A general thermodynamic framework for understanding the behaviour of absorption chillersCadre thermodynamique facilitant la compréhension du comportement des refroidisseurs à absorption

In this article, a general definition of the process average temperature has been developed, and the impact of the various dissipative mechanisms on 1/COP of the chiller evaluated. The present component-by-component black box analysis removes the assumptions regarding the generator outlet temperature(s) and the component effective thermal conductances. Mass transfer resistance is also incorporated into the absorber analysis to arrive at a more realistic upper limit to the cooling capacity. Finally, the theoretical foundation for the absorption chiller T–s diagram is derived. This diagrammatic approach only requires the inlet and outlet conditions of the chiller components and can be employed as a practical tool for system analysis and comparison.     

Performance of a packed bed absorber for aqua ammonia absorption refrigeration systemPerformance d''un matelas dispersant dans un système frigorifique à absorption à ammoniac/eau

A mathematical model of a packed bed absorber for aqua-ammonia absorption refrigeration system is presented. The model is used to predict the performance of the bed at various design and operating conditions. The governing equations and the boundary conditions are derived to predict the bed performance. A numerical integral method and an iteration scheme are used to solve the governing one dimensional, non-linear simultaneous differential equations which are subjected to three point boundary value problem. A computer program is prepared and carefully debugged to solve the governing equations with the help of some supporting equations to describe the properties of the working fluids and the heat and mass transfer coefficients in the bed. The analysis show that the absorption process is affected by the following parameters: the volumetric heat rejection model, bed height, vapor and solution flow rates to the bed and the inlet conditions; and packing material type. The effect of changing each of those parameters on the performance of the bed is studied after suggesting a model for the volumetric heat rejection from the bed. The results showed that changing the bed pressure and/or the vapor inlet temperature have negligible effect on the performance of the bed. Changing other parameters are found to affect the performance of the bed by different degrees. Also, the results show that within the present range of parameters, a bed height less than 0.7 m guarantees an absorption efficiency better than 91%.

Résumé

On présente un modèle mathématique d'un matelas dispersant dans un système frigorifique à absorption à ammoniac/eau. On utilise ce modèle pour prévoir la performance du matelas utilisant diverses conceptions et sous diverses conditions de fonctionnement. On établit des équations qui décrivent ce processus et les conditions limites afin de prévoir la performance du matelas. On utilise une méthode numérique intégrale et un schéma d'itération afin de résoudre les équations unidimensionnelles, non-linéaires, simultanées et différentielles, qui sont soumises au problème des limites à trois points. Un programme informatique est préparé et débogué afin de résoudre les équations qui gouvernent le processus étudié, avec l'aide de quelques équations supplémentaires qui décrivent les caractéristiques des fluides actifs et les coefficients de transmission thermique et de transfert d'énergie massique du matelas. L'analyse montre que le processus d'absorption est influencé par des paramètres suivants: le modèle de rejet de chaleur volumétrique, la hauteur du matelas, les débits d'écoulement de la vapeur et de la solution vers le matelas, les conditions d'entrée et le matériau dispersant utilisé. On étudie également l'influence de la variation de chacun de ces paramètres sur la performance du matelas apres avoir proposé un modèle de rejet de chaleur volumétrique par le matelas. Les résultats montrent que si on change la pression dans le matelas et/ou la température de la vapeur à l'arrivée, de tels changements ont un effet negligeable sur le matelas. Suite au changement d'autres paramètres, la performance du matelas a été modifée de diverses façons. Les résultats montrent également qu'avec les paramètres adoptés ici, une hauteur du matelas inférieure à 0,7 m assure un taux d'absorption supérieur à 91%.     

A contribution to the evaluation of the economic perspectives of absorption chillers: Contribution à l'évaluation des perspectives économiques des refroidisseurs à adsorption

The development of new working pairs and cycles extends the field of application of absorption systems with corresponding environmental benefits. The performance of standard cycles can be enhanced, e.g. by multi-staging. For each application the suitable working pair and cycle can be chosen regarding thermodynamical and economical aspects. Still, the performance strongly depends on the given external conditions. In this paper, basic thermodynamic constraints stemming from those conditions and valid for all sorption cycles are derived using the concept of endo-reversibility. Fundamental economic conclusions can be drawn. Subsequently, real machines are analysed. A comparison with manufacturers data and experimental data is made. The working pairs lithium bromide/water and binary hydroxide solution/water are discussed.     

Performances d'une machine tritherme à éjecteur utilisant des mélanges de fluides frigorigènesPerformance analysis of a jet cooling system using refrigerant mixtures

The optimisation of a jet cooling system using refrigerant mixtures as substitutes of pure refrigerants has been investigated. A steady-state simulation program, for given temperatures of the sources, integrating simple models of each component has been developed. A Peng-Robinson equation of state assuming equality of the fugacities of the two phases was used to model the thermodynamic properties of the vapour and liquid-vapour equilibrium. The refrigerants investigated in this study are: the pure refrigerants R142b, R152a, RC318, R124, R134a, R22 and the binary refrigerants R22/RC318, R22/R142b, R22/R124, R22/R152a, R22/R134a, R134a/R142b, R152a/R142b and R134a/R152a. Results show that the use of a binary mixture does not always increase the performance of system. Generally, when the mixture is strongly zeotropic (e.g.: R22/RC318), the cooling efficiency of the system decreases. However, when the mixture is mildly zeotropic (e.g. R134a/R142b) or almost azeotropic (e.g. R134a/R152a), efficiency and energetic efficiency increase.     

Development and validation of “grey-box” models for refrigeration applications: A review of key concepts

“Grey-box” modelling combines the use of first-principle based “white-box” models and empirical “black-box” models, offering particular benefits when: (a) there is a lack of fundamental theory to describe the system or process modelled; (b) there is a scarcity of suitable experimental data for validation or (c) there is a need to decrease the complexity of the model. The grey-box approach has been used, for example, to create mathematical models to predict the shelf life of chilled products or the thermal behaviour of imperfectly mixed fluids, or to create models that combine artificial neural networks and dynamic differential equations for control-related applications. This paper discusses the main characteristics of white-box, black-box and their integration into grey-box models, the requirements and sourcing of accurate data for model development and important validation concepts and measures.     

Simulation results of triple-effect absorption cycles

A simulation analysis was carried out for three kinds of triple-effect absorption cycles of parallel-flow, series-flow and reverse-flow using a newly developed simulation program. The cycles investigated in this paper are similar to the alternate double-condenser coupled cycles of Grossman. The coefficient of performance, the maximum pressure and the maximum temperature of each cycle were calculated. The sensitivity analysis of UA of each component was also carried out. The results show that the parallel-flow cycle yields the highest coefficient of performance among the cycles, while the maximum pressure and temperature in the reverse-flow cycle are lower than those of other cycles.     

Simulation of ternary ammonia–water–salt absorption refrigeration cyclesSimulation des cycles frigorifiques à absorption à ammoniac / eau / sel

This paper proposes a new working fluid for refrigeration cycles utilizing low temperature heat sources. The proposed working fluid consists of the ammonia–water working fluid mixture and a salt. The salt is used to aid the removal of ammonia from the liquid solution. This effect is a manifestation of the well known “salting-out” effect. While the addition of salt improves the generator performance, it also has a detrimental effect on the absorber. The overall effects on the performance of three absorption cycles using the NH₃–H₂O–NaOH working fluid have been investigated using computer simulations. The results indicated that salting out can lower the generator operating temperature while simultaneously improving the cycle performance. Furthermore, limiting the salt to the generator suggests potential for further improvement in cycle performance.     

Modeling absorption of pure refrigerants and refrigerant mixtures in lubricant oil

This paper addresses the problem of absorption of refrigerant vapor in a stagnant layer of lubricant oil. The bulk motion of the solute is described in terms of apparent diffusion coefficients that encompass both molecular diffusion and possible macroscopic motion induced by liquid density instability and surface tension. In absorption of refrigerant mixtures, diffusion in the vapor and liquid phases are coupled with a thermodynamic model for interfacial equilibrium. Results are compared with experimental data available in the literature for absorption of several refrigerants in polyol ester oil (POE68). The adequacy of the formulation is assessed in the light of its basic assumptions and performance of the model.     

Use of neural networks and expert systems to control a gas/solid sorption chilling machine: Utilisation des réseaux neuronaux et des systèmes experts pour réguler une machine frigorifique à sorption gaz/solide

This works focuses on using neural networks and expert systems to control a gas/solid sorption chilling machine. In such systems, the cold production changes cyclically with time due to the batchwise operation of the gas/solid reactors. The accurate simulation of the dynamic performance of the chilling machine has proven to be difficult for standard computers when using deterministic models. Additionally, some model parameters dynamically change with the reaction advancement. A new modelling approach is presented here to simulate the performance of such systems using neural networks. The backpropagation learning rule and the sigmoid transfer function have been applied in feedforward, full connected, single hidden layer neural networks. Overall control of this system is divided in three blocks: control of the machine stages, prediction of the machine performance and fault diagnosis.     

A study on the performance of multi-stage heat pumps using mixturesEtude sur la performance de pompes à chaleur multi-étagées utilisant des mélanges

Multi-stage heat pumps composed of a condenser, evaporator, compressor, suction line heat exchanger, and low and/or high stage economizers are studied by computer simulation. Their thermodynamic performance and design options are examined for various working fluids. In the simulation, HCFC22/HCFC142b and HFC134a are studied as an interim and long term alternatives for CFC12 while HFC32/HFC134a and HFC125/HFC134a are studied as long term alternatives for HCFC22. The results indicate that the three-stage super heat pump with appropriate mixtures is up to 27.3% more energy efficient than the conventional single-stage system with pure fluids. While many factors contribute to the performance increase of a super heat pump, the most important factor is found to be the temperature matching between the secondary heat transfer fluid and refrigerant mixture, which is followed by the use of a low stage economizer and suction line heat exchanger. The contribution resulting from the use of a high stage economizer, however, is not significant. With the suction line heat exchanger, the system efficiency increases more with the fluids of larger molar liquid specific heats. From the view point of volumetric capacity and energy efficiency, a 40%HCFC22/60%HCFC142b mixture is proposed as an interim alternative for CFC12 while a 25%HFC32/75%HFC134a mixture is proposed as a long term alternative for HCFC22.     

A dynamic model of heat and mass transfer in a double-bed adsorption machine with internal heat recovery

This paper presents the results of a predictive two-dimensional mathematical model of an adsorption cooling machine consisting of a double consolidated adsorbent bed with internal heat recovery. The results of a base-case, taken as a reference, demonstrated that the COP of the double bed adsorption refrigeration cycle increases with respect to the single bed configuration. However, it was verified that, in order to maximize also the specific power of the machine, the adsorbent beds must have proper thermo-physical properties.Consequently, a sensitivity analysis was carried out, studying the influence of the main heat and mass transfer parameters on the performance of the machine. The results obtained allowed us to define the adsorbent bed design that maximizes its heat and mass transfer properties, as well as the most profitable heat recovery conditions.     

Evaluation of metal hydride machines for heat pumping and cooling applications: Evaluation des machines à hydrure métallique dans les applications de pompes à chaleur et de refroidissement

Three different schemes of metal hydride solid sorption devices for heat pumping and cooling applications are presented and compared based on theoretical evaluations. Key parameters obtained from experimental and simulation results from coupled metal hydride reaction beds have been used for the theoretical evaluation. The single (HS) and double stage (HD) devices show reasonable performances, but they require many moving parts. Using high performance reaction beds, e.g. a capillary tube bundle reaction bed, cycle times of about 5–10 min can be obtained with these devices. This corresponds to a specific power output of 100–200 W kg⁻¹ (HS) or 150–300 W kg⁻¹ (HD), referred to the total hydride inventory of the machine. The multi-hydride-thermal-wave (HW) system has a lower specific power output, but it offers significant advantages like modest hardware effort, low pumping power and a very wide operating temperature range.     

A phenomenological theory of polycomponent interactions in non-ideal mixtures. Application to NH3/H2O and other working pairsInteractions entre les composants de mélanges non-idéaux : théorie et application au fluide actif NH3 / H2O et à d'autres fluides actifs

The paper proposes an original linear phenomenological theory (Ph T) of evolution physical mono-, bi- and particular polycomponent gas–liquid interactions with non-ideal mixture. The expressions of the phenomenological factors (entropy source, force, coefficient and coupled heat and mass transfer currents) are deduced. The theory is particularized to the NH₃/H₂O and other gas–liquid systems used in the thermal absorption technology. The work's conclusions are listed next. The paper raises the problem of ammonia bubble absorption which is difficult to answer with current theory of interface mass transfer and absorption as a surface phenomenon. The heat and mass transfer at the gas–liquid interface is governed by the thermodynamic force, which applies also to solid–liquid, solid–gas, or liquid–liquid, gas–gas type interactions and continuous or discontinuous media. The paper mentions a postulate referring to the force behavior approaching an ideal point, previously formulated by the author. According to its consequence, the mass and heat currents suffer an ideal point approaching (i.p.a.) effect, not mentioned so far in the specialized literature, consisting in a continuous increase of their absolute value by several percent (for a pure component), to several hundred times (for a binary system) when the interacting system approaches an ideal state, as compared to the values of states which are far from the same ideal point. In this way, “far from equilibrium” becomes synonymous to “low interaction”. The classic assessment of the interface mass transfer by analogy with heat transfer lacks basic physics. The (Ph T) satisfactorily explains the problem of ammonia bubble absorption. Absorption is a mass phenomenon, not a surface one. An intensive way of improving absorption is emphasized, which seeks to promote the i.p.a. effect appearance rather than the extensive way currently used, based on increasing gas–liquid interaction area. To this extent, the bubble absorber is hereby proposed for efficient absorption. The i.p.a. effect existence offers an additional chance for a satisfactory explanation of the Marangoni effect.     

Modélisation des données thermodynamiques du mélange ammoniac/eauModelling of the thermodnyamic properties of the ammonia/water mixture

The present work deals with the modeling of the thermodynamic properties of the ammonia/water mixture using the Gibbs free energy function. For the liquid phase, a three constant Margules model of the excess free enthalpy is formulated. The vapour phase is considered as a perfect mixture of real gases, each pure gas being described by a virial equation state in pressure truncated after the third term. The model developed describes with a good accuracy the mixture in the three states, subcooled liquid, superheated vapour and liquid-vapour saturation for temperatures from 200 to 500 K and pressures up to 100 bar.     

An experimental study of an ejector cycle refrigeration machine operating on R113 Etude expérimentale d'une machine frigorifique à éjecteur au R113

This paper discusses an ejector cycle refrigeration machine that can use a wide range of refrigerants including halocarbons. The feature of such a system is the possibility of using a low grade heat source such as solar energy and waste heat to operate the system. A theoretical analysis was carried out to select a suitable refrigerant for the system. The influence of boiler, condenser and evaporator temperatures on system heat transfer is investigated experimentally under different operating conditions. The experimental machine uses R113 as a working refrigerant.     

Accounting for the real properties of the heat transfer fluid in heat-regenerative adsorption cycles for refrigerationPrise en compte des propriétés du réelles fluide caloporteur dans les cycle frigorifiques à adsoption avec régénération de chaleur

Adsorption cycles for refrigeration or heat pumping can be environmentally friendly. Moreover, when they use the process of heat-regeneration, they can be energetically efficient provided the adsorbers are correctly designed, which requires correct modelling. In such a model, all the heat exchanges undergone by the heat transfer fluid are considered. The temperature changes of this fluid induce variations in its physical properties. The influence of these variations on the cycle performance are numerically investigated and thermodynamically analysed. The effects of the changes in density are negligible, but those of the changes in heat capacity cannot be neglected. The analysis shows that this result is due to the interdependence of all the heat quantities involved in the cycle via the first principle of thermodynamics.     

Production de froid par transformation thermochimique : expérimentation d'un nouveau système à double effet à contactThermochemical cooling sorption process: experimentation of a new double effect by contact system

The processes proposed in order to improve the energetic performances of thermochemical cooling sorption systems involve an increase of the technological complexity of the installation that can limit their practical interest. The double effect by contact studied allow to consider high energetic performances, simple working mode and also a good compactness of the installation. The analysis of the theoretical working mode of this process, compared to the classic double effect, permits putting forward both advantages and inconveniences of this new process. These are quantified with the help of results supplied from an experimental pilot.     

Energy and exergy analysis of single effect and series flow double effect water–lithium bromide absorption refrigeration systems

In this paper, the energy and exergy analysis of single effect and series flow double effect water–lithium bromide absorption systems is presented. A computational model has been developed for the parametric investigation of these systems. Newly developed computationally efficient property equations of water–lithium bromide solution have been used in the computer code. The analysis involves the determination of effects of generator, absorber and evaporator temperatures on the energetic and exergetic performance of these systems. The effects of pressure drop between evaporator and absorber, and effectiveness of heat exchangers are also investigated. The performance parameters computed are coefficient of performance, exergy destruction, efficiency defects and exergetic efficiency. The results indicate that coefficient of performance of the single effect system lies in range of 0.6–0.75 and the corresponding value of coefficient of performance for the series flow double effect system lies in the range of 1–1.28. The effect of parameters such as temperature difference between heat source and generator and evaporator and cold room have also been investigated. Irreversibility is highest in the absorber in both systems when compared to other system components.     

Studies on bubble pump for a water–lithium bromide vapour absorption refrigerator: Etudes sur une pompe à bulles pour réfrigérateur à absorption eau–bromure de lithium

The hydrostatic principle and bubble pump technique are used in the two-fluid pumpless continuous vapour absorption refrigerator to create the circulations of the solution and refrigerant. In this paper, the bubble pump, which is the ‘heart' of this natural circulation type of refrigerator, has been investigated both analytically and experimentally. The bubble pump is modelled for intermittent slug flow of solution and vapour mixture. A test rig is built in glass to evaluate the performance of the bubble pump, to visualize the flow behavior and to validate the analytical model. Bubble pump tube diameter, pump lift, driving head and heat input are varied to analyze the pump performance. Results indicate that pumping ratio is nearly independent of the heat input, but increases with decrease in pump tube diameter, decrease in pump lift and increase in driving head.     

Modelling of the heat exchangers of a small capacity, hot water driven, air-cooled H2O–LiBr absorption cooling machine

General models for the design of the heat exchangers (absorber, generator, condenser and evaporator) of a prototype of an air-cooled absorption chiller of 2 kW for air-conditioning using the pair H₂O–LiBr have been developed. An absorption machine of such characteristics has been constructed to be used as a test facility for validating the results obtained from the mathematical models developed. The discrepancies considering the heat exchanged between numerical results and experimental data are under 15% in most cases for all these components except the condenser, where the discrepancies are higher. The conclusions reported will lead to: (i) future improvements of the mathematical simulation models and (ii) improvements in the experimental infrastructure.