Effect on Rotation Speed on Thermal Dehydration Characteristics of Waste Gypsum Particles in a Constant Volume Rotary Vessel by Heating

This study examined the thermal dehydration characteristics of CaSO4∙2H2O in a constant-volume rotary vessel. The experiment used CaSO4∙2H2O particles obtained from the crushed waste gypsum board. The particle size ranged from 850 to 2000 μm, and the experiment was carried out at varying rotation speeds of 1, 10, and 35 rpm, with the vessel temperature heated to 180 °C. Temperature and pressure inside the vessel were measured simultaneously using the thermocouple and the pressure sensor. The XRPD measurement analyzed the transition of CaSO4∙2H2O after the heating of particles. The result showed that the temperature growth rate was similar for high rotation speeds of 10 and 35 rpm, while periodic temperature changes occurred at the low rotation speed of 1 rpm. A distinguishing flow pattern was observed at the low rotation speed, and the particles inside the vessel collapsed periodically downward. This particle behavior was related to the temperature distribution of the rotation speed of 1 rpm. Additionally, the pressure in the vessel increased rapidly at higher rotation speeds. This trend indicates the desorption of the crystal water of CaSO4∙2H2O due to the increasing temperature in the case of high rotation speed. Also, the XRPD measurement results showed the appearance of CaSO4∙0.5H2O under the higher rotation speed conditions, and the mass fraction of CaSO4∙0.5H2O increased with the rotation speed. Overall, the present study suggests that rotation speed plays a crucial role in determining the heat conduction and heat transfer of particles in a constant-volume rotary vessel.


Introduction
The gypsum board is made of a gypsum core material and is covered on both sides with base paper to create a flat panel.This type of board is known for its excellent fire resistance, sound insulation, heat insulation, and workability, making it an ideal building material.Additionally, it is great to see that flue gas desulfurization gypsum and wastepaper are also used as raw materials for gypsum boards, making them excellent recycled materials.Due to these advantages, the gypsum board is extremely popular as an interior base material for building walls, floors, and ceilings, and its production volume is increasing in Japan.
On the other hand, the quantity of waste gypsum boards generated from ageing buildings is increasing significantly.Unfortunately, most of these waste gypsum boards are disposed of in landfills.As a result, it is now considered controlled industrial waste due to instances where hydrogen sulfide has been produced in final disposal sites that handle waste gypsum boards in various locations.Consequently, processing waste gypsum boards has become more expensive [1].Under these circumstances, ongoing efforts are being made to convert CaSO 4 •2H 2 O produced from waste gypsum boards into CaSO 4 •0.5H 2 O, which solidifies after being mixed with water and is used as a ground improvement material [2][3][4][5][6][7][8][9].
Generally, gypsum is transferred from CaSO 4 •2H 2 O to CaSO 4 •0.5H 2 O or CaSO 4 [10].Research is also underway on the conversion of gypsum on Mars [11].It is well known that a heating device converts CaSO 4 •2H 2 O to CaSO 4 •0.5H 2 O or CaSO 4 .Different heating devices such as rotary kilns [2] and electric furnaces [3,4] are commonly used, while farinfrared-type [5] devices have also been developed.For example, the gypsum is rotated and dispersed inside the kiln and dried using radiant heat from the burner flame and hot air in the case of a rotary kiln [2].In addition, CaSO 4 •2H 2 O, discharged by separating and crushing waste gypsum boards into paper and gypsum, has a broad particle size distribution ranging from 2 mm or less to several tens of micrometers.Therefore, it is crucial to treat gypsum boards via temperature management and heating control during the manufacturing process of CaSO 4 •0.5H 2 O [4].
Since CaSO 4 •0.5H 2 O solidifies with water, it is ideal to convert all CaSO 4 •2H 2 O to CaSO 4 •0.5H 2 O from the perspective of reusing gypsum.However, it has been pointed out that non-uniform heating of CaSO 4 •2H 2 O in the heating device occurs due to a large amount of CaSO 4 •2H 2 O being heated simultaneously [5,7].For this purpose, equipment using rotary kiln heating and a reacting tank have been developed [2].Although this method has improved the production rate of CaSO 4 •0.5H 2 O, some CaSO 4 •2H 2 O remains after heat treatment [2].This is because CaSO 4 •2H 2 O that is handled has a broad particle size distribution.Additionally, the drying characteristics of gypsum due to the heating applied to CaSO 4 •2H 2 O are unclear.Furthermore, the conversion characteristics of CaSO 4 •2H 2 O to CaSO 4 •0.5H 2 O have yet to be elucidated when temperature and pressure change.
This study evaluated the conversion characteristics of CaSO 4 •2H 2 O produced from waste gypsum boards to CaSO 4 •0.5H 2 O.The test equipment used was a closed constantvolume rotary heating device to vary the temperature, pressure, and rotational speed.This paper discusses the results of investigating the thermal dehydration properties of CaSO 4 •2H 2 O when the particle size and initial filling mass of gypsum are kept constant, and the heating temperature, pressure, and rotational speed inside the vessel are varied.

Experiment 2.1. Experimental Equipment
Figure 1 shows this study's schematic diagram of constant-volume rotary heating equipment.The rotating vessel in the figure has an elliptical shape, and the sealed state is achieved by closing the pressure valve and sample insertion port.In the experiment, CaSO 4 •2H 2 O was naturally filled into a vessel, which was sealed and heated while rotating.LP gas was used as the heating source.The rotational motion of the rotating vessel was provided using a motor, pulley, and belt.A thermocouple (Hakko Denki, Nagano, Japan) and a pressure sensor (Krone, KDM30, Tokyo, Japan) were used to measure the temperature and pressure inside the rotating vessel.The temperature and pressure data sampling frequency are 1 s and 1.98 s, respectively.The sampling frequency difference depends on the different types of data loggers used to measure the temperature and the pressure.In this measurement, the beginning of the recording time for these sensors was the same.Then, we could obtain the time history data of the temperature and the pressure inside the rotating vessel.In addition, qualitative and quantitative analyses were performed using an X-ray powder diffraction device (Rigaku, MiniFlex 600, Tokyo, Japan) to investigate the conversion state of gypsum after heating.
Materials 2024, 17, x FOR PEER REVIEW 3 of 14 using an X-ray powder diffraction device (Rigaku, MiniFlex 600, Tokyo, Japan) to investigate the conversion state of gypsum after heating.
Figure 1.Material heating equipment using a constant-volume rotary vessel.

Particles Used and Experimental Conditions
The particles used in this study were CaSO4•2H2O derived from a waste gypsum board, with a particle size of less than 2000 µm, collected from industrial waste treatment facilities in Okinawa Prefecture.In this study, the raw powder of CaSO4•2H2O was sieved to adjust the particle size to a range from 850 to 2000 µm.The material density was 2376 kg/m 3 .
The volume of the elliptical rotating container shown in Figure 1 was 1450 cm 3 .In this study, the initial filling mass of powder was 100 g.The fuel flow rate was set to 1.2 L/min.Heating experiments were conducted with the rotation speed set at 1, 10, and 35 rpm.

Conversion Characteristics of Gypsum
Figure 2 shows an example of the results of a heating experiment using constantvolume rotary heating equipment.The first vertical axis is the temperature inside the vessel, the second is the gauge pressure, and the horizontal axis is the heating time.The initial filling mass of particles was 100 g, the rotation speed was 35 rpm, and the heating end temperature was set to 100, 130, 150, and 180 °C.The figure shows that the slope of temperature and pressure against heating time is almost constant until around 300 s in region I.It is thought that an increase in internal energy due to heating occurred in this region.Next, in region II in the figure, the temperature gradient is almost constant as in region I, but there is a tendency for the pressure to increase from around 350 s.The temperature at this time was around 110 °C, and the pressure was increased.It is inferred that steam was generated in the vessel due to the desorption of crystallized water from CaSO4•2H2O [12].After that, in region III, from 450 s to around 530 s, the slopes of temperature and pressure concerning time are smaller than in region II.Since the internal temperature of the vessel in this region is between 130 °C and 150 °C, it is assumed that evaporation of the crystallized water of CaSO4•2H2O was active, and the state changed to CaSO4•0.5H2O.When further heating continued, the temperature and pressure inside the vessel rose rapidly, and it appeared that the vessel transitioned to a superheated steam state.
Figure 3 shows the results of the XRPD measurements.The peak intensities at 12° and 21° in the figure represent CaSO4•2H2O, and the 15° peak represents CaSO4•0.5H2O.Here, a temperature of 100 °C, 130 °C, 150 °C, and 180 °C corresponds to the results of

Particles Used and Experimental Conditions
The particles used in this study were CaSO 4 •2H 2 O derived from a waste gypsum board, with a particle size of less than 2000 µm, collected from industrial waste treatment facilities in Okinawa Prefecture.In this study, the raw powder of CaSO 4 •2H 2 O was sieved to adjust the particle size to a range from 850 to 2000 µm.The material density was 2376 kg/m 3 .
The volume of the elliptical rotating container shown in Figure 1 was 1450 cm 3 .In this study, the initial filling mass of powder was 100 g.The fuel flow rate was set to 1.2 L/min.Heating experiments were conducted with the rotation speed set at 1, 10, and 35 rpm.

Conversion Characteristics of Gypsum
Figure 2 shows an example of the results of a heating experiment using constantvolume rotary heating equipment.The first vertical axis is the temperature inside the vessel, the second is the gauge pressure, and the horizontal axis is the heating time.The initial filling mass of particles was 100 g, the rotation speed was 35 rpm, and the heating end temperature was set to 100, 130, 150, and 180 • C. The figure shows that the slope of temperature and pressure against heating time is almost constant until around 300 s in region I.It is thought that an increase in internal energy due to heating occurred in this region.Next, in region II in the figure, the temperature gradient is almost constant as in region I, but there is a tendency for the pressure to increase from around 350 s.The temperature at this time was around 110 • C, and the pressure was increased.It is inferred that steam was generated in the vessel due to the desorption of crystallized water from CaSO 4 •2H 2 O [12].After that, in region III, from 450 s to around 530 s, the slopes of temperature and pressure concerning time are smaller than in region II.Since the internal temperature of the vessel in this region is between 130 • C and 150 • C, it is assumed that evaporation of the crystallized water of CaSO 4 •2H 2 O was active, and the state changed to CaSO 4 •0.5H 2 O.When further heating continued, the temperature and pressure inside the vessel rose rapidly, and it appeared that the vessel transitioned to a superheated steam state.
comes to region III of 150 °C, the peak intensity of CaSO4•0.5H2Oexceeds the intensity of CaSO4•2H2O.Furthermore, it can be confirmed that only the peak of CaSO4•0.5H2Oappears when the heating temperature is up to 180 °C.As described above, using closed rotary heating equipment, this experiment could capture the conversion of CaSO4•2H2O to CaSO4•0.5H2O.

Effect of Rotation Speed on Conversion Characteristics of Gypsum
Figure 4 shows the relationship between the temperature and pressure inside the vessel against the heating time when the heating end temperature was 100 °C.In addition, Figure 5 indicates the XRPD measurement results where the rotation speed of the vessel was varied to 1, 10, and 35 rpm. Figure 4 shows that the temperature and pressure increased with a constant slope when the rotational speed was 10 and 35 rpm.On the other hand, it was confirmed that the temperature changed periodically under a rotation speed of 1 rpm.From the results in Figure 5, only the peak intensity of CaSO4•2H2O appeared when the heating temperature was 100 °C, and no effect of change in rotation speed was observed.

Effect of Rotation Speed on Conversion Characteristics of Gypsum
Figure 4 shows the relationship between the temperature and pressure inside the vessel against the heating time when the heating end temperature was 100 °C.In addition, Figure 5 indicates the XRPD measurement results where the rotation speed of the vessel was varied to 1, 10, and 35 rpm. Figure 4 shows that the temperature and pressure increased with a constant slope when the rotational speed was 10 and 35 rpm.On the other hand, it was confirmed that the temperature changed periodically under a rotation speed of 1 rpm.From the results in Figure 5, only the peak intensity of CaSO4•2H2O appeared when the heating temperature was 100 °C, and no effect of change in rotation speed was observed.

Effect of Rotation Speed on Conversion Characteristics of Gypsum
Figure 4 shows the relationship between the temperature and pressure inside the vessel against the heating time when the heating end temperature was 100 • C. In addition, Figure 5 indicates the XRPD measurement results where the rotation speed of the vessel was varied to 1, 10, and 35 rpm. Figure 4 shows that the temperature and pressure increased with a constant slope when the rotational speed was 10 and 35 rpm.On the other hand, it was confirmed that the temperature changed periodically under a rotation speed of 1 rpm.
From the results in Figure 5, only the peak intensity of CaSO 4 •2H 2 O appeared when the heating temperature was 100 • C, and no effect of change in rotation speed was observed.Table 1 shows the mass fraction of CaSO4•2H2O, CaSO4•0.5H2O, and CaSO4 at a heating end temperature of 100 °C and a rotation speed of 1, 10, and 35 rpm.Here, the mass fraction of each kind of gypsum was determined by Rietveld analysis.The conditions where the rotation speed and temperature are zero indicate the measurement data of the gypsum before heating.In addition, Figure 6 shows a graph comparing measured mass fractions organized by each rotation speed.As shown in the figure, when the heating end temperature was 100 °C, there was no significant difference in the mass fraction of gypsum even if the rotation speed changed.On the other hand, CaSO4•2H2O before heating contained CaSO4•0.5H2O and CaSO4.This is because the gypsum used in this study was a waste gypsum board, and it seems that these gypsums were generated during waste disposal.
Table 1.Results of the mass fraction of CaSO4•2H2O, CaSO4•0.5H2O, and CaSO4 using Rietveld analysis at a heating end temperature of 100 °C when the rotation speed was changed.Table 1 shows the mass fraction of CaSO4•2H2O, CaSO4•0.5H2O, and CaSO4 at a heating end temperature of 100 °C and a rotation speed of 1, 10, and 35 rpm.Here, the mass fraction of each kind of gypsum was determined by Rietveld analysis.The conditions where the rotation speed and temperature are zero indicate the measurement data of the gypsum before heating.In addition, Figure 6 shows a graph comparing measured mass fractions organized by each rotation speed.As shown in the figure, when the heating end temperature was 100 °C, there was no significant difference in the mass fraction of gypsum even if the rotation speed changed.On the other hand, CaSO4•2H2O before heating contained CaSO4•0.5H2O and CaSO4.This is because the gypsum used in this study was a waste gypsum board, and it seems that these gypsums were generated during waste disposal.
Table 1.Results of the mass fraction of CaSO4•2H2O, CaSO4•0.5H2O, and CaSO4 using Rietveld analysis at a heating end temperature of 100 °C when the rotation speed was changed.C and a rotation speed of 1, 10, and 35 rpm.Here, the mass fraction of each kind of gypsum was determined by Rietveld analysis.The conditions where the rotation speed and temperature are zero indicate the measurement data of the gypsum before heating.In addition, Figure 6 shows a graph comparing measured mass fractions organized by each rotation speed.As shown in the figure, when the heating end temperature was 100 • C, there was no significant difference in the mass fraction of gypsum even if the rotation speed changed.On the other hand, CaSO 4 •2H 2 O before heating contained CaSO 4 •0.5H 2 O and CaSO 4 .This is because the gypsum used in this study was a waste gypsum board, and it seems that these gypsums were generated during waste disposal.Figure 7 shows the relationship between the temperature and pressure inside the vessel when the heating end temperature was 130 °C. Figure 8 shows the results of the XRPD measurement.The rotation speed of the vessel was 1, 10, and 35 rpm.In Figure 7, the temperature gradient in region I appears almost constant when the rotation speed is 10 and 35 rpm.On the other hand, periodic changes in the temperature curve were confirmed under a rotation speed of 1 rpm.In region II, there was a tendency for the pressure to increase at all rotational speeds.From the XRPD measurement results in Figure 8, CaSO4•0.5H2Ocan be confirmed at all rotation speeds.This result indicates that the desorption of crystallized water from the CaSO4•2H2O has begun.Figure 7 shows the relationship between the temperature and pressure inside the vessel when the heating end temperature was 130 • C. Figure 8 shows the results of the XRPD measurement.The rotation speed of the vessel was 1, 10, and 35 rpm.In Figure 7, the temperature gradient in region I appears almost constant when the rotation speed is 10 and 35 rpm.On the other hand, periodic changes in the temperature curve were confirmed under a rotation speed of 1 rpm.In region II, there was a tendency for the pressure to increase at all rotational speeds.From the XRPD measurement results in Figure 8, CaSO 4 •0.5H 2 O can be confirmed at all rotation speeds.This result indicates that the desorption of crystallized water from the CaSO   Figure 7 shows the relationship between the temperature and pressure inside the vessel when the heating end temperature was 130 °C. Figure 8 shows the results of the XRPD measurement.The rotation speed of the vessel was 1, 10, and 35 rpm.In Figure 7, the temperature gradient in region I appears almost constant when the rotation speed is 10 and 35 rpm.On the other hand, periodic changes in the temperature curve were confirmed under a rotation speed of 1 rpm.In region II, there was a tendency for the pressure to increase at all rotational speeds.From the XRPD measurement results in Figure 8, CaSO4•0.5H2Ocan be confirmed at all rotation speeds.This result indicates that the desorption of crystallized water from the CaSO4•2H2O has begun.Table 2 shows the mass fractions of CaSO4•2H2O, CaSO4•0.5H2O, and CaSO4 under the conditions that the heating end temperature was 130 °C and the rotation speed was 1, 10, and 35 rpm.In addition, Figure 9 shows the mass fraction of gypsum organized at each rotation speed.The figure shows that the mass fraction of CaSO4•2H2O at a rotation speed of 1 rpm decreased by 12.33% compared to without rotation.Additionally, the mass fraction of CaSO4•0.5H2Oincreased by 5.63% under the same condition.Next, no significant change in the mass fractions of CaSO4•2H2O can be confirmed between 1 rpm and 10 rpm rotation speeds.When the results of the rotation speeds of 1 rpm and 35 rpm were compared, the mass fraction of CaSO4•2H2O at a rotation speed of 35 rpm decreased by 9.52% compared to the result of the rotation speed of 1 rpm.Furthermore, the mass fraction of CaSO4•0.5H2O with a rotation speed of 35 rpm was 9.27% higher.These results show that although the amount is small, conversion from CaSO4•2H2O to CaSO4•0.5H2O begins when the heating end temperature is 130 °C.Table 2 shows the mass fractions of CaSO4•2H2O, CaSO4•0.5H2O, and CaSO4 und the conditions that the heating end temperature was 130 °C and the rotation speed was 10, and 35 rpm.In addition, Figure 9 shows the mass fraction of gypsum organized at ea rotation speed.The figure shows that the mass fraction of CaSO4•2H2O at a rotation spe of 1 rpm decreased by 12.33% compared to without rotation.Additionally, the mass fr tion of CaSO4•0.5H2Oincreased by 5.63% under the same condition.Next, no significa change in the mass fractions of CaSO4•2H2O can be confirmed between 1 rpm and 10 rp rotation speeds.When the results of the rotation speeds of 1 rpm and 35 rpm were co pared, the mass fraction of CaSO4•2H2O at a rotation speed of 35 rpm decreased by 9.5 compared to the result of the rotation speed of 1 rpm.Furthermore, the mass fraction CaSO4•0.5H2O with a rotation speed of 35 rpm was 9.27% higher.These results show th although the amount is small, conversion from CaSO4•2H2O to CaSO4•0.5H2O begins wh the heating end temperature is 130 °C.Table 2. Results of the mass fraction of CaSO4•2H2O, CaSO4•0.5H2O, and CaSO4 using Rietveld an ysis at a heating end temperature of 130 °C when the rotation speed was changed.Figure 10 shows the relationship between the temperature and pressure inside the rotary vessel and the heating time when the heating end temperature was 150 • C. Figure 11 shows the XRPD measurement results.The rotation speed of the vessel was varied between 1, 10, and 35 rpm.From Figure 10, periodic temperature changes were confirmed when the rotation speed was 1 rpm, similar to the heating end temperatures of 100 • C and 130 • C. The slope of temperature and pressure in region III tended to decrease more than in region II.Here, the pressure under a rotation speed of 35 rpm was higher than that under a low rotation speed.This suggests that the desorption of crystallized water from gypsum is promoted under conditions of high rotational speed.The XRPD results in Figure 11  Figure 10 shows the relationship between the temperature and pressure inside the rotary vessel and the heating time when the heating end temperature was 150 °C. Figure 11 shows the XRPD measurement results.The rotation speed of the vessel was varied between 1, 10, and 35 rpm.From Figure 10, periodic temperature changes were confirmed when the rotation speed was 1 rpm, similar to the heating end temperatures of 100 °C and 130 °C.The slope of temperature and pressure in region III tended to decrease more than in region II.Here, the pressure under a rotation speed of 35 rpm was higher than that under a low rotation speed.This suggests that the desorption of crystallized water from gypsum is promoted under conditions of high rotational speed.The XRPD results in Fig- ure 11 also show that the peak intensity of CaSO4•0.5H2Oincreased as the rotation speed increased.Table 3 shows the mass fractions of CaSO4•2H2O, CaSO4•0.5H2O, and CaSO4 when the heating end temperature was 150 °C and the rotation speed was varied.Figure 12   Figure 10 shows the relationship between the temperature and pressure inside the rotary vessel and the heating time when the heating end temperature was 150 °C. Figure 11 shows the XRPD measurement results.The rotation speed of the vessel was varied between 1, 10, and 35 rpm.From Figure 10, periodic temperature changes were confirmed when the rotation speed was 1 rpm, similar to the heating end temperatures of 100 °C and 130 °C.The slope of temperature and pressure in region III tended to decrease more than in region II.Here, the pressure under a rotation speed of 35 rpm was higher than that under a low rotation speed.This suggests that the desorption of crystallized water from gypsum is promoted under conditions of high rotational speed.The XRPD results in Fig- ure 11 also show that the peak intensity of CaSO4•0.5H2Oincreased as the rotation speed increased.Table 3 shows the mass fractions of CaSO4•2H2O, CaSO4•0.5H2O, and CaSO4 when the heating end temperature was 150 °C and the rotation speed was varied.Figure 12     the results of the mass fraction of gypsum at each rotation speed.The figure shows that when the heating end temperature was 150 °C and the rotation speed was 1 rpm, the mass fraction of CaSO4•0.5H2O was 38.58%, indicating that CaSO4•2H2O was converted to CaSO4•0.5H2O.Next, there was no significant difference in the mass fractions of CaSO4•0.5H2O when the rotation speeds were 10 rpm and 35 rpm.On the other hand, these mass fractions of CaSO4•0.5H2Oincreased by about 13% compared to the result of the rotation speed of 1 rpm.The above results show that the conversion from CaSO4•2H2O to CaSO4•0.5H2O is promoted by increasing the rotation speed.
Table 3. Results of the mass fraction of CaSO4•2H2O, CaSO4•0.5H2O, and CaSO4 using Rietveld analysis at a heating end temperature of 150 °C when the rotation speed was changed.Figure 13 shows the relationship between the temperature and pressure inside the vessel concerning the heating time with the heating end temperature set at 180 °C. Figure 14 shows the results of the XRPD analysis at rotation speeds of 1, 10, and 35 rpm.In Figure 13, when the heating end temperature reaches 180 °C, the temperature and pressure gradients increase in region IV.In particular, the results show that the pressure increases rapidly as the rotation speed increases.As can be seen from the enlarged view of Figure 14b, under high rotational speed conditions, the peak intensity of CaSO4•2H2O no longer exists, and the conversion from CaSO4•2H2O to CaSO4•0.5H2O is promoted.Figure 13 shows the relationship between the temperature and pressure inside the vessel concerning the heating time with the heating end temperature set at 180 • C. Figure 14 shows the results of the XRPD analysis at rotation speeds of 1, 10, and 35 rpm.In Figure 13, when the heating end temperature reaches 180 • C, the temperature and pressure gradients increase in region IV.In particular, the results show that the pressure increases rapidly as the rotation speed increases.As can be seen from the enlarged view of Figure 14b, under high rotational speed conditions, the peak intensity of CaSO       15, when the heating end temperature was 180 • C and the rotation speed was 1 rpm, the mass fraction of CaSO 4 •2H 2 O was 7.27% and CaSO 4 •0.5H 2 O was 91.48%.This result shows that almost all CaSO 4 •2H 2 O was converted to CaSO 4 •0.5H 2 O under a rotation speed of 1 rpm.Furthermore, the 10 and 35 rpm results show a lower mass fraction of CaSO 4 •2H 2 O than the result of the rotation speed of 1rpm.Here, under these conditions, the mass fraction of CaSO 4 increased while CaSO 4 •0.5H 2 O decreased.These results show that increasing the rotation speed promotes the thermal dehydration of gypsum and that CaSO 4 •0.5H 2 O begins to be converted to CaSO 4 .The above results confirm that increasing the rotation speed accelerates the heat conduction and heat transfer of the particles in the vessel [13].Table 4 shows the mass fractions of CaSO4•2H2O, CaSO4•0.5H2O, and CaSO4 und conditions where the heating end temperature was 180 °C and the rotation speed w varied.Figure 15 summarizes the mass fractions of CaSO4•2H2O, CaSO4•0.5H2O, an CaSO4 at each rotation speed.As shown in Figure 15, when the heating end temperatu was 180 °C and the rotation speed was 1 rpm, the mass fraction of CaSO4•2H2O was 7.27 and CaSO4•0.5H2O was 91.48%.This result shows that almost all CaSO4•2H2O was co verted to CaSO4•0.5H2O under a rotation speed of 1 rpm.Furthermore, the 10 and 35 rp results show a lower mass fraction of CaSO4•2H2O than the result of the rotation speed 1rpm.Here, under these conditions, the mass fraction of CaSO4 increased whi CaSO4•0.5H2Odecreased.These results show that increasing the rotation speed promot the thermal dehydration of gypsum and that CaSO4•0.5H2Obegins to be converted CaSO4.The above results confirm that increasing the rotation speed accelerates the he conduction and heat transfer of the particles in the vessel [13].Here, the results of temperature distribution in relation to heating time will be co sidered.A wave-like periodic temperature change was observed at a rotation speed of rpm.On the other hand, no frequent temperature changes were observed when the rot tion speed was 10 rpm or higher.This difference in temperature change at different rot tion speeds is related to the gypsum's rotational flow inside the vessel.Therefore, we o served the flow pa ern of the gypsum inside the rotating vessel.
Figure 16a shows a snapshot of the inside of the rotating vessel.Figure 16b,c sho the schematic diagrams of particle flow based on Figure 16a.As a result, it was confirme that in a rotating vessel, the gypsum rose along the vessel wall as the vessel rotated.Aft that, the particles collapsed and returned to the bo om of the vessel when they reached certain height.Here, it was found that gypsum particle collapse occurred periodically u der low rotational speed conditions, whereas under conditions over 10 rpm, it occurre Here, the results of temperature distribution in relation to heating time will be considered.A wave-like periodic temperature change was observed at a rotation speed of 1 rpm.On the other hand, no frequent temperature changes were observed when the rotation speed was 10 rpm or higher.This difference in temperature change at different rotation speeds is related to the gypsum's rotational flow inside the vessel.Therefore, we observed the flow pattern of the gypsum inside the rotating vessel.
Figure 16a shows a snapshot of the inside of the rotating vessel.Figure 16b,c show the schematic diagrams of particle flow based on Figure 16a.As a result, it was confirmed that in a rotating vessel, the gypsum rose along the vessel wall as the vessel rotated.After that, the particles collapsed and returned to the bottom of the vessel when they reached a certain height.Here, it was found that gypsum particle collapse occurred periodically under low rotational speed conditions, whereas under conditions over 10 rpm, it occurred continuously.It is thought that changes in temperature behavior appeared depending on differences in how the gypsum particles inside the vessel collapsed.Figure 17 shows the relationship between the internal pressure of the vessel and the heating end temperature when the rotation speed is varied.Furthermore, Figure 18 shows the relationship between the internal pressure of the vessel and the rotation speed at each heating end temperature.Both figures show that the ultimate pressure inside the vessel increased as the heating end temperature and rotation speed increased.This is because the rotation given to the vessel filled with gypsum promoted the flowability and heat conduction of the gypsum particles, leading to the active desorption of crystallized water.Also, as shown in Figure 18, the pressure of the vessel increased as the rotation speed increased until the rotation speed was around 10 rpm.On the other hand, when the speed exceeded 10 rpm, the growth rate of pressure tended to decrease.This trend suggests a limit to the rotation speed for promoting thermal dehydration.Figure 17 shows the relationship between the internal pressure of the vessel and the heating end temperature when the rotation speed is varied.Furthermore, Figure 18 shows the relationship between the internal pressure of the vessel and the rotation speed at each heating end temperature.Both figures show that the ultimate pressure inside the vessel increased as the heating end temperature and rotation speed increased.This is because the rotation given to the vessel filled with gypsum promoted the flowability and heat conduction of the gypsum particles, leading to the active desorption of crystallized water.Also, as shown in Figure 18, the internal pressure of the vessel increased as the rotation speed increased until the rotation speed was around 10 rpm.On the other hand, when the rotational speed exceeded 10 rpm, the growth rate of pressure tended to decrease.This trend suggests a limit to the rotation speed for promoting thermal dehydration.
Materials 2024, 17, x FOR PEER REVIEW 13 o Figure 17.Relationship between the pressure in the rotary vessel and the heating end temperat when the rotation speed was changed.
Figure 18.Relationship between the pressure in the rotary vessel and the rotation speed when heating end temperature was changed.

Conclusions
This study investigated the thermal dehydration characteristics of CaSO4•2H2O us constant-volume rotary heating equipment.The results obtained are shown below.
(1) It was confirmed that the temperature distribution against the heating time chang due to the difference in the flow pattern of particles in a rotary vessel when the ro tion speed was varied.(2) Temperature and pressure distribution in regions I to IV depends on the detachm of crystallized water from the gypsum.It was found that the desorption of gypsum crystal water was promoted when rotary vessel's rotation speed was increased.As a noteworthy point, the pressure side the vessel in region IV increased rapidly.The result indicates that the crystalliz water was released from the gypsum.(4) We obtained the conversion characteristics of CaSO4•2H2O to CaSO4•0.5H2O usin constant-volume rotary vessel.In the present heating equipment, the mass fract  Figure 18.Relationship between the pressure in the rotary vessel and the rotation speed when heating end temperature was changed.

Conclusions
This study investigated the thermal dehydration characteristics of CaSO4•2H2O us constant-volume rotary heating equipment.The results obtained are shown below.

Conclusions
This study investigated the thermal dehydration characteristics of CaSO 4 •2H 2 O using constant-volume rotary heating equipment.The results obtained are shown below.
(1) It was confirmed that the temperature distribution against the heating time changed due to the difference in the flow pattern of particles in a rotary vessel when the rotation speed was varied.(2) Temperature and pressure distribution in regions I to IV depends on the detachment of crystallized water from the gypsum.(3) It was found that the desorption of gypsum crystal water was promoted when the rotary vessel's rotation speed was increased.As a noteworthy point, the pressure inside the vessel in region IV increased rapidly.The result indicates that the crystallized water was released from the gypsum.(4) We obtained the conversion characteristics of CaSO 4 •2H 2 O to CaSO 4 •0.5H 2 O using a constant-volume rotary vessel.In the present heating equipment, the mass fraction of CaSO 4 •0.5H 2 O increased when the temperature was 180 • C and rotation was applied.

Figure 1 .
Figure 1.Material heating equipment using a constant-volume rotary vessel.

Figure 2 .
Figure 2. Time histories of temperature and pressure inside the rotary vessel.

Figure 2 .
Figure 2. Time histories of temperature and pressure inside the rotary vessel.

Figure 3
Figure 3 shows the results of the XRPD measurements.The peak intensities at 12 • and 21 • in the figure represent CaSO 4 •2H 2 O, and the 15 • peak represents CaSO 4 •0.5H 2 O. Here, a temperature of 100 • C, 130 • C, 150 • C, and 180 • C corresponds to the results of regions I, II, III, and IV.The measurement result before heating indicates the original particles.As shown in the figure, the result of region I at a temperature of 100 • C maintains the state of CaSO 4 •2H 2 O, similar to the original particles.When the temperature reaches 130 • C of region II, the peak intensity of CaSO 4 •0.5H 2 O appears.When the temperature comes to region III of 150 • C, the peak intensity of CaSO 4 •0.5H 2 O exceeds the intensity of CaSO 4 •2H 2 O. Furthermore, it can be confirmed that only the peak of CaSO 4 •0.5H 2 O appears when the heating temperature is up to 180 • C. As described above, using closed rotary heating equipment, this experiment could capture the conversion of CaSO 4 •2H 2 O to CaSO 4 •0.5H 2 O.
aterials 2024, 17, x FOR PEER REVIEW 4 of 14 regions I, II, III, and IV.The measurement result before heating indicates the original particles.As shown in the figure, the result of region I at a temperature of 100 °C maintains the state of CaSO4•2H2O, similar to the original particles.When the temperature reaches 130 °C of region II, the peak intensity of CaSO4•0.5H2Oappears.When the temperature comes to region III of 150 °C, the peak intensity of CaSO4•0.5H2Oexceeds the intensity of CaSO4•2H2O.Furthermore, it can be confirmed that only the peak of CaSO4•0.5H2Oappears when the heating temperature is up to 180 °C.As described above, using closed rotary heating equipment, this experiment could capture the conversion of CaSO4•2H2O to CaSO4•0.5H2O.

Figure 2 .
Figure 2. Time histories of temperature and pressure inside the rotary vessel.

Figure 4 .
Figure 4. Time histories of temperature and pressure inside the rotary vessel at a heating end temperature of 100 °C when the rotation speed was changed.

Figure 5 .
Figure 5. XRPD measurement results at a heating end temperature of 100 °C when the rotation speed was changed.

Figure 4 . 14 Figure 4 .
Figure 4. Time histories of temperature and pressure inside the rotary vessel at a heating end temperature of 100 • C when the rotation speed was changed.

Figure 5 .
Figure 5. XRPD measurement results at a heating end temperature of 100 °C when the rotation speed was changed.

Figure 5 .
Figure 5. XRPD measurement results at a heating end temperature of 100 • C when the rotation speed was changed.

Figure 6 .
Figure 6.Relationship between the transferring mass fraction of gypsum and the rotation speed of the rotary vessel at a heating end temperature of 100 °C.

Figure 7 .Figure 6 .
Figure 7. Time histories of temperature and pressure inside the rotary vessel at a heating end temperature of 130 °C when the rotation speed was changed.

Figure 6 .
Figure 6.Relationship between the transferring mass fraction of gypsum and the rotation speed of the rotary vessel at a heating end temperature of 100 °C.

Figure 7 .Figure 7 .
Figure 7. Time histories of temperature and pressure inside the rotary vessel at a heating end temperature of 130 °C when the rotation speed was changed.

Figure 8 .
Figure 8. XRPD measurement results at a heating end temperature of 130 °C when the rotation speed was changed.

Figure 9 .Figure 8 .
Figure 9. Relationship between the transferring mass fraction of gypsum and the rotation speed of the rotary vessel at a heating end temperature of 130 °C.Table2.Results of the mass of CaSO4•2H2O, CaSO4•0.5H2O, and CaSO4 using Rietveld analysis at a heating end temperature of 130 °C when the rotation speed was changed.N (rpm)T (°C) CaSO4•2H2O ϕm (%)

Figure 8 .
Figure 8. XRPD measurement results at a heating end temperature of 130 °C when the rotation spe was changed.

Figure 9 .
Figure 9. Relationship between the transferring mass fraction of gypsum and the rotation speed the rotary vessel at a heating end temperature of 130 °C.

Figure 9 .
Figure 9. Relationship between the transferring mass fraction of gypsum and the rotation speed of the rotary vessel at a heating end temperature of 130 • C.

Figure 10 .
Figure 10.Time histories of temperature and pressure inside the rotary vessel at a heating end temperature of 150 °C when the rotation speed was changed.

Figure 11 .
Figure 11.XRPD measurement results at a heating end temperature of 150 °C when the rotation speed was changed.

Figure 10 .
Figure 10.Time histories of temperature and pressure inside the rotary vessel at a heating end temperature of 150 • C when the rotation speed was changed.

Figure 10 .
Figure 10.Time histories of temperature and pressure inside the rotary vessel at a heating end temperature of 150 °C when the rotation speed was changed.

Figure 11 .
Figure 11.XRPD measurement results at a heating end temperature of 150 °C when the rotation speed was changed.

11 .
XRPD measurement results at a heating end temperature of 150 • C when the rotation speed was changed.
Figure 12   shows the results of the mass fraction of gypsum at each rotation speed.The figure shows that when the heating end temperature was 150 • C and the rotation speed was 1 rpm, the mass fraction of CaSO 4 •0.5H 2 O was 38.58%, indicating that CaSO 4 •2H 2 O was converted to CaSO 4 •0.5H 2 O. Next, there was no significant difference in the mass fractions of CaSO 4 •0.5H 2 O when the rotation speeds were 10 rpm and 35 rpm.On the other hand, these mass fractions of CaSO 4 •0.5H 2 O increased by about 13% compared to the result of the rotation speed of 1 rpm.The above results show that the conversion from CaSO 4 •2H 2 O to CaSO 4 •0.5H 2 O is promoted by increasing the rotation speed.

Figure 12 .
Figure 12.Relationship between the transferring mass fraction of gypsum and the rotation speed of the rotary vessel at a heating end temperature of 150 °C.

Figure 12 .
Figure 12.Relationship between the transferring mass fraction of gypsum and the rotation speed of the rotary vessel at a heating end temperature of 150 • C.

Figure 13 .Figure 14 .
Figure 13.Time histories of temperature and pressure inside the rotary vessel at a heating end temperature of 180 °C when the rotation speed was changed.

Figure 13 . 14 Figure 13 .Figure 14 .
Figure 13.Time histories of temperature and pressure inside the rotary vessel at a heating end temperature of 180 • C when the rotation speed was changed.

Figure 14 .
Figure 14.XRPD measurement results at a heating end temperature of 180 • C when the rotation speed was changed; (a) Normal figure; (b) Enlarged figure.

Figure 15 .
Figure 15.Relationship between the transferring mass fraction of gypsum and the rotation speed the rotary vessel at a heating temperature of 180 °C.

Figure 15 .
Figure 15.Relationship between the transferring mass fraction of gypsum and the rotation speed of the rotary vessel at a heating temperature of 180 • C.

Materials 2024 ,
Figure 16.Typical flow pa ern of gypsum particles in a rotating vessel.

Figure 16 .
Figure 16.Typical flow pattern of gypsum particles in a rotating vessel.

Figure 17 .
Figure17.Relationship between the pressure in the rotary vessel and the heating end temperature when the rotation speed was changed.

Figure 17 .
Figure17.Relationship between the pressure in the rotary vessel and the heating end temperat when the rotation speed was changed.

( 1 )Figure 18 .
Figure18.Relationship between the pressure in the rotary vessel and the rotation speed when the heating end temperature was changed.

Table 1
shows the mass fraction of CaSO 4 •2H 2 O, CaSO 4 •0.5H 2 O, and CaSO 4 at a heating end temperature of 100

Table 1 .
Results of the mass fraction of CaSO 4 •2H 2 O, CaSO 4 •0.5H 2 O, and CaSO 4 using Rietveld analysis at a heating end temperature of 100 • C when the rotation speed was changed.

Table 2 .
Results of the mass fraction of CaSO 4 •2H 2 O, CaSO 4 •0.5H 2 O, and CaSO 4 using Rietveld analysis at a heating end temperature of 130 • C when the rotation speed was changed.
also show that the peak intensity of CaSO 4 •0.5H 2 O increased as the rotation speed increased.

Table 3
shows the mass fractions of CaSO 4 •2H 2 O, CaSO 4 •0.5H 2 O, and CaSO 4 when the heating end temperature was 150 • C and the rotation speed was varied.

Table 3 .
Results of the mass fraction of CaSO 4 •2H 2 O, CaSO 4 •0.5H 2 O, and CaSO 4 using Rietveld analysis at a heating end temperature of 150 • C when the rotation speed was changed. 4 •2H 2 O no longer exists, and the conversion from CaSO 4 •2H 2 O to CaSO 4 •0.5H 2 O is promoted.

Table 4
shows the mass fractions of CaSO 4•2H 2 O, CaSO 4 •0.5H 2 O, and CaSO 4 under conditions where the heating end temperature was 180 • C and the rotation speed was varied.Figure 15 summarizes the mass fractions of CaSO 4 •2H 2 O, CaSO 4 •0.5H 2 O, and CaSO 4 at each rotation speed.As shown in Figure

Table 4 .
Results of the mass fraction of CaSO 4 •2H 2 O, CaSO 4 •0.5H 2 O, and CaSO 4 using Rietveld analysis at a heating end temperature of 180 • C when the rotation speed was changed.

Table 4 .
Results of the mass fraction of CaSO4•2H2O, CaSO4•0.5H2O, and CaSO4 using Rietveld an ysis at a heating end temperature of 180 °C when the rotation speed was changed.