Modelling and performance study of a continuous adsorption refrigeration system driven by parabolic trough solar collector
Introduction
In recent years, considerable attention has been paid to adsorption refrigeration systems, which are regarded as environmentally friendly alternatives to conventional vapour compression refrigeration systems, since they can use refrigerants that do not contribute to ozone layer depletion and global warming. In addition, the adsorption systems have the benefits of simpler control, no vibration and lower operation costs, if compared with mechanical vapour compression systems and, in comparison with the absorption systems, they do not need a solution pump or rectifier for the refrigerant, do not present corrosion problems due to the working pairs normally used, they are less sensitive to shocks and to the installation position (Wang et al., 2006) and they could be operated with no-moving parts (Wang et al., 2002). Furthermore, refrigeration as a solar energy application is particularly attractive because of (i) the non-dependence on conventional power and (ii) the near coincidence of peak cooling loads with the solar energy availability.
Despite their advantages, the adsorption refrigeration systems present some drawbacks, such as low COP, low SCP, high weight and high cost. So, in order to overcome these inconveniences, various approaches have been undertaken, such as improvement of heat and mass transfer in adsorbent beds, enhancement of the adsorption properties of the working pairs, design and study of different kind of cycles and improvement of regenerative heat and mass transfer between beds. However, the widespread use of the adsorption refrigeration systems is still limited by the technical and economic constraints. For this reason, the research activities in this field are still increasing to overcome these problems.
During recent decades, several solar adsorption refrigeration units were successfully tested with different combinations of adsorbents and adsorbates. The most studied pairs in this field are activated carbon/ammonia, activated carbon/methanol, zeolite/water and silica gel/water. These investigations include the research on ice-making and congelation purposes (Tchernev, 1978, Pons and Guilleminot, 1986, Grenier et al., 1988, Critoph, 1994, Sumathy and Zhongfu, 1999, Wang et al., 2000, Boubakri et al., 2000, Buchter et al., 2003, Hildbrand et al., 2004, Li et al., 2004, Khattab, 2004), refrigeration for food and vaccine storage (Critoph, 1999, Anyanwu and Ezekwe, 2003, Lemmini and Errougani, 2005, González and Rodríguez, 2007) and air-conditioning applications (Wang, 2001, Saha et al., 2001, Lu et al., 2003). The literature shows that most of these systems were intermittent, in which adsorption and cooling production can only be achieved during nights.
On the other hand, the solar collector/adsorber is one of the most important elements of any solar adsorption refrigeration system that needs more investigations. Indeed, several reports have mentioned its importance, i.e. the low thermal conductivities and poor porosity characteristics of adsorbents have as effect, the bulky collector/generator/adsorber component and, thus, its excessive heating capacity, leading to rather low thermal COP (Anyanwu, 2003). The adsorptive systems’ development is still limited by the adsorber-solar collector component cost (Leite et al., 2004) and recently, it has been reported that a potential barrier to the commercialization of the solar adsorption refrigeration systems is large collector costs (Baker and Kaftanoğlu, 2007). Nevertheless, collector costs can be reduced by increasing the adsorption cycle’s COP or decreasing the operating temperature of the collector (Baker, 2007). In this context, parabolic trough collectors (PTCs) seem to be a reasonable alternative, since they could achieve a high cycle’s COP due to their high efficiency. They are the most developed and deployed type of solar concentrators (Badrana and Eck, 2006) and their technology is the most verified-solar technology through deployment and construction testing (Price and Hassani, 2002). They have been used in various applications, such as steam generation (Kalogirou, 1996, Zarza et al., 2004), seawater desalination (Kalogirou, 1998), hot water production (Kalogirou and Lloyd, 1992, Valan Arasu and Sornakumar, 2007), etc. Moreover, Bird and Drost (1982) have recommended that the PTC concept should receive the highest priority for commercial development for low temperature (65–177 °C) solar process heat applications. Even so, most of the studies conducted on the solar adsorption cooling systems have been achieved with either flat plate or evacuated tube collectors, whereas little attention has been devoted to concentrating collectors, in particular the PTCs.
This paper presents the study of a novel system in an attempt to overcome the intermittent character of solar adsorption refrigeration systems, and test the applicability of PTC to these systems with the aim to improve their performance. Thus, a numerical investigation is performed to describe a two-bed continuous adsorption refrigeration cycle. A parametric analysis is carried out to evaluate some optimal design and operating values of the system.
Section snippets
System description and working principle
A schematic diagram of the proposed two-bed continuous adsorption refrigeration system is shown in Fig. 1. It consists of a solar concentrator (PTC), a heating water tank, a cooling water tank, a condenser, an evaporator, tank of ammonia, refrigerant valves, circulating pump and two cylindrical adsorbers containing the activated carbon-ammonia, and so on.
The receiver, which is placed along the focal line of the concentrator, consists of a stainless steel tube covered by a glass envelope for
Model assumptions
The main model assumptions adopted in this work are as follows:
- 1.
The pressure is uniform inside the adsorbent bed.
- 2.
The adsorbent bed is considered as a continuous medium and the conduction heat transfer in the medium can be characterised by an equivalent thermal conductivity, λe.
- 3.
The adsorption/desorption process is an isobaric process.
- 4.
The porous medium properties have a cylindrical symmetry.
- 5.
All phases are continuously in thermal, mechanical and chemical local equilibrium.
- 6.
The heat transfer is
Numerical solution
First, Eqs. (1), (2), (3), (4), (5), (6) are combined in one Eq., and the outlet fluid temperature Tout and the storage tank temperature Tst at any each time are determined by numerical integration of the time derivative.
For solving the differential equations related to the adsorbent bed, a numerical method based on both the finite differences technique and a fully implicit scheme is used. The discretized equations are solved using the Tri-Diagonal Matrix Algorithm (TDMA) and the non-linearity
Experimental validation
In order to validate the model of heat and mass transfer within the adsorbent, a tubular reactor with a double stainless steel envelope heat exchanger has been used. The inner diameter and length of this reactor were taken to be equal to 53 mm and 250 mm, respectively. Each reactor cover has in its centre a hole, allowing the inlet or outlet of the ammonia gas. The temperature of the thermostat used in the experiment ranged between 20 and 250 °C. The reactor was packed with 274 g of activated
Results and discussion
In this section, a numerical investigation is conducted under the operating and design conditions listed above. The effects of some important parameters on system performance, such as heat source temperature, and adsorbent bed thickness, are investigated. The simulation results are shown graphically.
Conclusions
The aim of the current work was to present a novel system, in which the solar parabolic trough collector has been introduced to the adsorption refrigeration purpose in order to achieve continuous cycles using two adsorbent beds. A theoretical model based on the heat and mass transfer in the adsorbent, and on the heat balance equations in the collector components has been developed. A computational program was developed in order to simulate the behaviour of the solar adsorption refrigeration
Acknowledgements
This work has been supported by the Interuniversity Cooperation Program (PCI) of the Spanish Agency for the International Cooperation for Development (AECID) in the framework of the grants A/3934/05, A/5971/06 and A/8686/07. The authors appreciate also the support of PROTARS II n° P22.
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