Parametric Study of a Single Effect Lithium Bromide-Water Absorption Chiller Powered by a Renewable Heat Source

This work investigates the performance of a single-effect absorption chiller utilizing an aqueous lithium bromide solution as the working fluid and driven by hot fluid rejected from either a geothermal power plant or the outlet of a thermal solar collector. This relatively low enthalpy return fluid, which will otherwise be reinjected back into the earth, will be utilized as the thermal energy source of the chiller. Although such chillers are considered low-grade energy refrigeration cycles, the one proposed here has an advantage in terms of economy and efficiency. A parametric analysis is performed using Engineering Equation Solver software and is used to highlight the effect of the heat exchanger size on the coefficient of performance of the chiller. The analysis proved that the proposed device can operate with excellent cooling capacity, reaching 16 kW, and a relatively high coefficient of performance (~ 0.7) while being driven by the low-grade energy. The heat source temperature, solution heat exchanger effectiveness and the size of the absorber were shown to be key parameters for the design and operation of absorption chillers. Moreover, increasing the heat source mass flow rate has a significant impact on both cooling capacity and coefficient of performance at low values (< 10 kg/s) and unnoticeable impact at higher values (> 10 kg/s). * Corresponding author Tawalbeh, M., et al. Parametric Study of a Single Effect Lithium ... Year 2020 Volume 8, Issue 3, pp 464-475 465 Journal of Sustainable Development of Energy, Water and Environment Systems


INTRODUCTION
The geographical location of the United Arab Emirates (UAE) is in the Arabian Peninsula and lies between 22° 30' and 26° 10' north latitude and between 51° and 56° 25' E longitude [1]. This provides a basis for a massive solar exposure. UAE, in particular, receives an annual solar energy incident of 6.3 kWh/m 2 /day [2] making UAE of a hot, sub-tropical, and arid climate. Consequently, the energy demand for air conditioning purposes is very high. Nowadays, natural gas and oil are the primary sources of energy in the UAE [3]. The other energy sources are only contributing to around 1% towards the country total energy demand [4]. As the energy prices continue their upward stir, the use of conventional energy sources for air conditioning leads to high electricity bill rates [5]. Moreover, the emissions associated with conventional energy sources have great environmental effects and increasing the threat of global warming [6]. For instance, electricity production is responsible for around 38% of India carbon dioxide (CO2) emissions where 44% of the electricity is produced by coal-fired power plants and around 27% by other thermal power plants [7]. Hence, an alternative source of energy that is less expensive and does not contribute to environmental pollution is required.
The renewable resources for low-grade thermal energy and are not exclusive to solar thermal collectors. For example, geothermal energy is a green, sustainable and renewable source of energy which is deposited in nature, with almost zero emissions and very minimal side effects. It requires modest land area and low maintenance cost [8]. It can be utilized for many different applications, such as power generation and absorption chiller refrigeration. In absorption chiller, the geothermal energy is utilized as the energy source to provide the heat required for the generator. It lowers the air conditioning cost dramatically where air conditioning is the most electricity consuming process in UAE and accounts for up to 80% of the electricity demand in Abu Dhabi [9].
Geothermal power plants are widely designed as a single-flash steam type [10]. This type is one of the first power plants installed in liquid prevailed geothermal fields. Worldwide, the single flash is the dominant type and stands for 29% and 43% of all geothermal plants and the total capacity of the geothermal power plants installed, respectively. The power capacity is in the range of 3 to 117 MW with an average power rating of about 27 MW [11]. Moreover, normally at least 5-6 productions wells with 2-3 injection wells are needed to run a single-flash power plant of 30 MW [9]. Both medium and low enthalpy resources, on the other hand, can be utilized directly for heating and cooling purposes [12] or in various industrial processes such as food drying, distillation, and desalination [13]. The heating is typically occurred by directly passing the geothermal water through pipes to radiators [14] and absorption chillers are usually employed in cooling applications [15].
Absorption chillers have several advantages when compared to vapor-compression refrigeration cycles. Their cost is lower, they can utilize low-grade heat, natural materials are the working fluids, which do not contribute to the depletion of ozone, and they operate without a compressor, hence, operate with low noise and vibration [16,17]. As a result, absorption chillers are more economical and eco-friendly.
The most common pairs of working fluid in absorption chillers are lithium bromide-water (LiBr-H2O) and ammonia-water (NH3-H2O) [18]. The LiBr-H2O pair is more dominant in absorption chillers since it is cheaper, stable, free of toxins and not harmful to the environment [19]. It also has a relatively high latent heat of vaporization, less volatile than water, therefore, a rectifier is not required in the cycle [20]. In addition to that, LiBr-H2O absorption chillers have higher Coefficient of Performance (COP), operates at low pressures (0.6-8 kPa), relatively high temperatures (5-10 °C), hence, used mainly for air conditioning applications [20]. On the over hand, NH3-H2O chillers operate at high pressures (200-50,000 kPA), relatively low temperatures (~ -10 °C) [21], and suffer from toxicity issues and used primarily for refrigeration [22]. In LiBr-H2O working fluid chillers, LiBr performs as the absorbent, and water acts as the refrigerant [23]. The required heat source temperature for single-effect LiBr-H2O absorption chiller is between 80 and 100 °C while their COP is between 0.7 and 0.8 [24,25].
Absorption chiller refrigeration cycle consists of seven main components: generator, condenser, two expansion valves, evaporator, absorber, pump and heat exchanger as shown in Figure 1 [26]. There are two main fluids circulating around the system, a refrigerant, and an absorber. A weak refrigerant/absorber solution that is pumped from the low-pressure absorber to the high-pressure generator, passing through the pump and heat exchanger. Inside the generator, heat can be added from many different sources such as solar, geothermal or waste heat. The heat source temperature should be in the range of 80 to 120 °C to evaporate the refrigerant and separate it from the absorbent. The high-pressure vapour is then condensed inside the condenser to saturated liquid. The high-pressure saturated liquid then expands through an expansion valve to lower its pressure and ultimately decrease its temperature as well. The saturated low-pressure liquid refrigerant then enters the evaporator where the liquid is evaporated to a low-pressure vapour. The vapour then enters the absorber to be absorbed by the absorbent. The remaining strong absorber in the generator after being separated from the refrigerant goes back to the absorber. This strong absorber is at high pressure and temperature, hence, it passes through a heat exchanger where it exchanges heat with the solution moving in the opposite direction from the absorber to the generator as shown in Figure 1. The strong absorber then passes through an expansion valve to reduce its pressure to the absorber pressure level.  [26] Performance, operation, and COP of absorption chillers are affected by several parameters such as heat source temperature, heat source, and desorber inlet mass flow rates, desorber and condenser sizes, and solution heat exchanger effectiveness. Hence, the purpose of this work is to perform a parametric study to investigate the effect on the performance and COP and to determine the optimum operating parameters of a single Parametric Study of a Single Effect Lithium ...
Year 2020 Volume 8, Issue 3, pp 464-475 LiBr-H2O absorption chiller powered by geothermal energy. In the following section, a mathematical model for the absorption chiller system and components is presented.

MATHEMATICAL MODELING
An absorption chiller refrigeration cycle consists of seven main components: a generator (desorber), absorber, evaporator, condenser, solution heat exchanger, solution pump and expansion valve. Neglecting frictional pressure drops, the cycle operates at two pressure levels: high pressure at the generator and condenser, and low pressure at the absorber and evaporator. The LiBr-water solution is the working fluid of choice in the absorber and generator section (absorbent) while water is the working fluid in the evaporator and condenser section (refrigerant). Also, and in order to avoid freezing or solidification inside the evaporator, it is necessary to operate at temperatures slightly above 0 °C.
Several assumptions are made to set up the thermodynamic analysis of LiBr-water absorption chiller: • All components in the cycle operate at steady state conditions; • Frictional pressure drops are neglected; • Pump work is negligible; • Both expansion valves (pressure reducers) are isentropic; • The LiBr-water solution exits the absorber and generator and the refrigerant exits the condenser at saturation conditions. For the current analysis, the mass balance and energy balance equation for each component of absorption chiller are summarized in Table 1. Note that Q is the rate of heat transfer, ṁ is the mass flow rate, and h is the enthalpy. The subscripts a, c, e, and d represent the absorber, condenser, evaporator, and generator (desorber), respectively. Numerical subscripts from 1 through 18 refer to the streams shown in Figure 1. ln ln • Evaporator: ( ) ln • Desorber (generator): ( ) ln where T is the temperature, U [W/m 2 K] is the overall heat transfer coefficient, A [m 2 ] is the area and cp [kJ/kgK] is the specific heat for the stream of interest. The ratio of the actual heat transfer rate and the maximum possible heat transfer rate is the effectiveness (ε) of the solution heat exchanger. It is expressed as: Due to the evaporation in the generator, the heat capacitance (ṁ4cp) is always lower than ṁ3cp, and the effectiveness can be written as: The mass and energy balance equations are then solved using the set of the input parameters shown in Table 2. The parameters are fluid flow rates, inlet temperatures, heat exchangers, overall heat transfer coefficients and heat exchangers sizes. The full thermodynamic analysis is carried out via Engineering Equation Solver software (EES) where all physical and thermal properties were extracted from the software library. In parallel, several manual calculations were done to verify the EES analysis using the same mass and energy balance equations. Supplemental data available in the enthalpy versus concentration chart and Duhring chart of crystallization for LiBr/H2O solution shown in Figure 2 were also used.  Figure 2. Enthalpy vs. concentration (a) and Duhring chart of crystallization plot for LiBr-H2O solution (b) [27,28]

RESULTS AND DISCUSSION
In the following sections, the effect of several process variables on the cooling capacity and COP will be discussed. These variables include: the effect of the desorber inlet temperature, effect of the heat source inlet mass flow rate and the effect of the absorber heat exchanger size.

Effect of desorber inlet temperature
The thermal source to the chiller is the hot fluid exiting a low-enthalpy renewable resource, such as a geothermal power plant and into the rejection well. The temperature of this heat source is an important parameter having a significant influence on the performance and operation of the refrigeration cycle. To operate the sought single effect LiBr-water absorption chiller, the temperature of this stream should be at least at 90 °C. This condition is easily achieved by the rejected hot fluid from a geothermal power plant. This effect is evident in Figure 3 that show the effect of desorber inlet temperature (designated by T11), at different solution heat exchanger effectiveness (ε) and at fixed heat source mass flow rate of 1 kg/s, on the performance of the refrigeration cycle represented by the cooling capacity (Q e). A similar analysis is shown in Figure 4 but shows the effect on COP. The correlation in Figure 3 shows similar trends for various mass flow rate levels, with the cooling capacity decreasing with increased flow rate due to the shortened residence time of the working fluid in the heat exchangers. The cooling capacity of the chiller is seen to increase as the inlet heat temperature increases in a fashion consistent. This can be explained by the increase of the log mean temperature difference of each heat exchanger. However, this increase of log mean temperature difference results in an increase in the irreversibility in the real heat exchanger. This may explain the behaviour of the COP with the increase of the temperature of the heat sources. The COP values in Figure 4 is observed to decrease with increasing the heat source temperature in the range between 90 to 140 °C. In reality, the COP would increase first then reach an inflection point where maximum value is achieved decreasing again [29]. This increase is usually observed at temperature ranges below 90 °C, which is not included in the current study. The temperature range considered here mimics temperature of the hot fluid rejected back by the geothermal power plant to its rejection well.   Figure 5 show the effect of the mass flow rate of the heat source (ṁ11) on the cooling capacity while fixing the solution heat exchanger effectiveness at 0.65. The heat source inlet mass flow rate was varied from 1 kg/s to 50 kg/s at increments of 10 kg/s with the solution heat exchanger effectiveness value of 0.65. It is evident that the cooling load increases by increasing the mass flow rate from 1 kg/s to and 10 kg/s. However, there was no noticeable change in the mass flow rate between 10 kg/s and 50 kg/s. On the other hand, COP slightly decreased by increasing the heat source inlet mass flow rate from 1 kg/s to and 10 kg/s, whereas no noticeable change was observed by increasing the mass flow rate between 10 kg/s and 50 kg/s as clearly seen in Figure 6. The chiller performance strongly correlates with the size of the solution heat exchanger, represented by its effectiveness. Thus, it is extremely difficult to explicitly reveal any effect of the heat source mass flow rate change on the chiller performance as long as the size of the solution heat exchanger is the same. This is further explored in the next section.

Effect of the absorber heat exchanger size
The effect of the absorber heat exchanger size on the cooling capacity and COP of the absorption chiller at different heat source temperatures is demonstrated in Figure 7 and

CONCLUSIONS
This work analyzed the performance of single-effect LiBr-water absorption chiller driven by the hot fluid rejected back by a low enthalpy thermal renewable resource, such as a geothermal power plant. The parametric study was conducted using the EES. The results showed that absorption chillers could operate with an acceptable COP and cooling capacity using low-grade energy with minimum noise. The parametric study verified the effect of the several parameters including the heat source temperature and its mass flow rate, solution heat exchanger effectiveness and the size of the absorber heat exchanger. For example, it was evident that the cooling load increased by increasing the heat source mass flow rate from 1 kg/s to and 10 kg/s, while the COP has slightly decreased. Furthermore, the increase in the heat source mass flow rate is significant at low mass flow rate values (< 10 kg/s) and unnoticeable at higher mass flow rate values (> 10 kg/s). While the previous process variables are key parameters for the design and operation of absorption chillers, however, further studies are needed in the future to examine wider ranges of operating conditions such as mass flow rate of the working fluid, renewable resource exit temperature range, renewable resource availability, among others.