Accepted Manuscript Design and analysis of phase change material based floor heating system for thermal energy storage Beom Yeol Yun, Sungwoong Yang, Hyun Mi Cho, Seong Jin Chang, Sumin Kim PII:
S0013-9351(19)30177-X
DOI:
https://doi.org/10.1016/j.envres.2019.03.049
Reference:
YENRS 8411
To appear in:
Environmental Research
Received Date: 30 November 2018 Revised Date:
18 March 2019
Accepted Date: 19 March 2019
Please cite this article as: Yun, B.Y., Yang, S., Cho, H.M., Chang, S.J., Kim, S., Design and analysis of phase change material based floor heating system for thermal energy storage, Environmental Research (2019), doi: https://doi.org/10.1016/j.envres.2019.03.049. This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.
ACCEPTED MANUSCRIPT
Design and analysis of phase change material based floor heating
2
system for thermal energy storage
RI PT
1
3
4
Beom Yeol Yun, Sungwoong Yang, Hyun Mi Cho, Seong Jin Chang, Sumin Kim*
SC
5
Department of Architecture and Architectural Engineering, Yonsei University, Seoul 03722,
7
Republic of Korea.
M AN U
6
8
10
11
TE D
9
* Corresponding author:
13
E-mail:
[email protected]
AC C
EP
12
1
ACCEPTED MANUSCRIPT
Abstract
15
Pleasant interior space is essential for modern people who spend considerably more time in the
16
buildings than they did in the past. To achieve this, one aspect includes an ambient temperature that
17
maintains the thermal equilibrium of the human body. The construction of wood framed buildings is
18
becoming increasingly popular worldwide, and there have been recent trends toward constructing
19
high-rise wooden houses. In this respect, heating methods appropriate for use in wooden buildings
20
are being studied. Dry floor heating systems are predominantly used in wooden houses, but they
21
provide a poor heat storage performance, which is not conducive to saving energy. In this study, the
22
effects of thermal comfort and energy savings were analyzed after applying a phase change material
23
(PCM) to floor heating, which can be used to reduce the peak temperature and contribute to energy
24
savings. To enable shape stabilization, this study used Macro-Packed PCM (MPPCM), as shape
25
stabilization is necessary when applying PCM. The heat storage performance was improved by
26
applying MPPCM to a dry floor heating system. Paraffin-based PCMs, such as n-octadecane, n-
27
eicosane, and n-docosane, were used to obtain a comfortable floor temperature range. Experimental
28
temperatures ranged from 28°C to 35°C, with an entire temperature range of 7°C. Experimental
29
results showed that the heat storage performance of MPPCM reduced the amount of energy used for
30
heating by 43%, and n-eicosane was the most effective PCM for use in floor heating with respect to
AC C
EP
TE D
M AN U
SC
RI PT
14
2
ACCEPTED MANUSCRIPT
31
obtaining a comfortable floor temperature.
32
Keywords
34
Phase change materials; Heat storage; Latent heat; Dry floor heating system; Power
35
consumption; Energy saving
SC
RI PT
33
36
1. Introduction
38
People spend a considerable more time in buildings nowadays than they did in the past
39
(approximately 90% of time) (López-Pérez et al., 2019), and the internal comfort of a building has
40
thus become more important (WHO, 1989; Park et al., 2016; Singh et al., 2010). The demand for
41
electric power used in heating and cooling has recently increased dramatically throughout the world,
42
and governments are strengthening policies to reduce the energy consumption of buildings.
43
Therefore, research and development on efficient building energy systems are being conducted, and
44
in particular, research relating to phase change materials (PCMs) is being actively conducted
45
globally with respect to its use in reducing the heating and cooling energy load of buildings. Phase-
46
change materials undergo phase changes with temperature and can accumulate and emit thermal
47
energy by using latent heat when the phase changes from solid to liquid or from liquid to solid.
48
Because latent heat has a better energy storage capacity than sensible heat, it saves heat and energy
AC C
EP
TE D
M AN U
37
3
ACCEPTED MANUSCRIPT
used in buildings more efficiently (Lee et al., 2017).
50
Many studies have been conducted with the aim of achieving energy saving in buildings. For
51
example, a simulation program conducted by Mi et al. (Mi et al., 2016) provided a 10% saving in
52
heating energy, and the study of Lei et al. (Lei et al., 2016) enabled a reduction in the cooling load
53
within the tropical climate of Singapore. Another study analyzed the effect of reducing the peak
54
temperature using commercially available PCM products (Berardi and Soudian, 2019), and one
55
study analyzed the reduction in cooling energy demand in a desert climate (where the demand for
56
cooling energy is extreme) by using PCM within the walls (Hasan et al., 2018). In this regard,
57
applying PCM to the buildings is the issue because it can reduce the building energy in various ways.
58
Furthermore, studies are being conducted to reduce CO2 emissions, which are the main cause of
59
global warming worldwide (Kahouli, 2018). It has been shown that the use of wood as a building
60
material causes less CO2 to be released than when producing concrete (Nässén et al., 2012), and
61
wooden houses using environmentally friendly and energy-efficient lightweight wooden building
62
techniques are thus attracting attention. A technique for building high-rise wooden buildings has
63
been developed based on the development of structural timber such as cross-laminated timber (CLT)
64
(Brandner et al., 2016), and research on the construction of high-rise wooden buildings is being
65
actively conducted globally (Ramage et al., 2017).
AC C
EP
TE D
M AN U
SC
RI PT
49
4
ACCEPTED MANUSCRIPT
In conventional floor heating, it is necessary to use three components: insulation, lightweight foam
67
concrete, and mortar. However, when we consider the wooden buildings, there are few concerns
68
about applying the conventional floor heating system (Shin et al., 2015). Therefore, the timber
69
houses require a suitable type of heating system: simple to use and install lighter and proper heights.
70
In a wooden building, it is thus preferable to use light dry floor heating system instead of wet floor
71
heating for several reasons. The dry floor heating provides advantages in that there is a lighter load
72
applied to the building than when using wet floor heating. Furthermore, this method does not need a
73
thicker layer to fix heating, pipes and it takes more story heights. This is why Most wooden
74
buildings adopt the electric panel heating system that meets the conditions; lighter and thinner.
75
However, with dry floor heating, there are no thermal-energy storage media, such as mortar. For this
76
reason, the dry floor heating system would more energy when the heating period.
77
Therefore, this study applies PCM, which has an excellent heat storage performance, to the electric
78
panel heating. The applied PCM types are divided to their melting temperature. Also, PCMs were
79
fabricated macro-packed PCM (MPPCM) (Chang et al., 2017). To confirm the optimal thermal
80
performance of the heating system, the power saving effect relating to MPPCM was analyzed by
81
changing its composition.
AC C
EP
TE D
M AN U
SC
RI PT
66
82
5
ACCEPTED MANUSCRIPT
Studies on the use of PCM and the stabilization of phases have been conducted with respect to the
84
inherent problems with PCM when applied to buildings: leakage in a liquid state and weakening due
85
to phase changes. There are four ways to apply PCM to buildings. The first is to directly insert PCM
86
into building materials; for example, a metal foam can be immersed in a PCM to form a PCM inside
87
(Zhu et al., 2018), PCM can be placed in a concrete slab to reduce the peak temperature (Navarro et
88
al., 2015), and free-cooling can be attained by applying PCM to lightweight buildings (Rouault et al.,
89
2013). Second, PCM can be impregnated into pores by vacuuming building materials; for example,
90
it has been applied to the gypsum board by vacuum impregnation (Jeong et al., 2016b). In addition,
91
xGnP porous material has been impregnated with n-hexadecane and applied to concrete to enhance
92
the thermal performance (Kim et al., 2014), and the thermal performance has been improved by
93
impregnating expanded graphite with PCM (Ren et al., 2018; Tian et al., 2016; Zhong et al., 2014).
94
Third, PMC can be inserted into small capsules, and studies on types of microencapsulated PCM and
95
methods of applying it are progressing (Shannaq and Farid, 2015). For example, Alam et al. (2015)
96
studied the phase stabilization of PCM through polymer coating; research has been conducted to
97
stabilize PCM by wrapping it in silica, (Zhang et al., 2018); and studies using graphite as a phase
98
stabilizing material have been conducted (Cui et al., 2015a). Finally, PCM can be packed into a
99
packaging container in a process known as macro-packing. Macro-PCM has been applied to a roof to
AC C
EP
TE D
M AN U
SC
RI PT
83
6
ACCEPTED MANUSCRIPT
reduce the heat island phenomenon in an urban area (Yang et al., 2017), and thermal analysis of
101
PCM in a processed spherical metal has been conducted (Cui et al., 2017). Furthermore, numerical
102
simulations have been conducted with respect to the microencapsulation of mechanical properties
103
(Cui et al., 2015b), and one study evaluated the thermal performance of a wood frame house by
104
applying macroencapsulated PCM (Chang et al., 2017).
105
Of these methods of use, the MPPCM method uses more PCM than the other methods. Of the
106
characteristics of PCM, its latent heat capacity has the greatest effect on its energy storage
107
performance. In methods other than MPPCM, only 80% of the PCM can actually be used; therefore,
108
the amount of latent heat is relatively decreased (Huang et al., 2019). In contrast, the MPPCM
109
method uses the most latent heat (approximately 98%), and it thus has a greater storage effect than
110
other methods.
111
Therefore, in this paper, PCMs were fabricated macro-packed PCM (MPPCM) (Chang et al., 2017).
112
To confirm the optimal thermal performance of the heating system, the power saving effect relating
113
to MPPCM was analyzed by changing its composition.
SC
M AN U
TE D
EP
AC C
114
RI PT
100
115
2. Methodology
116
2.1. Materials
7
ACCEPTED MANUSCRIPT
PCM is a substance that undergoes phase changes; it releases heat by accumulating or storing heat
118
through physical changes (not chemical changes). There are three types of phase change materials:
119
organic, inorganic, and eutectic (Jeong et al., 2016a; Vicente and Silva, 2014). Organic PCMs are
120
chemically stable, and although they do not cause any phase separation or supercooling phenomena
121
(examples are paraffinic PCMs, such as n-hexadecane, n-octadecane, and n-eicosane). Inorganic
122
PCMs are comprised of a salt or metal salt, such as calcium chloride or sodium sulfate, and provide a
123
high amount of latent heat per unit volume compared to organic PCMs; however, they can be
124
affected by phase changes due to corrosion or supercooling (Safari et al., 2017), which is a distinct
125
disadvantage. Eutectic PCMs are composed of a mixture of two or more components and have a
126
rapid melting point, which makes it easy for phase changes to occur at particular temperatures.
127
However, there is a current lack of basic research conducted on their thermal behavior and function.
128
It is necessary to first select a PCM that provides an appropriate phase change temperature, prior to
129
using it in a building. As PCMs use latent heat during phase changes, a phase change interval must
130
be applied to fully provide the heat storage performance through latent heat. In addition, as the
131
structure can be applied to the outer wall, inner wall, the ceiling, or (in the case of this study) to the
132
floor, it is necessary to select an appropriate PCM that can provide the required temperature and
133
phase change. For the floor of a building, this temperature range is 28–35°C (Kim, 1993). Therefore,
AC C
EP
TE D
M AN U
SC
RI PT
117
8
ACCEPTED MANUSCRIPT
the suitable phase change materials in this respect, according to the required phase change
135
temperature, are paraffin-based n-octadecane (PARAFOL 18-97), n-eicosane (PARAFOL 20Z), and
136
n-docosane (PARAFOL 22-95). These were thus used as the PCMs in the experiments in this study,
137
and all PCMs used were obtained from Celsius Korea, South Korea. The properties of each PCM are
138
described in Table 1.
SC
RI PT
134
139
2.2. Preparation
M AN U
140
141
In manufacturing such MPPCM, the material for packaging the PCM should have excellent
143
durability, resistance to corrosion, and minimal transformation in response to temperature changes.
144
This study secured the phase stabilization and usability of PCM by employing nylon packaging in
145
the MPPCM method. The manufacturing method and procedure used are shown in Figure 1 and are
146
as follows. First, the PCM was heated to 60°C to allow it to completely melt, and 180 g of liquid
147
PCM was then injected. The inside of the nylon package was then vacuum sealed using a vacuum
148
packaging machine. The nylon package was divided into three compartments using a vacuum
149
packaging machine to equalize the absorption and release of heat energy by splitting the PCM
150
uniformly (without allowing it to deviate to one side). Finally, to make MPPCM of the same size and
151
thickness, the MPPCM was fabricated by cutting the upper part to a size of 200 mm × 200 mm × 8
AC C
EP
TE D
142
9
ACCEPTED MANUSCRIPT
152
mm (length × width × thickness) (Chang et al., 2017).
154
RI PT
153
2.3 Experimental set-up
In this study, the temperature of the electric panel was controlled and monitored via a temperature
156
controller sensor; when the electric panel reached the target temperature, it was automatically turned
157
off and the setback temperature was set to 7°C.
158
Figure 2 shows the settings used in the experimental environment, which was a real environment
159
where the floor was actually heated using the electric panel designed. The amount of heat released to
160
the outside was reduced by using insulation, and the film was protected from damage by installing a
161
film protection plate. A finishing material was also employed to ensure that the floor heat was spread
162
evenly. In both experiments, the electric panel floor heating was constructed in the order of: heat
163
insulation, electrical panel, film protection plate, and floor finish. The temperature was measured
164
using a thermocouple sensor as shown in Figure 3, and data were recorded using a data logger (GL-
165
840). Experimental conditions were set to heat for 12 h at a target temperature of 35°C, and the
166
setback temperature was 28°C. The PCM was divided into an upper and lower part, both of which
167
had contact with the electric film as a heat source.
168
A second experiment was conducted to select which PCM provided the optimal performance in the
AC C
EP
TE D
M AN U
SC
155
10
ACCEPTED MANUSCRIPT
electric panel heating system based on the results of the first experiment. Experimental conditions
170
were based on the surface temperature of the layer at 28–35°C, which is a comfortable floor
171
temperature range (Kim, 1993). In the experiment, the heating operation time was set to 12 h in each
172
case, based on an average room residential time of 12 h, which was obtained from data of the Korean
173
Statistical Information Service (KOSIS). The amount of electricity consumed was compared in
174
experiments. In both experiments, the temperature of the experimental space was maintained at 25°C,
175
and the temperature at the top and bottom of the heating film layer was simultaneously measured
176
using the temperature sensor.
M AN U
SC
RI PT
169
177
179
3. Results and Discussion
TE D
178
3.1. Experiments to determine layer configuration An experiment was conducted to determine the best layer composition, different experiments were
181
conducted for the various cases shown in Table 2, and the temperature of the MPPCM was measured
182
at the top of the electric panel (UP_Case) and at the bottom (DOWN_Case). Table 3 shows the time
183
delay of the UP_Case based on the DOWN_Case. The delay in time until the lower temperature limit
184
of 28°C was obtained is defined as the heating delay, and the cooling delay is the delay in time until
185
a temperature of 28°C was reached during non-heating. Figure 5 shows the temperature changes
AC C
EP
180
11
ACCEPTED MANUSCRIPT
during 20 h for UP and DOWN of Octadecane (Case_n-octadecane), Eicosane (Case_n-eicosane),
187
and Docosane (Case_n-docosane), respectively. Figure 4 shows results for the sample without PCM
188
(ref), where there is no temperature difference between the upper and lower parts of the electrical
189
panel, and the temperature changes are the same during heating and cooling, which shows that the
190
thermal energy applied to the top and bottom of the panel is the same. The top graph in Figure 5
191
shows the temperature change for Case_n-octadeane. The heating delay was increased by 127 min,
192
and the cooling delay was decreased by 7 min. For the cases of n-octadecane_UP and n-
193
octadecane_DOWN, it is possible to confirm the phase change interval at the beginning of heating,
194
and the difference in surface temperature at the time when the phase change occurred, which shows
195
that heat was transferred to the upper surface when the phase change occurred. In n-
196
octadecane_DOWN, the surface temperature reached a maximum of 33.4°C, even during the phase
197
change, whereas n-octadecane_UP did not reach 28°C. It can be seen that the MPPCM based on n-
198
octadecane stores heat in the form of latent heat through the phase change, and the time taken to
199
reach a comfortable temperature range is delayed when MPPCM is located at the upper part of the
200
electric panel. The middle graph in Figure 5 shows the temperature change of Case_n-eicosane. The
201
heating delay was increased by 17 min, and the cooling delay was decreased by 11 min. For n-
202
eicosane_UP, the surface temperature continuously increased from 30°C, while it was maintained for
AC C
EP
TE D
M AN U
SC
RI PT
186
12
ACCEPTED MANUSCRIPT
n-eicosane_Down after reaching 35°C. The phase change zone was confirmed during cooling, and
204
the surface temperature was maintained at 29°C for more than five hours. The temperature change
205
graph of Case_n-docosane is shown in the bottom graph of Figure 5. The heating delay was
206
increased by 12 min, and the cooling delay was decreased by 4 min. In addition, there was no phase
207
change interval, because the temperature of the electrical panel did not reach the melting point of n-
208
docosane. It was thus confirmed that heat was stored and transferred only in the form of sensible
209
heat. This experiment confirms that the DOWN_Case was faster than the UP_Case with respect to
210
the time taken to reach a comfortable temperature range. The surface temperature difference between
211
the UP_Case and the DOWN_Case during heating is plotted in Figure 6, according to time. The
212
maximum temperature difference is measured to be 7.3°C during heating, and the temperature
213
difference is approximately 1°C during cooling (these differences are shown cumulatively in Figure
214
7 to analyze the heat energy). In all cases, there was a continuous increase in the accumulated
215
temperature difference during heating. However, the greatest increase was found for Case_n-
216
octadecane, which had the largest temperature difference, and the smallest increase was seen in
217
Case_n-docosane, which had no phase change interval. It is considered that an increase in the
218
accumulated temperature difference indicates a more efficient use of thermal energy, this means that
219
they can be kept at a higher temperature when the same energy is used. In summary, an increase in
AC C
EP
TE D
M AN U
SC
RI PT
203
13
ACCEPTED MANUSCRIPT
the accumulated temperature difference shows an equivalent efficiency that results in less energy
221
being used. Therefore, these experiments prove that forming a layer by placing the PCM under the
222
electric panel reduces the heating delay, shortens the time taken to reach a comfortable temperature,
223
and increases energy efficiency by increasing the surface temperature. It is thus evident that the most
224
efficient positioning of MPPCM is to construct the layer under the electric panel. It is also shown
225
that the PCM needs to be located away from the direction in which heat is to be transferred, and this
226
will be evidenced in further studies related to heat transfer. However, if the PCM is not located close
227
enough to the heat source, as in the present experiment, it is necessary to study the complex concept
228
of heat transfer and heat preservation when heat is to be conserved (de Gracia and Cabeza, 2015).
230
SC
M AN U
TE D
229
RI PT
220
3.2. Experiment to determine efficiency during and after heating As a result of the experiment described in the previous section, the MPPCM was placed under the
232
electric panel. Experiments were performed under the same conditions as in the previous experiment,
233
and the measurement results for a total of 20 h are shown in Figure 8. Analysis was conducted
234
during heating and after heating; first, the heating time during heating and the cooling time during
235
heating were analyzed, and experimental results are shown in Figure 9, where the heating time
236
shown in the graph represents the time taken to reach the set temperature of 35°C after heating, and
AC C
EP
231
14
ACCEPTED MANUSCRIPT
the cooling time represents the setback temperature of 28°C after cooling. A comparison of heating
238
times shows that ref was 4.69 min and Case_n-docosane was 4.16 min. This comparative reduction
239
in heating time means that less energy required for heating is consumed through the heat storage
240
performance of the PCM. Therefore, n-docosane-based MPPCM, which has the shortest heating time,
241
is considered to be the most effective for use when heating. The cooling time of ref was measured as
242
8.54 min, and the shortest cooling time of 7.79 min was recorded for Case_n-octadecane. The
243
longest cooling time was 13.82 min for Case_n-docosane. The reason why the cooling time of
244
Case_n-octadecane is shorter than that of ref is that the PCM n-octadecane used in Case_n-
245
octadecane has a melting point of 27.5°C, and it is considered that the energy behavior is only in the
246
form of sensible heat. Case_n-docosane shows a 62% increase in cooling time compared to ref, and
247
the increase in cooling time indicates that PCM uses stored energy in the form of latent heat through
248
phase change. Therefore, MPPCM based on n-docosane is considered to be most effective for
249
cooling, because it has the longest cooling time. In this work, we conducted a different analysis from
250
the ones that did heat analysis after non-heating followed by heating. In previous studies, the thermal
251
effects of PCM liquification and solidification were analyzed one-cycle after the end of heating
252
(Panayiotou et al., 2016). Moreover, in the same way, as in the previous study, it was performed
253
thermal analysis while heating was in progress (Novais et al., 2015). However, previous studies have
AC C
EP
TE D
M AN U
SC
RI PT
237
15
ACCEPTED MANUSCRIPT
shown that PCM is an inadequate method for evaluating the overall thermal performance of PCM,
255
including the specific heat and latent heat. Therefore, this study analyzed the effect of PCM during
256
heating. Heating time refers to the time required for heating, and the amount of heat required to heat
257
the PCM can be analyzed over time, cooling time means that the PCM can dissipate the heat energy
258
it possessed as latent heat to reduce the time required for heating (Krishna et al., 2017).
259
An experiment was also conducted to confirm one cycle of heating on and off when heating. This
260
was analyzed by dividing the time from the start of heating to the end into two hour periods, and
261
Figures 10 and 11 show temperature graphs for 0 2 h and 10 12 h after the start of heating,
262
respectively. n-eicosane showed the lowest number of heating times between 0 and 2 hours
263
immediately after heating, whereas in the final 10 12 h of heating, n-docosane showed the lowest
264
number of heating times. Therefore, the use of Case_n-eicosane is considered to be more effective
265
when using only sensible heat, and when using latent heat and sensible heat at the same time,
266
Case_n-docosane is more effective. In this experiment, the relative efficiency was examined by
267
comparing the heating and cooling times.
268
To quantitatively measure the actual heating energy used in heating, the amount of heating energy
269
used was derived from the measured power. The amount of electric energy used was measured using
270
an electric power measuring device and measured in real time, and the standby power and
AC C
EP
TE D
M AN U
SC
RI PT
254
16
ACCEPTED MANUSCRIPT
consumption power were measured as 0.3W and 139W, respectively. Standby power refers to the
272
amount of power used during cooling time, and the amount of power used is that used during heating
273
time. Therefore, the power consumption through the measured cooling time and heating time can be
274
calculated using Eq. (1) as follows,
275
RI PT
271
SC
Wh = ∗ + ∗ ,
(1)
Where Wh is power consumption; and are the heating time and cooling time, respectively; and
277
and are the standby power and consumption power. The power used is the instant power
278
consumption, which is the same as the standby power and the power used as a result of this
279
experiment. Figure 12 shows the numerical values obtained using this equation and the power
280
consumption. To compare the calculated value with the actual electric energy used, the total
281
operation time of the electric film (15 h) was measured. The calculated power consumption was
282
741.92 Wh for ref, 734.99 Wh for Case_n-octadecane, 510.76 Wh for Case_n-eicosane, and 487.64
283
Wh for Case_n-docosane, respectively. There were differences of up to 27% between the calculated
284
amount of electricity and the measured consumed, and power consumption was decreased in
285
Case_n-octadecane, n-eicosane, and n-docosane compared to ref. The power consumption
286
measurements were as follows: ref consumed 1030 Wh of power, Case_n-octadecane consumed 943
287
Wh, Case_n-eicosane consumed 674 Wh, and Case_n-docosane consumed 595 Wh. Due to the
AC C
EP
TE D
M AN U
276
17
ACCEPTED MANUSCRIPT
shortened heating time from the heat storage effect, Case n-octadecane, Case_n-eicosane, and
289
Case_n-docosane showed reductions in power consumption of 9%, 35%, and 43% compared to ref,
290
respectively, and this decrease occurred because energy was stored and discharged by latent heat
291
through heat storage and phase changes.
292
It is also considered that the power consumption decreased because there was a decrease in the
293
operation time compared to the total amount of time that it could have been used. Although n-
294
docosane is considered to be the most efficient when only power consumption is considered, Figure
295
8 shows that only n-eicosane satisfies the cooling range required to provide a comfortable floor
296
temperature. Therefore, n-eicosane is considered to be the most efficient, if both power consumption
297
and floor comfort temperature are considered, and the results of this analysis are shown in Table 4.
298
In this work, there are differences between the results of calculations and measurements; however,
299
the tendency is consistent. Nevertheless, differences from predicted results mean that other variables
300
are involved, and further studies are thus needed to determine which additional variables should be
301
considered when employing a numerical approach. In addition, both thermal comfort and the amount
302
of energy used need consideration. Energy can only be said to have been optimized when less energy
303
is used and thermal comfort is provided in the human indoor environment.
AC C
EP
TE D
M AN U
SC
RI PT
288
304
18
ACCEPTED MANUSCRIPT
4. Conclusions
306
In this study, PCM was fabricated in the form of MPPCM with the aim of reducing the amount of
307
energy required for heating and improving the heat storage performance of dry floor heating, which
308
is mainly used in wooden houses. Organic PCMs, paraffinic n-octadecane, n-eicosane, and n-
309
docosane, were employed with respect to their phase change temperatures of 28°C to 35°C.
310
Experimental conditions were adapted to measure the heat storage performance relating to latent
311
heat according to phase changes and the reduction in the amount of heating energy consumed. Two
312
experiments were conducted to derive the results. The results of each experiment are as follows.
313
1) Layout test results for the DOWN_Case, where PCM is located lower than in the UP_Case (where
314
MPPCM is located on the upper part of the electrical panel), show a short and long heating and
315
cooling delay, respectively; therefore, instantaneous heating occurs by minimizing the heat transfer
316
time. The results also mean that most DOWN_Case can increase the efficiency of the heating energy.
317
Therefore, MPPCM should be constructed by placing the layer at the bottom of the tile, as in the
318
DOWN method, and a layer efficiency experiment was performed in this respect for each case.
319
2) Case_n-docosane was shown to be the most efficient in the layer efficiency test, and heating and
320
cooling times were analyzed through experiments. The efficiency of using sensible heat, sensible
321
heat and latent heat simultaneously, and only sensible heat immediately after electric film operation
AC C
EP
TE D
M AN U
SC
RI PT
305
19
ACCEPTED MANUSCRIPT
was compared and analyzed, and actual usage values were compared. The energy was found to be
323
used most efficiently with a shorter (longer) heating (cooling) time. For case n-octadecane, the result
324
showed a 9% decrease in power consumption due to the heat transfer of PCM only in the form of
325
sensible heat. Case_n-eicosane and Case_n-docosane had melting points of 36.4°C and 41.6°C,
326
respectively. The PCM used in this study was found to be capable of storing and discharging heat in
327
the form of latent heat, which was reduced heating energy by 43%.
328
This study shows that using PCM can reduce the amount of energy consumed in heating buildings,
329
and by applying MPPCM, the power consumption can be reduced from 8% to 43%. The largest
330
power reduction was seen when using n-docosane in Case_n-docosane. However, n-eicosane is
331
considered to be the most efficient when considering both power consumption and the floor comfort
332
temperature. Its use can reduce the amount of heating energy required because it improves the
333
otherwise poor storage capacity of dry floor heating, which is mainly used in wooden houses, and it
334
maintains the maximum temperature of the floor, thereby enabling more efficient use of energy. It is
335
considered both practical and feasible to employ n-eicosane in dry floor heating within wooden
336
buildings.
AC C
EP
TE D
M AN U
SC
RI PT
322
337
338
Acknowledgement
20
ACCEPTED MANUSCRIPT
This research was supported by Basic Science Research Program through the National Research
340
Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning
341
(2016R1A1A1A05921937). This research was supported by the Yonsei University Research Fund of
342
2018 (2018-22-0193).
RI PT
339
AC C
EP
TE D
M AN U
SC
343
21
ACCEPTED MANUSCRIPT
344
References
345
Alam, T.E., Dhau, J.S., Goswami, D.Y., Stefanakos, E., 2015. Macroencapsulation and characterization of phase change materials for latent heat thermal energy storage systems.
347
Appl. Energy 154, 92–101. https://doi.org/https://doi.org/10.1016/j.apenergy.2015.04.086
348
RI PT
346
Berardi, U., Soudian, S., 2019. Experimental investigation of latent heat thermal energy storage using PCMs with different melting temperatures for building retrofit. Energy Build. 185,
350
180–195. https://doi.org/https://doi.org/10.1016/j.enbuild.2018.12.016
Brandner, R., Flatscher, G., Ringhofer, A., Schickhofer, G., Thiel, A., 2016. Cross laminated timber
M AN U
351
SC
349
352
(CLT): overview and development. Eur. J. Wood Wood Prod. 74, 331–351.
353
https://doi.org/10.1007/s00107-015-0999-5
354
Chang, S.J., Kang, Y., Wi, S., Jeong, S.-G., Kim, S., 2017. Hygrothermal performance improvement of the Korean wood frame walls using macro-packed phase change materials (MPPCM).
356
Appl. Therm. Eng. 114, 457–465.
357
https://doi.org/https://doi.org/10.1016/j.applthermaleng.2016.11.188
TE D
355
Cui, H., Liao, W., Mi, X., Lo, T.Y., Chen, D., 2015a. Study on functional and mechanical properties
359
of cement mortar with graphite-modified microencapsulated phase-change materials. Energy
360
Build. 105, 273–284. https://doi.org/https://doi.org/10.1016/j.enbuild.2015.07.043
AC C
361
EP
358
Cui, H., Memon, S.A., Liu, R., 2015b. Development, mechanical properties and numerical
362
simulation of macro encapsulated thermal energy storage concrete. Energy Build. 96, 162–
363
174. https://doi.org/https://doi.org/10.1016/j.enbuild.2015.03.014
364
Cui, H., Tang, W., Qin, Q., Xing, F., Liao, W., Wen, H., 2017. Development of structural-functional
365
integrated energy storage concrete with innovative macro-encapsulated PCM by hollow steel
22
ACCEPTED MANUSCRIPT
366
ball. Appl. Energy 185, 107–118.
367
https://doi.org/https://doi.org/10.1016/j.apenergy.2016.10.072
369 370
de Gracia, A., Cabeza, L.F., 2015. Phase change materials and thermal energy storage for buildings.
RI PT
368
Energy Build. 103, 414–419. https://doi.org/https://doi.org/10.1016/j.enbuild.2015.06.007 Hasan, M.I., Basher, H.O., Shdhan, A.O., 2018. Experimental investigation of phase change materials for insulation of residential buildings. Sustain. Cities Soc. 36, 42–58.
372
https://doi.org/https://doi.org/10.1016/j.scs.2017.10.009
Huang, X., Zhu, C., Lin, Y., Fang, G., 2019. Thermal properties and applications of
M AN U
373
SC
371
374
microencapsulated PCM for thermal energy storage: A review. Appl. Therm. Eng. 147, 841–
375
855. https://doi.org/https://doi.org/10.1016/j.applthermaleng.2018.11.007
376
Jeong, S.-G., Chang, S.J., Wi, S., Kang, Y., Lim, J.-H., Chang, J.D., Kim, S., 2016a. Energy efficient concrete with n-octadecane/xGnP SSPCM for energy conservation in infrastructure. Constr.
378
Build. Mater. 106, 543–549.
379
https://doi.org/https://doi.org/10.1016/j.conbuildmat.2015.12.114
TE D
377
Jeong, S.-G., Jin Chang, S., Wi, S., Kang, Y., Lee, H., Kim, S., 2016b. Development of heat storage
381
gypsum board with paraffin-based mixed SSPCM for application to buildings. J. Adhes. Sci.
382
Technol. 31, 1–13. https://doi.org/10.1080/01694243.2016.1215011
EP
380
Kahouli, B., 2018. The causality link between energy electricity consumption, CO2 emissions, R&D
384
stocks and economic growth in Mediterranean countries (MCs). Energy 145, 388–399.
385
https://doi.org/https://doi.org/10.1016/j.energy.2017.12.136
AC C
383
386
Kim, B., 1993. A Study on the Optimum Thermal Environmental Conditions in floor Heating TT - A
387
Study on the Optimum Thermal Environmental Conditions in floor Heating. J. Korean Hous.
388
Assoc. 4, 55–62.
23
ACCEPTED MANUSCRIPT
389
Kim, S., Chang, S.J., Chung, O., Jeong, S.-G., Kim, S., 2014. Thermal characteristics of mortar containing hexadecane/xGnP SSPCM and energy storage behaviors of envelopes integrated
391
with enhanced heat storage composites for energy efficient buildings. Energy Build. 70, 472–
392
479. https://doi.org/https://doi.org/10.1016/j.enbuild.2013.11.087
393
RI PT
390
Krishna, J., Kishore, P.S., Solomon, A.B., 2017. Heat pipe with nano enhanced-PCM for electronic cooling application. Exp. Therm. Fluid Sci. 81, 84–92.
395
https://doi.org/https://doi.org/10.1016/j.expthermflusci.2016.10.014
Lee, J., Wi, S., Jeong, S.-G., Chang, S.J., Kim, S., 2017. Development of thermal enhanced n-
M AN U
396
SC
394
397
octadecane/porous nano carbon-based materials using 3-step filtered vacuum impregnation
398
method. Thermochim. Acta 655, 194–201.
399
https://doi.org/https://doi.org/10.1016/j.tca.2017.06.013
400
Lei, J., Yang, J., Yang, E.-H., 2016. Energy performance of building envelopes integrated with phase change materials for cooling load reduction in tropical Singapore. Appl. Energy 162,
402
207–217. https://doi.org/https://doi.org/10.1016/j.apenergy.2015.10.031
403
TE D
401
López-Pérez, L.A., Flores-Prieto, J.J., Ríos-Rojas, C., 2019. Adaptive thermal comfort model for educational buildings in a hot-humid climate. Build. Environ. 150, 181–194.
405
https://doi.org/https://doi.org/10.1016/j.buildenv.2018.12.011 Mi, X., Liu, R., Cui, H., Memon, S.A., Xing, F., Lo, Y., 2016. Energy and economic analysis of
AC C
406
EP
404
407
building integrated with PCM in different cities of China. Appl. Energy 175, 324–336.
408
https://doi.org/https://doi.org/10.1016/j.apenergy.2016.05.032
409
Nässén, J., Hedenus, F., Karlsson, S., Holmberg, J., 2012. Concrete vs. wood in buildings – An
410
energy system approach. Build. Environ. 51, 361–369.
411
https://doi.org/https://doi.org/10.1016/j.buildenv.2011.11.011
24
ACCEPTED MANUSCRIPT
412
Navarro, L., de Gracia, A., Castell, A., Álvarez, S., Cabeza, L.F., 2015. PCM incorporation in a concrete core slab as a thermal storage and supply system: Proof of concept. Energy Build.
414
103, 70–82. https://doi.org/https://doi.org/10.1016/j.enbuild.2015.06.028
415
RI PT
413
Novais, R.M., Ascensão, G., Seabra, M.P., Labrincha, J.A., 2015. Lightweight dense/porous PCMceramic tiles for indoor temperature control. Energy Build. 108, 205–214.
417
https://doi.org/https://doi.org/10.1016/j.enbuild.2015.09.019
418
SC
416
Panayiotou, G.P., Kalogirou, S.A., Tassou, S.A., 2016. Evaluation of the application of Phase Change Materials (PCM) on the envelope of a typical dwelling in the Mediterranean region.
420
Renew. Energy 97, 24–32. https://doi.org/https://doi.org/10.1016/j.renene.2016.05.043
421
Park, H.S., Ji, C., Hong, T., 2016. Methodology for assessing human health impacts due to pollutants
M AN U
419
422
emitted from building materials. Build. Environ. 95, 133–144.
423
https://doi.org/https://doi.org/10.1016/j.buildenv.2015.09.001
Ramage, M.H., Burridge, H., Busse-Wicher, M., Fereday, G., Reynolds, T., Shah, D.U., Wu, G., Yu,
TE D
424
L., Fleming, P., Densley-Tingley, D., Allwood, J., Dupree, P., Linden, P.F., Scherman, O.,
426
2017. The wood from the trees: The use of timber in construction. Renew. Sustain. Energy
427
Rev. 68, 333–359. https://doi.org/https://doi.org/10.1016/j.rser.2016.09.107
428
EP
425
Ren, Y., Xu, C., Yuan, M., Ye, F., Ju, X., Du, X., 2018. Ca(NO3)2-NaNO3/expanded graphite composite as a novel shape-stable phase change material for mid- to high-temperature
430
thermal energy storage. Energy Convers. Manag. 163, 50–58.
431
https://doi.org/https://doi.org/10.1016/j.enconman.2018.02.057
432
AC C
429
Rouault, F., Bruneau, D., Sebastian, P., Lopez, J., 2013. Numerical modelling of tube bundle thermal
433
energy storage for free-cooling of buildings. Appl. Energy 111, 1099–1106.
434
https://doi.org/https://doi.org/10.1016/j.apenergy.2013.05.055
25
ACCEPTED MANUSCRIPT
435
Safari, A., Saidur, R., Sulaiman, F.A., Xu, Y., Dong, J., 2017. A review on supercooling of Phase Change Materials in thermal energy storage systems. Renew. Sustain. Energy Rev. 70, 905–
437
919. https://doi.org/https://doi.org/10.1016/j.rser.2016.11.272
438
RI PT
436
Shannaq, R. Al, Farid, M.M., 2015. 10 - Microencapsulation of phase change materials (PCMs) for thermal energy storage systems, in: Cabeza, L.F. (Ed.), Advances in Thermal Energy Storage
440
Systems, Woodhead Publishing Series in Energy. Woodhead Publishing, pp. 247–284.
441
https://doi.org/https://doi.org/10.1533/9781782420965.2.247
Shin, M.S., Rhee, K.N., Ryu, S.R., Yeo, M.S., Kim, K.W., 2015. Design of radiant floor heating
M AN U
442
SC
439
443
panel in view of floor surface temperatures. Build. Environ. 92, 559–577.
444
https://doi.org/https://doi.org/10.1016/j.buildenv.2015.05.006
445
Singh, A., Syal, M., Grady, S.C., Korkmaz, S., 2010. Effects of Green Buildings on Employee Health and Productivity. Am. J. Public Health 100, 1665–1668.
447
https://doi.org/10.2105/AJPH.2009.180687
448
TE D
446
Tian, H., Wang, W., Ding, J., Wei, X., Huang, C., 2016. Preparation of binary eutectic chloride/expanded graphite as high-temperature thermal energy storage materials. Sol.
450
Energy Mater. Sol. Cells 149, 187–194.
451
https://doi.org/https://doi.org/10.1016/j.solmat.2015.12.038 Vicente, R., Silva, T., 2014. Brick masonry walls with PCM macrocapsules: An experimental
AC C
452
EP
449
453
approach. Appl. Therm. Eng. 67, 24–34.
454
https://doi.org/https://doi.org/10.1016/j.applthermaleng.2014.02.069
455
World Health Oranization, 1989. Indoor air quality: Organic pollutants. Environ. Tech. Letters. 9,
456
855-858.
457
https://doi.org/10.1080/09593338909384805
26
ACCEPTED MANUSCRIPT
458
Yang, Y.K., Kang, I.S., Chung, M.H., Kim, S., Park, J.C., 2017. Effect of PCM cool roof system on the reduction in urban heat island phenomenon. Build. Environ. 122, 411–421.
460
https://doi.org/https://doi.org/10.1016/j.buildenv.2017.06.015
461
RI PT
459
Zhang, Y., Li, X., Li, J., Ma, C., Guo, L., Meng, X., 2018. Solar-driven phase change
microencapsulation with efficient Ti4O7 nanoconverter for latent heat storage. Nano Energy
463
53, 579–586. https://doi.org/https://doi.org/10.1016/j.nanoen.2018.09.018
464
SC
462
Zhong, L., Zhang, X., Luan, Y., Wang, G., Feng, Y., Feng, D., 2014. Preparation and thermal properties of porous heterogeneous composite phase change materials based on molten
466
salts/expanded graphite. Sol. Energy 107, 63–73.
467
https://doi.org/https://doi.org/10.1016/j.solener.2014.05.019
M AN U
465
Zhu, Z.-Q., Huang, Y.-K., Hu, N., Zeng, Y., Fan, L.-W., 2018. Transient performance of a PCM-
469
based heat sink with a partially filled metal foam: Effects of the filling height ratio. Appl.
470
Therm. Eng. 128, 966–972.
471
https://doi.org/https://doi.org/10.1016/j.applthermaleng.2017.09.047
EP AC C
472
TE D
468
27
ACCEPTED MANUSCRIPT
473
Lists of Tables and Figures
474
Table 1. PCM thermal properties.
476
Table 2. Case definition of MPPCM.
477
Table 3. Comparison of heating delay and cooling delay of UP and DOWN of each MPPCM.
478
Table 4. Experimental results used to determine suitable MPPCM for use in dry floor heating.
479
480
M AN U
SC
RI PT
475
Figure 1. MPPCM preparation process.
482
Figure 2. Schematic diagram of dry floor heating composition. Units: [mm]
483
Figure 3. Measuring position of thermocouple.
484
Figure 4. Comparison between temperatures of UP and DOWN surfaces of ref. sample during
485
heating and cooling.
486
Figure 5. Comparison between the UP and DOWN temperatures during heating and cooling
487
of each case: (a) case n-octadecane, (b) case n-eicosane, (c) case n-docosane.
488
Figure 6. Temperature difference between UP and DOWN for each case.
489
Figure 7. Accumulation of temperature difference.
AC C
EP
TE D
481
490
28
ACCEPTED MANUSCRIPT
Figure 8. Melting and solidification processes occurring when heating each case: (a) case n-
492
octadecane, (b) case n-eicosane, (c) case n-docosane.
493
Figure 9. Comparison between heating and cooling times for each case.
494
Figure 10. Temperature change during first two hours.
495
Figure 11. Temperature changes between the 10th and 12th hours.
496
Figure 12. Calculated and measured energy use of each case.
M AN U
SC
RI PT
491
AC C
EP
TE D
497
29
ACCEPTED MANUSCRIPT
Table 1. PCM thermal properties. PCM
Peak melting point(°C)
Latent heat(kJ/kg)
n-octadecane
27.5
244
n-eicosane
36.4
247.3
n-docosane
41.6
243.2
499
Table 2. Case definition of MPPCM. Case
PCM Ref
without PCM
Octa
n-octadecane
Eico
n-eicosane
Doco
n-docosane
Ref
without PCM
Octa DOWN Eico
TE D
UP
504
n-eicosane
n-docosane
AC C
503
n-octadecane
EP
Doco 502
M AN U
501
SC
500
RI PT
498
30
ACCEPTED MANUSCRIPT
505
Table 3. Comparison of heating delay and cooling delay of UP and DOWN of each MPPCM. Heating delay (min)
Cooling delay (min)
ref
-
-
n-octadecane
127
7
n-eicosane
17
11
n-docosane
12
4
511 512
28
16
PCM
Energy use (W)
Reduction ratio (%)
Comfortable Time (min)
Order of dry floor heating suitability
n-octadecane
943
9
15
3
n-eicosane
674
35
183
1
n-docosane
TE D
Table 4. Experimental results used to determine suitable MPPCM for use in dry floor heating
595
43
34
2
EP
510
134
AC C
509
-
M AN U
507
508
∆t
RI PT
Case
SC
506
31
ACCEPTED MANUSCRIPT
513
Solid PCM
Liquid PCM
RI PT
Liquefaction At 60
M AN U
SC
Put in PCM in Package
Sealing by machine
515
516
AC C
514
Put in PCM in Package
EP
TE D
Cutting Unnecessary
Figure 1. MPPCM preparation process.
32
ACCEPTED MANUSCRIPT
517
Heating film
Film shield
(a) Layer component A
A
B
1000
1000
522
(c) Three dimensional array
Figure 2. Schematic diagram of dry floor heating composition. Units: [mm].
TE D
521
(c) Cross section A-A'
30
EP
520
(b) Plan view
25 25 10
AC C
519
25
M AN U
B
Finish
SC
Insulation
RI PT
518
33
ACCEPTED MANUSCRIPT
523 524
Finish
(3)
Film shield
Data logging
Heating layer
: thermocouple sensor
EP
Figure 3. Measuring position of thermocouple.
AC C
527
TE D
525 526
(1)
M AN U
Insulation
(2)
SC
Heating film MPPCM
RI PT
(4)
34
ACCEPTED MANUSCRIPT
Without_PCM_UP Without_PCM_DOWN
38
RI PT
36
32 30
SC
Temperature(℃)
34
28
24
M AN U
26
Heating 0
5
Cooling
10
15
20
Time(h)
528
TE D
531
heating and cooling.
EP
530
Figure 4. Comparison between temperatures of UP and DOWN surfaces of ref. sample during
AC C
529
35
ACCEPTED MANUSCRIPT
38
Octa_UP Octa_DOWN
(a) n-octadecane
RI PT
36
Temperature(℃)
34 32 30 28
SC
26 24
Eico_UP Eico_DOWN
(b) n-eicosane
M AN U
38 36
Temperature(℃)
34 32 30 28
TE D
26 24 38 36 34
EP
Temperature(℃)
Doco_UP Doco_DOWN
(c) n-docosane
32
AC C
30 28 26 24
0
Cooling
Heating 5
10
15
20
Time(h)
532 533
Figure 5. Comparison between the UP and DOWN temperatures during heating and cooling of each
36
ACCEPTED MANUSCRIPT
case: (a) case n-octadecane, (b) case n-eicosane, (c) case n-docosane.
RI PT
534
Octa Eico Doco
6
SC
4
2
0
-2
M AN U
Temperature difference / ? T (°C)
8
Heating 0
5
Cooling
10
15
20
Time(h)
EP
537
Figure 6. Temperature difference between UP and DOWN for each case.
AC C
536
TE D
535
37
ACCEPTED MANUSCRIPT
538
Octa Eico Doco
RI PT
3000 2500
SC
2000 1500 1000 500
M AN U
Sum of temperature difference / S? T
3500
Heating 0
5
Cooling
10
15
20
Time(h)
539
TE D EP
541
Figure 7. Accumulation of temperature difference.
AC C
540
38
ACCEPTED MANUSCRIPT
P_1 bottom P_2 P_3 P_4 top
44 (a) n-octadecane 42
38
RI PT
Temperature(℃)
40
36
comportable zone
34 32 30 28
SC
26 24
P_1 bottom P_2 P_3 P_4 top
44 (b) n-eicosane
M AN U
42 40
Temperature(℃)
3 hours
38 36
comportable zone
34 32 30 28
TE D
26 24
Cooling P_1 bottom P_2 P_3 P_4 top
44 (c) n-docosane 42
38 36
EP
Temperature(℃)
40
comportable zone
34 32
AC C
30 28 26 24
0
Cooling
Heating 5
10
15
20
542 543
Figure 8. Melting and solidification processes occurring when heating each case: (a) case n-
544
octadecane, (b) case n-eicosane, (c) case n-docosane. 39
ACCEPTED MANUSCRIPT
5.0
Heating time Cooling time
16 14
4.8
10 8
4.4
6
Time(min)
RI PT
4.6
4
4.2
SC
Time(min)
12
2
4.0
0
545 546
Octa
Eico
Doco
M AN U
Ref
Figure 9. Comparison between heating and cooling times for each case.
AC C
EP
TE D
547
40
ACCEPTED MANUSCRIPT
548
549
553
Doco
SC M AN U 1.0
Time(h)
1.5
2.0
Figure 10. Temperature change during first two hours.
EP
552
Eico
AC C
551
TE D
0.5
550
Octa
RI PT
Ref 36 34 32 30 28 26 36 34 ? ) 32 ? ( 30 e r 28 u t 26 a r e 36 p 34 m e T 32 30 28 26 36 34 32 30 28 26
41
ACCEPTED MANUSCRIPT
Ref
11.5
12.0
Figure 11. Temperature changes between the 10th and 12th hours.
TE D
558
11.0
Time(h)
EP
557
Doco
AC C
556
Eico
SC
554
M AN U
10.5
555
Octa
RI PT
36 34 32 30 28 26 36 34 ? ) 32 ? ( 30 e r 28 tu 26 a r e 36 p 34 m e T 32 30 28 26 36 34 32 30 28 26
42
ACCEPTED MANUSCRIPT
Measured Energy Use(Wh) Calculated Energy Use(Wh)
1000
9%
1030
600
943 741.92
734.99
400 674
510.76
200
595
0
559 560
Octa
Eico
487.64
Doco
M AN U
Ref
RI PT
43%
SC
Energy Use(Wh)
35% 800
Figure 12. Calculated and measured energy use of each case.
AC C
EP
TE D
561
43
ACCEPTED MANUSCRIPT
HIGHLIGHTS ▶ The energy saving effect was analyzed when applied to the dry floor heating of PCM. ▶ The heating method using electric energy was described and the energy used was expressed
RI PT
in kWh. ▶ The Cace_n-Doco thermal ability in dry floor heat is using reduce heating energy by 43%. ▶ The Cace_n-Eico thermal ability in dry floor heat is shown that the heating effect was more
AC C
EP
TE D
M AN U
SC
than 3 hours through latent heat.