottom surface, because the transmittance of the nanofluid is nearly zero, as shown in Figure 6.
It should be noted that, the thermophysical properties of the nanofluid are considered as the base
fluid, because of the very low concentration of the nanofluid [29].
2-2-2 HDH modeling
Figure 7 shows the components of a closed air open water (CAOW) HDH desalination system,
which is used in this paper, for producing DW. For modeling the HDH performance, the mass
and energy conservation equations are written as follows:
Dehumidifer [30]:
( ),2 ,1pw a a am m = â (15)
( ) ( ),1 ,0 ,2 ,1w w w pw pw a a am h h m h m h hâ + = â (16)
Humidifier [30]:
( ),2 1,w a a a bm m m â â = (17)
( ),1 ,2 ,3 ,2a a a b w w wm h h m h m hâ = â (18)
It is assumed that the humidifier and dehumidifier are insulated.
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The heat transfer from the collector to the fluid is obtained by using the following equation:
( ), ,2 ,1 heater w p w w wQ m c T T= â (19)
In this paper, the enthalpy and relative humidity of the air are calculated as a function of the air
flow temperature using the following relations [31]:
3 20.005853 0.497 19.87 207.61h T T T= â + â (20)
6 3 4 2 32.19 10 1.85 10 7.06 10 0.077T T T â â â= â + â (21)
There are five unknowns ( a,1 a,2 w,1 w,2 w,3T ,T , T ,T ,T ) in the Eqs. (16), (18), and (19); therefore, for
solving the equations, the effectiveness of the heat exchanger can be used as the supplementary
equations and are defined as [30]:
max
HÎľ
H
=
(22)
where H is the enthalpy changes of cold or hot fluid and maxH indicates the maximum enthalpy
change that the fluid can achieve it.
Since the humidifier and the dehumidifier act as a heat exchanger, the following relations can be
used for calculating the effectiveness the humidifier and the dehumidifier, respectively:
, , , ,
, , , , , ,
,a out a in w in w out
H
a out ideal a in w in w out ideal
h h h hmax
h h h h
â â= â â
(23)
, , , ,
, , , , , ,
,a in a out w in w out
D
a in a out ideal w in w out ideal
h h h hmax
h h h h
â â= â â
(24)
The equations are solved using the iterative solution method with the inputs including the inlet
water temperature, the air temperature, the water flow rate, the air flow rate, the inlet heat rate. It
is assumed that there is no temperature difference between the inlet and outlet flows of the
chamber for calculating the ideal enthalpy difference. In other words, , , ,in w a out idealT T= and
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, , ,in a w out idealT T= . It is also assumed that the outlet water temperature from the humidifier is the
average of inlet and outlet air temperatures and the air at the outlet of the humidifier is saturated.
Figure 8 shows the flowchart of the HDH modeling process.
The comparison of the results of the HDH model is shown in Figure 9, in which the measured
and calculated gained output ratio (GOR) of the HDH are compared in different saline water
inlet temperatures. The GOR is defined as:
(25) .fw fg
in
m hGOR
Q=
where fwm , fgh , and inQ are the freshwater mass flow rate, the evaporation enthalpy, and the
inlet thermal power to the HDH, respectively. As can be seen in Figure 9, the experimental and
numerical results were in good agreement by the maximum error of 7% [30].
3 Results and discussion
Figure 10 reveals the monthly average solar radiation and ambient temperature in Tehran. As
observed, the maximum ambient temperature is 30.9â in July and its minimum is 2.46â in
January. The maximum solar radiation is about 730 2W m in August.
In Figure 11, the monthly variation of the DHW energy demand, supplied, auxiliary energy
demand, and SFDHW is plotted. Looking at Figure 9 (a), it is revealed that, by using FPSC, the
SFDHW is more than 90% from May to October. From November to April, the SFDHW varies
between 75% and 88.5%. It is interesting to note that the auxiliary energy is required in all months,
even in months like July, August, and September, in which the supplied energy is higher than the
required energy. This is because of the reduction of storage tank temperature on nights or cloudy
days.
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As can be seen in Figure 11 (b), the system SFDHW increases using NDASC instead of FPSC due
to higher solar energy absorption; so that the SFDHW of 100% is obtained from June to
September. The maximum and minimum enhancement of SFDHW is obtained in January and
August, which are 6.3% and 1.1%, respectively. This reveals that the thermal performance of the
combisystem is improved using NDASC, especially in cold seasons when the solar radiation is
low. The annual solar fraction for DHW is 90.5% and 94.3% using FPSC and NDASC,
respectively.
Figure 12 shows the monthly variation of SH required, supplied, and auxiliary energy demands,
as well as SFSH. As shown in Figure 12 (a), the SFSH of 18.2%, 20.0%, 11.0%, 13.2%, and
13.97% are obtained in January, February, March, November, and December, respectively. In
October, April and May, all SH required energy is supplied by the auxiliary energy, because the
thermal energy for SH is required at nights. Based on the results presented in Figure 12 (b), by
using NDASC, the required auxiliary energy decreases 0.9% in March to 2.4% in January,
compared to that by using FPSC. The annual SFSH is 15.2% and 17.5% using FPSC and
NDASC, respectively.
In the proposed HDH-SCS, when the energy needs for DHW and SH are met, the excess heat is
used to produce the DW using the HDH desalination system. In Figure 13, the monthly variation
of the produced DW by the system is shown. As can be seen, using both collectors, the produced
DW increases by increasing the incident solar radiation. Using FPSC and NDASC, the maximum
DW of about 36,700 l and 43,700 l is produced in July, respectively, while the minimum DW of
2,036.1 l and 2,092.6 l is produced in January, respectively. The annual produced DW using
NDASC is 224,370 l, which is 18% higher than that using FPSC.
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Given that the daily freshwater demand of each person is on average 150 l [32], it can be
concluded that the DW demand is completely supplied by the system from April to September,
and excess produced DW can be sold. In other months, the produced DW can provide the DW
demand in the range of 11.3% in January to 93.9% in October.
4 Economic analysis
In this study, the Life Cycle Cost (LCC) method is used to analyze the economic impacts of the
proposed HDH-SCS [33]. In this method, all the costs of the system over the lifetime are
summed by taking into account the time value of money. In the present work, the economic
scenario used is to receive no mortgage and pay 100% of the systemâs cost in advance.
Therefore, the LCC, for a solar plus auxiliary system, was estimated by the following relation:
systemcost initial cost fuel cost parasiticenergycost maintenancecost= + + + (26)
The initial cost includes the equipment, design, transportation, installation costs, and also, the
cost of the installation space if not installed on the roof of the building. The cost of equipment
includes the cost of solar collectors, storage tanks, pumps, pipes, insulation, heat exchangers, and
controllers. In this study, the cost of the FPSC and NDASC are 75 and 602
$
m , respectively;
therefore, by considering the collector area of 18 m2, the initial cost of collectors is 1350 $ and
1080 $, respectively [34]. Due to the removal of absorber plate and tubes, NDASC has a lower
cost than FPSC. However, the total capital cost of NDASC is considered about 1.2 times higher
than that of FPSC because of using the nanofluid as the working fluid [35]. The cost of the HDH
system and the auxiliary boiler are considered 700 $ and 490 $, respectively.
The operational cost includes fuel, parasitic energy, and maintenance costs, which is considered
a percentage of the initial investment cost and increases annually at a certain rate. In this study,
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the system maintenance cost estimated initially at 1% of the initial system cost increased
annually by 0.5% as the system ages [33]. It should be noted that the maintenance cost of
NDASC, because of using the nanofluid, is also considered about 1.2 times higher than that of
FPSC [35].
The cost of the fuel consumed by the auxiliary heater is calculated using the following relation :
(27) 0
t
AUX FA AUXC C L dt=
where FAC is the cost rates ($/GJ) for auxiliary fuel.
The present worth (PW) of the system cost is expressed as:
( )
( )
1 1
1
n
n n
SystemCost iPW
d
â +=
+
(28)
where d = market discount rate, which is the reduction of the time value of money over time,
and n is the number of life cycle years.
The Life Cycle Savings (LCS) is the difference between the cost of a solar system and the cost of
a conventional system that works with fossil fuels:
System savings fuel savings water cost resalevalue extra parasiticenergy cost
extra maintenancecost
= + + â
â
(29)
where resale value is the cost of reselling the system at the end of the system life which is
considered 30% of the initial cost. The total present worth of the gains from the solar system
compared to the fuel-only system is also obtained using Eq. (29).
Another economic indicator, which is used for the comparison of the systems, is the payback
time. It is the time to return the initial capital or the time required for the annual solar savings to
become positive [33]. In this study, the period of economic analysis is equivalent to the life of
the system, which is taken as 20 years. The inflation rate and the discount rate are considered
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equal to Iranâs economic indicators for 2016, which were respectively 9.6% and 15% [36]. The
freshwater and also, the energy carriers including the natural gas and electricity in Iran are
subsidized by the Government; however, in this analysis, the non-subsidized global prices are
considered to make the analysis more logical. The natural gas, electricity, and freshwater prices
are considered3
$0.7715
m ,
$0.15
kWh and
3
$2.8
m, respectively [37, 38]. The annual inflation rate
of natural gas, electricity, and freshwater prices are expected to be 15%, 3% and 6%,
respectively. The results of the economic analysis are listed in Table 2. As can be seen, because
of the lower initial system cost and higher LCS for fuel and water costs, the payback period of
the system using NDASC is about 18% lower than that of the system using FPSC. The results
confirm the better performance of the proposed HDH-SCS using NDASC as a solar collector.
Conclusion
In this study, the performance of the HDH-SCS has been studied in the Hot-Dry climate zone.
Using the proposed system, in addition to DHW and SH demands, freshwater demand of the
residential case study building is also produced. The findings can be summarized as follows:
⢠The monthly SFDHW of the proposed system using NDASC is larger than that using FPSC
because of more solar absorption by the nanofluid. The maximum SFDHW enhancement of
6.3% is achieved in January, which indicates better system performance in cold months
using NDASC.
⢠Due to assign the greater portion of the collector useful gain to provide DHW, the auxiliary
energy for SH is always higher than that for DHW. In other words, SFDHW is higher than
SFSH, in all months. The maximum SFSH of 20.0% is achieved by the proposed system in
19
February. In comparison with the FPSC-based system, the SH auxiliary energy decreases
2.4% in January.
⢠While the DW demand is completely supplied by the system from April to September. The
produced DW by the proposed system can provide the DW demand in the range of 11.3%
in January to 93.9% in October.
⢠The economic analysis using the LCC method showed that the cost saving of 38900 $ is
achieved in the system lifetime and the payback period is 6.4 years.
⢠The system performance is enhanced using the diamond nanofluid as the working fluid of
the DASC instead of using FPSC. The annual DHW and SH solar fractions increase 3.8%
and 1.8%, respectively. The annual produced DW is on average 18% higher. The LCS
increases 11.3% and the payback period decreases about 18%. It is concluded that the
nanofluid-based DASC is a better option for using as the energy source in the proposed
system.
⢠The results show that combining the solar thermal combisystem with a thermal desalination
system prevents the heat loss of the system, especially in hot seasons, and consumed it for
producing the DW. Consequently, using this system helps to solve the peopleâs lack access
to the freshwater.
Nomenclature
Cost, $ C
Light velocity, m s c
20
Specific heat, .kJ kg K pc
Discount rate d
Total solar irradiance incident on the aperture of tilted collector,
2W m
TG
Height, m H
Enthalpy rate, W H
Specific enthalpy, J kg h
Heat transfer coefficient, 2.W m K h
Intensity, W sr I
Inflation rate i
Absorption coefficient, 1mâ Ka
Scattering coefficient, 1mâ sK
Extinction coefficient, 1mâ eK
Thermal conductivity, .W m K k
Boltzmann constant Bk
Load, J L
21
Mass flow rate, kg s m
Number of years n
Pressure, Pa P
heat transfer rate, kJ h Q
Radiative source term, 2W m rq
Temperature, K T
Time, s t
Velocity, m s U
Velocity, m s u,v
Coordinates, m x,y
Greek Symbols
Density, 3kg m
Wavelength, m
Effectiveness
Glass transmittance g
Absolute humidity, w dakg kg Ď
22
Spatial angle Ď
Viscosity, .kg m s
Scattering phase function
Subscripts
Air đ
Ambient amb
Brine b
Auxiliary AUX
Dehumidifier D
Dry air da
Auxiliary fuel FA
Fluid-gas fg
Humidifier H
Inlet in
Nanofluid nf
Outlet out
Product water pw
23
Radiative r
Useful u
Water w
Spectral
Acronyms
Domestic hot water DHW
Distilled water DW
Flat plate solar collector FPSC
Gain output ratio GOR
Nanofluid-based direct absorption solar collector NDASC
Life cycle cost LCC
Life cycle savings LCS
Space heating SH
Solar fraction SF
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24
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29
Figure captions:
Figure 1 Schematic of the proposed HDH-SCS
Figure 2 Descriptive diagram of TRNSYS model of HDH-SCS
Figure 3 Hourly DHW consumption profile [23]
Figure 4 Schematic of NDASC
Figure 5 Comparison of the experimental and numerical efficiency of NDASC
Figure 6 Spectral transmittance and extinction coefficient of diamond nanofluid wit
concentration of 0.001 wt% [29]
Figure 7 Schematic of a CAOW-HDH desalination system
Figure 8 Flowchart of the HDH modeling process
Figure 9 Comparison of the experimental and numerical GOR
Figure 10 Monthly solar radiation and monthly average air temperature in Tehran
Figure 11 Monthly variation of DHW energy demand, supplied, auxiliary energy demand and
solar fraction using (a) FPSC (b) NDASC
Figure 12 Monthly variations of SH energy demand, supplied, solar fraction and auxiliary energy
demand using (a) FPSC (b) NDASC
Figure 13 Monthly variations of freshwater demand and DW production
30
Table captions:
Table 1 Case study building specifications
Table 2 Results of economic analysis
31
Figure 2 Schematic of the proposed HDH-SCS
32
Figure 2 Descriptive diagram of TRNSYS model of HDH-SCS
33
Figure 3 Hourly DHW consumption profile [23]
0
1
2
3
4
5
0 5 10 15 20
Folw
Rate
(l/
h)
Day Time (h)
34
Figure 4 Schematic of NDASC
35
Figure 5 Comparison of the experimental and numerical efficiency of NDASC
0
0.2
0.4
0.6
0.8
1
0 0.005 0.01 0.015 0.02
Eff
icie
ncy
(Tin-Tamb)/GT (m2K/W)
Present Study
Karami et al. [29]
36
Figure 6 Spectral transmittance and extinction coefficient of diamond nanofluid with
concentration of 0.001 wt% [29]
0
20
40
60
80
100
0
2
4
6
8
10
12
14
350 550 750 950 1150 1350
Tra
nsm
itta
nce
(%
)
Exti
nct
ion
Co
effi
cien
t (c
m-1
)
Wavelength (nm)
Extinction Coefficient
Transmittance
37
Figure 7 Schematic of a CAOW-HDH desalination system
38
Figure 8 Flowchart of the HDH modeling process
39
Figure 9 Comparison of the experimental and numerical GOR
0.8
1
1.2
1.4
1.6
1.8
2
50 60 70 80 90 100
GO
R
Saline water inlet temperature (â)
Present Study
Narayan et al. [30]
40
Figure 10 Monthly solar radiation and monthly average air temperature in Tehran
0
100
200
300
400
500
600
700
800
0
5
10
15
20
25
30
35
40
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Sola
r ra
dia
tion
(M
J)
Tem
per
atu
re (
ËC)
Time (Months)
Ambient temperature
Incident solar radiation
41
(a)
(b)
Figure 11 Monthly variation of DHW energy demand, supplied, auxiliary energy demand and solar
fraction using (a) FPSC (b) NDASC
0
20
40
60
80
100
0
10
20
30
40
50
60
70
80
Jan Fer Mar Apr May Jun Jul Agu Sep Oct Nov Dec
Sola
r fr
act
ion
(%
)
En
ergy (
MJ/m
2)
Time (Months)
DHW required energy
DHW supplied energy
DHW auxiliary energy
SF_DHW
0
20
40
60
80
100
0
10
20
30
40
50
60
70
80
90
100
Jan Feb Mar Apr May Jun Jul Agu Sep Oct Nov Dec
Sola
r fr
act
ion
(%
)
En
ergy (
MJ/m
2)
Time (Months)
DHW required energyDHW supplied energyDHW auxiliary energySF_DHW
42
(a)
(b)
Figure 12 Monthly variations of SH energy demand, supplied, solar fraction and
auxiliary energy demand using (a) FPSC (b) NDASC
0
5
10
15
20
25
30
0
50
100
150
200
250
300
350
Jan Feb Mar Apr May Jun Jul Agu Sep Oct Nov Dec
Sola
r fr
act
ion
(%
)
En
ergy
(MJ/m
2)
Time (Months)
SH required energy SH supplied energy SH auxiliary energySF_SH
0
5
10
15
20
25
30
0
50
100
150
200
250
300
350
Jan Feb Mar Apr May Jun Jul Agu Sep Oct Nov Dec
Sola
r fr
act
ion
(%
)
En
ergy (
MJ/m
2)
Time (Months)
SH required energy
SH supplied energy
SH axuiliary energy
SF_SH
43
Figure 13 Monthly variations of freshwater demand and DW production
0
100
200
300
400
500
600
700
800
0
10000
20000
30000
40000
50000
Jan Feb Mar Apr May Jun Jul Agu Sep Oct Nov Dec
Sola
r ra
dia
tion
(M
J)
DW
pro
du
ctio
n (
l)
Time (Months)
NDASC
FPSC
Freshwater demand
Incident solar radiation
44
Table 2 Case study building specifications
Parameter Value
Floor area 2100 m
Overall heat transfer coefficient of external walls 0.04 đ/(đ2đž)
Overall heat transfer coefficient of roof 0.14 đ/(đ2đž)
Overall heat transfer coefficient of windows 1.25 đ/(đ2đž)
Inside set point temperature 22â
Window-to-Wall Ratio (WWR) 30%
Occupants 4 Persons
Occupant activity level Seated, light work
Natural ventilation 1 ACH
Infiltration 0.16 ACH
Artificial lighting 5 đ/đ2
Domestic hot water demand per person 50 l
Domestic hot water temperature 60â
Freshwater demand per person 150 l
45
Table 2 Results of economic analysis
Parameter FPSC NDASC
System cost, $/đŚđ 3733.5 3606
LCS for fuel cost (đđ/year) 25586.6 27074.9
LCS for water cost ($) 8915.4 11831.6
Payback period (year) 7.8 6.4
46
Biographies
Maryam Karami received her both BS (2004) and PhD (2015) in Mechanical Engineering from
University of Tehran, Iran, and MS (2007) from Tarbiat Modares University, Tehran, Iran. Her
specific research interest is renewable energy systems, HVAC systems, and building
performance simulation. She has three books and numerous professional journal papers. She is
currently working as an Assistant Professor in the Faculty of Engineering at Kharazmi
University, Iran. Currently, more than 7 MS research students are working under his supervision.
Seyedeh Somayeh Nasiri Gahraz received her BS in Mechanical Engineering from Semnan
University, Semnan, Iran, in 2017, and MS in Mechanical Engineering from Kharazmi
University, Tehran, Iran, in 2020. Her research interests include water desalination, solar thermal
systems, and dynamic simulation.