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1. Experimental Setup
NOTE: The adsorption refrigeration system was composed of the adsorption bed, the evaporator, the condenser, the vacuum pump, and the solar trough collector (Figure 1). An automatic solar tracking device with a parabolic trough was manufactured and applied in the system to improve the efficiency of the solar collector. The automatic solar tracking trough was driven by the worm-gear device as shown in Figure 2. The device consisted of the stepper motor, the worm, the gear, the moving limit block, and the manual wheel. The dimensions of the worm-gear device were 21 x 80 cm2. The trough collector concentrated the solar rays onto the adsorbent bed, which was located along the focus line of the parabolic trough.

Figure 1: Experimental system for solar adsorption refrigeration. (Top) Schematic of the system; (bottom) Photograph of the experimental setup. The top panel presents the components of the experimental system, which involves the evaporator, the condenser, the vacuum pump, etc. The bottom panel displays the photograph of the assembled adsorption refrigeration system. In the system, the evaporator and the condenser is of the fin-tube structure, a kind of compact heat exchanger. The adsorption bed is reformed from a vacuum solar collector, which can capture solar energy effectively. Please click here to view a larger version of this figure.

Figure 2: The structure of the worm gear box. The worm gear box is the device that transforms the rotation of the stepper motor into the solar tracking movement of the parabolic trough. In addition to the stepper motor, the worm gear box also involves the reducer, the manual wheel, the worm shaft, etc. Pulling the manual/automatic switch handle to the left, gears 5a and 5b are disengaged. Thus, the trough can be manually controlled by rotating the hand wheel. Pulling the manual/automatic switch handle to the right, gears 5a and 5b are engaged together. Thus, it is controlled automatically by the stepper motor.
- Connect the tracking solar collector to the worm-wheel shaft by a welding method. Pass the rotation of the stepper motor to the solar collector by matching the gear and the worm. Fix the tubular adsorption bed together with the collector with a pair of pipe collars.
NOTE: Driven by the stepper motor, the system rotates daily from the east to the west to follow the solar movement automatically.
- Adjust the tilting angle of the trough to ground level, according to the variation of the solar altitude in different seasons. Determine the tilting angle β of the trough by the local latitude Φ and the solar declination δ, and the formula β = Φ - δ. Manually rotate the little wheel that is located at the bottom of the angle adjustment lever to regulate the tilting angle of the trough (the part of No. 13, Figure 1).
NOTE: In this way, the solar radiation is as normal as possible on the trough. The experimental system was located in the campus of Beijing University of Technology, at the latitude 39.89 °N and longitude 116.38 °E. The adsorption bed took a cylindrical form. It was reformed from a vacuum solar receiver of a tube (Figure 3).

Figure 3: Structure of the adsorption bed and the deployment of the temperature probe. (Top) Schematic of the bed structure; (bottom) The temperature probes and the mass transfer channel in the bed. The top panel shows the basic structure of the bed. The adsorbent material is put into the annular cavity between the solar-absorbing tube and the copper cooling channel. The solar rays penetrate the glass tube and fall onto the surface of the solar-absorbing tube. Then, by heat conduction, the solar energy is transferred to the adsorbent material inside the bed. The bottom panel shows the location of the temperature probes. These probes are used to monitor the temperature change of the bed during the adsorption/desorption process. Please click here to view a larger version of this figure.
- To promote the capture of the solar energy, coat the solar-absorbing tube of the bed, (made of stainless steel with d = 64.5 mm) with a layer of black chrome deposit by the vacuum coating method. Please refer to the previously published literature about selective coating for more information about this technique13. Ensure that the solar absorption rate of the coating layer is 0.95, the infrared emissivity is 0.15, and the thickness of the coating layer is 0.08 mm.
NOTE: This coating layer helps to catch the solar radiation effectively but emits very slightly itself. As a result, the solar energy gets into the adsorption bed easily and is transformed to thermal enthalpy of the adsorbent effectively.
- Insert a copper tube (d = 20 mm) along the axis of the adsorption bed. Fix the copper tube to the bed with the flange (see Figure 3, top panel). The copper tube functions as the cooling channel of the bed during the adsorption process.
- Fill the adsorbent material in the annular cavity in the bed that is formed by the bed tube and the copper cooling channel. Use SAPO-34 zeolite as the adsorbent material, and water as the refrigerant. Put 3.171 kg of the SAPO-34 zeolite into the bed. The granular SAPO-34 zeolite is 5.7 mm in diameter.
- Deploy nine temperature probes in three cross-sections of the bed to monitor the temperature change of the bed during the adsorption/desorption process (Figure 3, bottom panel). Fix a probe at each small supporter that is seated on the copper cooling channel.
- Put probes 1 and 2 in section A-A near the inlet of the adsorption bed. Put probes 8 and 9 near the dead end of the bed. Fix the other probes at the middle B-B section (see Figure 3).
- Insert axially a mass-transferring channel of d = 10 mm into the bed. Ensure that the mass channel has the form of reticular tube, and is the same length of the adsorption bed (dbed = 64.5 mm). Extend the channel downwards from the inlet and make it stand in the right position with the extrusion force of the adsorbent material. The reticular tube helps the water vapor to enter the deep region of the bed quickly.
2. Experimental Method
NOTE: Adsorption refrigeration is based on the principle that the solid adsorbent material adsorbs the refrigerant vapor strongly at low temperature, while it desorbs the vapor at a higher temperature. Using heat as the driving impetus, the purpose of refrigeration is reached. The refrigeration cycle of the adsorption system involves mainly four steps, i.e., the solar heating-up process, the desorption process, the bed-cooling process, and the adsorption process. The desorption process starts once again after the adsorption process is completed. All the steps of the experiment are equally important because they are interrelated and influence each other interactively.
- Regulate the experimental setup by the following procedures to start the solar heating and desorption of the bed.
- Turn the parabolic trough manually until it is facing due east before the experiment, so that the sunlight irradiates the parabolic trough collector normally at noon.
- Shut off all the valves that are connected to the adsorption bed and ensure the pressure of the bed and the pipe is below 800 Pa. Make it ready for solar heating.
- Switch on the controlling rig of the system when the sun light is parallel to the horizon line in the morning. Make the trough automatically rotate to trace the solar movement.
- Allow the adsorption-saturated bed to be heated by solar radiation under closed conditions. As a result, the bed temperature and the bed pressure will increase gradually.
- Monitor the bed pressure with the pressure gauge (Number 6 in Figure 1) until it is higher than the pressure value that corresponds to the condensation temperature of the environment. According to the thermodynamics, the condensation pressure of the water at 30 °C is 4,246 Pa.
- Start the desorption process.
NOTE: In the desorption process, the condensation of water vapor occurs. The condensation temperature is determined by local weather conditions on the test day.
- Open the valve that connects the bed and the condenser. Let water vapor flow into the condenser through the connecting pipe. As water vapor enters the condenser, the temperature of the condenser will rise gradually.
- At the same time, keep the solar heating to the adsorption bed, so that the bed pressure remains high enough to cause the desorption. Do not stop the solar heating until the process is completed.
- End the desorption process when the pressure of the bed is equal to the pressure of the condenser. Turn off the valve when the desorption process is over.
- Cool down the bed before the adsorption process, as the bed is still in the state of high temperature after the desorption. The adsorbent material can largely adsorb only at low temperature.
- To start the adsorption process, shield the adsorption bed with an aluminum foil sheet, so that the bed is cut off from the solar radiation.
- Close all the valves that connect the evaporator and the condenser.
- Open the circulating water-loop of the bed and cool down the adsorbent material. With the water continually circulating in the bed, the internal enthalpy is taken out and the bed pressure decreases correspondingly.
- End the cooling process when the bed pressure drops below the saturated vapor pressure at the evaporator's temperature.
NOTE: Be ready for the adsorption refrigeration process after the cooling down of the bed. Now the bed temperature is around the ambient air temperature, and the bed pressure has reached to the minimum level.
- Keep the circulating water-loop in a working state during the adsorption process. The adsorption is an exothermic process, and the generated heat needs to be discharged outside as soon as possible.
- Open the valve between the bed and the evaporator. Let the water vapor rush into the bed from the evaporator.
NOTE: The vapor reduction of the evaporator causes more water to vaporize, which results in the drastic decrease of the evaporator temperature. Consequentially, the evaporator absorbs heat from the water tank where the evaporator is seated, and a refrigeration effect is obtained.
- Keep the adsorption process going on, and record the change of the bed temperature and the bed pressure.
NOTE: During the adsorption process, the vapor pressure in the evaporator becomes lower and lower, but the bed temperature increases quickly.
- End the adsorption process when the bed pressure is equal to the evaporator pressure. Afterwards, the desorption process will follow again.
3. Data Reduction Method
- Evaluate the performance of the refrigeration system based on the refrigeration capacity and the efficiency of the heat-to-cold transformation.
NOTE: For the current system, the refrigeration capacity is calculated by the mass amount of the vaporized water and the temperature change of the evaporator itself.
- To determine the total refrigeration capacity (Qref) of the system, calculate the sum of the enthalpy decrement of the chilled water in the tank, the metal evaporator, and the residual water in the evaporator after the adsorption as follows:

where cp in Eq. (1) is the specific heat at constant pressure, and m denotes the mass. C is a correction factor to the refrigeration capacity of the evaporator considering the heat transfer between the water tank and the ambient environment, and it is assumed C = 1.15 according to the principle of heat transfer. The subscript w and e represents the water and the evaporator, respectively. In the equation mw,tan and mw,eva is the mass of the chilled water in the tank and the mass of the residual water in the evaporator, which corresponds to the temperature drop ΔTw and ΔTe, respectively.
NOTE: The solar energy input to the bed is needed to evaluate the efficiency of the heat-to-cold transformation.
- Determine the solar energy input Qs as:

where, Is,i (t) is the transient solar intensity recorded by the actinometer during the desorption process. The time interval Δt of the data acquisition to the Is,i (t) is 10 s. The aperture area of the parabolic trough Ap, the reflective efficiency of the trough surface ρ, the transmittance of the tube glass τ, and the solar absorption coefficient of the coating surface α, together with the parameters in Eq. (1), are all listed in Table 1.
- Based on the Qref and theQs obtained above, determine the COP of the refrigeration system as14:

β1 and β2 are correction factors to the solar energy input Qs. β1 is the correction factor of the non-parabolic degree of the trough, which takes into account the deformation of the trough because of the limitations of the manufacturing technique, and it is assumed β1 = 0.85. β2 is the correction factor of the real amount of obtained heat of the bed. Due to the smaller size of the metal bed tube than the outer glass tube, the real obtained heat amount is less than that reflected onto the glass tube. β2 is decided by the ratio of the metal bed diameter D2 to the glass tube diameter D1. With D1 = 100 mm and D2 = 64.5 mm, it is calculated that β2 = 0.645.
- Determine the specific cooling power of the bed by the parameters of the experiment as14:

where ma is the mass of the adsorbent material and tads is the time duration of the adsorption process.

Table 1: Values of the parameter in Eq. (1) and Eq. (2). The parameters that are involved in Eq. (1) and Eq. (2) are listed in this table. The parameters include cp, Ap, α, etc.