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    Distillation column configurations in ammoniawater

    absorption refrigeration systems

    Jose Ferna ndez-Seara*, Jaime Sieres, Manuel Va zquez

    Area de Maquinas y Motores Termicos, Escuela Tecnica Superior de Ingenieros Industriales, Universidad de Vigo,

    Campus Lagoas-Marcosende, N 9, 36200 Vigo, Spain

    Received 29 October 2001; received in revised form 30 May 2002; accepted 7 June 2002

    Abstract

    In ammoniawater absorption refrigeration systems a purification process to reduce the water content in the vapour

    leaving the generator is required. During this process the water content in the vapour must be reduced to a minimum,

    otherwise it tends to accumulate in the evaporator and strongly deteriorates the efficiency of the system. The vapour

    purification can be carried out by partial condensation, by establishing a liquidvapour counter flow or by combining

    both methods. In systems with partial condensation, the distillation column can be composed of one or more rectifiers

    using different cooling mediums, and the rectifying and stripping sections. In complete condensation systems only the

    rectifying and stripping sections can be used. Therefore different distillation column arrangements should be con-

    sidered. This paper presents a study of several distillation column configurations for single stage ammoniawater

    absorption refrigeration systems with partial and complete condensation. In order to evaluate and compare the dif-

    ferent configurations, a parameter that indicates the ratio of the ammonia vapour concentration increase in each partof the column to the total ammonia purification has been defined. The analysis has been based on the system COP.

    Finally the efficiency in each part of the column has been calculated to estimate its design requirements.

    # 2002 Elsevier Science Ltd and IIR. All rights reserved.

    Keywords: Refrigerating system; Absorption system; Ammoniawater; Distillation column; Design

    Configurations des colonnes de distillation des syste` mes

    frigorifiques a` absorption a` ammoniac/eau

    Mots cles : Syste` me frigorifique ; Syste` me a` absorption ; Ammoniac-eau ; Colonne de distillation ; Conception

    1. Introduction

    This work is circumscribed to ammoniawater absorp-

    tion systems. This technology, applied to refrigeration,

    dates its first practical applications around 1860. From

    this time on the understanding of the processes involved

    in these systems has been increasing, to the point where

    today the applied technology is considered well known.

    However, some pitfalls must be avoided in designing

    and building a prototype or an industrial system in

    order to obtain an effective behaviour and performance.

    Some of these drawbacks can derive from a deficient

    ammonia vapour purification process of the regenerated

    vapour from the system generator.

    0140-7007/03/$20.00 # 2002 Elsevier Science Ltd and IIR. All rights reserved.

    P I I : S 0 1 4 0 - 7 0 0 7 ( 0 2 ) 0 0 0 3 7 - 3

    International Journal of Refrigeration 26 (2003) 2834

    www.elsevier.com/locate/ijrefrig

    * Corresponding author. Tel.: +34-986-812605; fax: +34-

    986-812201.

    E-mail address: [email protected] (J. Ferna ndez-Seara).

    http://www.elsevier.com/locate/ijrefrig/a4.3dmailto:[email protected]:[email protected]://www.elsevier.com/locate/ijrefrig/a4.3d
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    This paper deals with the ammonia purification process

    in ammoniawater absorption refrigeration systems. In

    this type of systems the vapour pressure of water (sor-

    bent) is not negligible compared to the vapour pressure

    of ammonia (refrigerant). Therefore the vapour leaving

    the generator always contains a small part of water. The

    water content in the vapour must be reduced, because it

    tends to accumulate in the evaporator. The presence ofwater in the evaporator diminishes the evaporation pres-

    sure and strongly deteriorates the efficiency of the system.

    Ignoring the water content in the regenerated vapour

    constitutes one of the major pitfalls in designing an

    ammoniawater refrigeration system, as pointed out by

    Bogart [1].

    On the other hand, the processes used to reduce the

    vapour water content always involve the condensation

    and return of a vapour fraction back to the generator.

    This means that part of the heat input in the generator is

    used to generate vapour which does not produce refrig-

    eration. Consequently, the system efficiency is reduced.

    The effectiveness of the purification process has become

    a crucial issue in order to guarantee a reliable and effi-

    cient system operation.

    The vapour purification process can be carried out by

    partial condensation, by establishing a liquidvapour

    counter-flow or by combining both methods. In partial

    condensation the vapour is cooled, so that a small partwith a high water content condenses. The condensate is

    called reflux. The cooling process can be carried out

    using different cooling mediums. The heat exchanger

    where the partial condensation takes place is usually

    named as rectifier or reflux cooler. The counter flow

    processes are established in a distillation column. The

    vapour stream from the generator enters at the bottom of

    the column and rises in counter-flow to a liquid stream,

    so that heat and mass transfer processes between both

    phases are enabled.

    The liquid stream can be produced by condensation of

    the vapour at the column top, or can be the strong solu-tion (or a fraction) from the absorber. The liquid stream

    at the column top can be obtained by partial condensa-

    tion or by returning part of the condensed liquid from the

    condenser. The last is usually denominated complete

    condensation. The contact zone between the vapour and

    the reflux is known as the rectifying section. When the

    liquid stream is the strong solution, then the vapour

    liquid contact is established below the column feed entry

    point. This contact zone is known as the stripping section.

    If the distillation column is composed of rectifying and

    stripping section, then the liquid stream in the stripping

    section is the mixture of the reflux from the rectifying

    section and the strong solution from the absorber.

    In systems with partial condensation, the distillation

    column can be composed of one or more rectifiers and

    the rectifying and stripping sections. In complete con-

    densation systems only the rectifying and stripping sec-

    tions can be used. Therefore the ammonia purification

    process can be carried out with different distillation

    column configurations.

    In this paper a single stage ammoniawater absorp-

    tion refrigeration system has been studied. Different

    possibilities of distillation column configurations have

    been analysed for partial and complete condensation. In

    partial condensation the rectifier cooling medium can beeither an external fluid or the strong solution when a

    single stage cycle with rectifier heat integration is con-

    sidered. The evaluation of the different column con-

    figurations has been based on the system COP.

    Moreover the efficiency in each part of the column is

    calculated in order to estimate its design requirements.

    2. System description

    The single stage ammoniawater absorption refrig-

    eration systems with partial and complete condensation

    Nomenclature

    COP coefficient of performance

    Cp specific heat (J kg1 K1)

    Gr temperature gradient (K)

    h specific enthalpy (J kg

    1

    )m:

    mass flow (kg s1)

    P pressure (Pa)

    %Pur purification ratio (%)

    Refl internal reflux ratio

    Q:

    heat flow (W)

    T temperature (K)

    x ammonia mass concentration (kg kg1)

    Greek symbols

    " mass transfer efficiency

    energy efficiency

    SubscriptsA absorber

    b bomb

    C condenser

    E evaporator

    G generator

    l liquid

    R refrigerant

    rect rectifying section

    Rss strong solution cooled rectifier

    Rw water cooled rectifier

    ss strong solution

    strip stripping section

    v vapourw water

    ws weak solution

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    examined in this paper are depicted schematically in

    Fig. 1. The components of the distillation column in the

    partial condensation system are the stripping and the rec-

    tifying sections, a heat integrated rectifier with the strong

    solution as coolant and a water cooled rectifier at the top

    of the column. For the complete condensation system

    only the rectifying and stripping sections are considered(dashed line in Fig. 1).

    3. Mathematical model

    A lumped steady state model has been developed in

    order to study the vapour purification process in single

    stage ammoniawater absorption refrigeration systems

    with partial and complete condensation. The mathema-

    tical model is based on the application of global mass,

    species and energy balances and heat and mass transfer

    equations.In formulating the model the following assumptions

    have been made: heat losses to the environment are

    negligible, pressure drops are considered only between

    the evaporator and absorber, the condensed liquid from

    the condenser and the weak solution leaving the gen-

    erator are saturated, as well as the liquid and the vapour

    currents inside the column. The irreversibilities in the

    absorber, solution and liquidvapour heat exchangers

    and in the solution pump are defined by means of their

    efficiencies. State equations used for the ammoniawater

    equilibrium and thermodynamic properties have been

    calculated from Ziegler and Trepp [2].

    The mathematical model has been used to determine

    the thermodynamic state at every representative point of

    the cycle, outside of the distillation column, for the

    partial and complete condensation systems. As a result,

    the conditions of the streams entering and leaving the

    column are known. In order to determine the liquid and

    vapour state conditions inside the column an appro-

    priate parameter has been introduced. It has been

    named ammonia purification ratio (%Pur) and is

    defined as the quotient of the ammonia vapour enrich-ment achieved in any component of the column to the

    ammonia concentration difference between the vapour

    leaving the column and the vapour produced in the

    generator.

    The equations applied to the rectifying and stripping

    sections of the column and to the rectifiers are reported

    in the following sections. The model equations of the

    remainder system components are not presented here

    for the sake of simplicity and brevity, but they are

    described in detail in Refs. [3,4].

    3.1. Rectifying and stripping sections

    Applying global mass, species and energy balances

    over the rectifying section the corresponding equations

    are obtained. The vapour ammonia purification ratio

    for the rectifying section (%Purrect) is calculated using

    Eq. (1), according to its definition and nomenclature in

    Fig. 1.

    %Purrect x19 x17

    x23 x131

    For the stripping section the corresponding equations

    for the global mass, species and energy balances and for

    the ammonia purification ratio have been derived. At

    the feed entry point, it is assumed that the liquid and

    vapour fractions of the feed flow mix with the down-

    ward liquid from the rectifying section and with the

    upward vapour from the stripping section, respectively.

    Thus, the liquid and vapour conditions at the top of the

    stripping section can be determined.

    3.2. Rectifiers

    Global mass, species and energy balances over the

    water cooled rectifier are also obtained. For the watercooled rectifier, the purification ratio is defined in Eq.

    (2).

    %PurRw x23 x21

    x23 x132

    In the literature concerning mass transfer operations,

    the liquid and vapour phases leaving a rectifier are

    usually considered to be in thermodynamic equilibrium

    and therefore the rectifier is assumed to be equivalent to

    a theoretical stage [5]. However, in this paper this

    assumption is not made and an efficiency term () thatFig. 1. Schematic diagram of the distillation column with par-

    tial or complete condensation.

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    expresses the vapour concentration deviation from

    thermodynamic equilibrium conditions is taken into

    account. For the water cooled rectifier, the efficiency

    used is given in Eq. (3).

    "Rw x T23 T22 x21

    x23 x21

    3

    In mass transfer operations, deviations from conditions

    of a theoretical stage are generally expressed by the Mur-

    phree efficiency [6], which is defined as the inverse of Eq.

    (3). However, in a rectifier the liquid temperature at the

    outlet is frequently greater than the vapour temperature

    leaving the rectifier and, consequently, the Murphree

    vapour efficiency exceeds unity. Therefore, the efficiency

    expression in Eq. (3) has been chosen. For the strong

    solution cooled rectifier corresponding equations to the

    water cooled rectifier have been derived.

    4. Results and discussion

    The mathematical model described in the previous sec-

    tion has been implemented in a computer program using

    Fortran 90. The implemented model has been used to

    simulate and analyse the performance of absorption

    refrigeration systems considering partial and complete

    condensation processes to purify the generated vapour.

    The analysis has been performed varying the distillation

    parameters one at a time while keeping the others para-

    meters that define the operation of the absorption

    refrigeration system at a constant value. The operating

    conditions are indicated in Table 1, where the rectifier

    efficiencies are given only for the partial condensation

    system.

    4.1. Partial condensation systems

    The results presented here for the partial condensa-

    tion systems examine the effect of diverse configurations

    of the distillation column on the system COP, as well as

    the required components efficiencies. This has been done

    by varying the vapour purification ratio in the rectifiers

    and in the stripping and rectifying sections, considering

    also the cases of systems where some of these components

    are not used.

    4.1.1. Effect of vapour purification ratios distribution on

    the system COP

    Fig. 2 shows the system COP as a function of the

    ammonia vapour purification ratio carried out in therectifiers. The rectifiers purification ratio was varied

    from 0 to 90% of the total ammonia purification pro-

    cess in the column (from x13 to x23) while a constant

    value of 10% was established for the rectifying section

    (%Purrect=10%). Thus, the special cases when one of

    the rectifiers is not used (%PurRw=0% or%PurRss=

    0%), none are used (%PurRw=0% and%PurRss= 0%)

    or the stripping section is not used (%PurRw+%

    PurRss=90%) are included in this figure.

    Fig. 2 reveals that solutions can not be obtained for

    the whole range considered. This means that for the

    operating conditions in Table 1, the specified ammoniaconcentration can not always be attained. For a fixed

    value of the ammonia purification ratio in the water

    cooled rectifier %PurRw (different curves in Fig. 2) the

    existing solutions are limited for small %PurRss values

    since, in this case, the liquid reflux generated from the

    condensation of the vapour stream in the rectifiers is not

    enough to achieve the desired ammonia concentration

    specified in the rectifying section (x19x17). However, if

    %PurRw increases, solutions can be found for smaller

    %PurRss values since the required reflux is generated in

    the water cooled rectifier. On the other hand for a given

    %PurRw value, the available solutions are also limited

    to the %PurRw value for which the sum of the vapour

    purification ratios in all components is 100%.

    Fig. 2 shows that increasing %PurRss for a constant

    %PurRw value decreases the system COP. The same

    result is observed when increasing %PurRw for a con-

    stant %PurRss value. However, in this case COP values

    Table 1

    Operating conditions

    TE (K) 258 P (Pa) 10 000

    TG (K) 398 "A 0.7

    Tw (K) 293 "l-v 0.7

    TC (K) 8 "ss-ws 0.8

    TA (K) 10 "b 0.5

    QE (W) 5000 "Rss 0.7

    xR (kg kg1) 0.999 "Rw 0.7

    Tevap (K) 10

    Fig. 2. Partial condensation system COP as a function of the

    purification ratio of the strong solution cooled rectifier for dif-

    ferent values of the purification ratio of the water cooled recti-

    fier and with a value of 10% for the purification ratio of the

    rectifying section.

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    are lower since the rectifier heat is rejected to a heat sink

    outside the system (cooling water) instead of being used

    within the absorption system [7].

    If the rectifying section is not considered (%Purrect=

    0%), the range of available solutions increases, since

    restrictions are only imposed by the stripping section

    efficiency which must be between 0 and 1. However, theCOP obtained is the same than in Fig. 2, since the rec-

    tifying section is replaced with a larger stripping section

    and both of them operate adiabatically. From the pre-

    sented results, an appropriate configuration can be chosen

    for a given application, based on the system COP.

    4.1.2. Rectifying and stripping sections efficiencies

    The achievement of a high purification ratio in a dis-

    tillation column component usually means high efficiency

    requirements. This implies that the vapour current con-

    tacts a large surface area, resulting in a component of

    higher dimensions. Thus, in order to complete the pre-vious analysis the efficiencies of the stripping and recti-

    fying sections have also been studied when varying the

    purification ratios of the column components.

    The stripping and rectifying section efficiencies are

    defined as the quotient of the ammonia vapour con-

    centration enrichment value to the theoretical maximum

    value for the given vapour and liquid inlet conditions. Eqs.

    (4) and (5) represent the efficiencies of the rectifying and

    stripping sections, according to nomenclature in Fig. 1.

    "rect x19 x17

    x T19T20 x174

    "strip x15 x13

    x T15T16 x135

    Fig. 3 shows the efficiency of the rectifying section nee-

    ded to achieve a purification ratio of 10% (%Purrect=

    10%) versus the strong solution rectifier purification ratio

    (%PurRss) and for different %PurRw values. The recti-

    fying section efficiency is rather low, which suggests that

    for the given conditions a higher vapour ammonia con-

    centration could be obtained. However, the vapour

    enrichment is limited for decreasing values of %PurRss

    and %PurRw because the reflux solution is low and,consequently, the efficiency of the rectifying section

    based on the liquid phase concentration which is defined

    in Eq. (6) is close to unity.

    "rect;l x20 x18

    x20 x T18T17 6

    Fig. 4 shows the necessary stripping section efficiency

    for different values of %PurRss and %PurRw for the

    most adverse case corresponding to not using the recti-

    fying section (%Purrect=0%). Some of the curves in

    Fig. 4 extend from zero to unity efficiency values, limit-ing %PurRss possible values. Since the liquid flow is

    much higher than the vapour flow, it is usually possible to

    achieve high purification ratios with a stripping section of

    moderate dimensions.

    4.1.3. Rectifier efficiencies

    Fig. 5 shows the strong solution cooled rectifier effi-

    ciency when %Purrect= 0%. The efficiencies are defined in

    Eqs. (7) and (8) and considering the relation between the

    heat capacity ratio of both fluids and the nomenclature

    shown in Fig. 1.

    Rss Q:

    Q:

    max

    m:

    7 h8 h7

    min m:

    19 h19 m:

    21 h21 m:

    20 h20 T21T7 ;

    m:

    7 hT8 T19 h7

    7

    Fig. 3. Rectifying section efficiency as a function of the purifica-

    tion ratio of the strong solution cooled rectifier for different values

    of the purification ratio of the water cooled rectifier and with a

    value of 10% for the purification ratio of the rectifying section.

    Fig. 4. Stripping section efficiency as a function of the pur-

    ification ratio of the strong solution cooled rectifier for different

    values of the purification ratio of the water cooled rectifier and

    with the purification ratio of the rectifying section being zero.

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    Rw m:

    w Cpw Tw;out Tw;in

    min m:

    21 h21 m:

    23 h23 m:

    22 h22 T23 Tw;in ;h

    m:

    w Cpw TTw;outT21 Tw;in i

    8

    The efficiency of the water cooled rectifier increaseswhen increasing %PurRw but remains constant when

    varying the purification ratio of the strong solution rec-

    tifier (%PurRss), because the vapour inlet conditions are

    set by %PurRw. However, Fig. 5 reveals that the strong

    solution rectifier efficiency increases when increasing

    %PurRss and when decreasing %PurRw, since in this

    case, the condensate solution leaving the water cooled

    rectifier enters the strong solution cooled rectifier and its

    thermodynamic conditions vary with %PurRw.

    As stated before, the system COP decreases when

    increasing the vapour enrichment carried out in the

    water cooled rectifier. Therefore, avoiding the use of thisrectifier seems a practical option attending to the system

    COP results. However, according to Fig. 5 for %PurRw=

    0% values, the required solution rectifier efficiency can be

    as high as 0.95, hence for specific applications it would be

    interesting to use the water cooled rectifier in order to

    avoid the needs for a high efficiency in the solution rectifier.

    4.2. Complete condensation systems

    The parameters being considered in the analysis of the

    purification process by means of complete condensation

    are the internal reflux ratio and the purification ratios in

    the rectifying and stripping sections. However, since the

    column operates adiabatically only the reflux ratio

    influences the system COP. The internal reflux ratio is

    defined in Eq. (9), according to nomenclature in Fig. 1.

    Reflm:

    24

    m:

    23

    m:

    24

    m:

    1 m:

    24

    9

    4.2.1. Effect of the internal reflux ratio on the system COP

    Fig. 6 shows the system COP versus the reflux ratio,

    for different purification ratios in the rectifying andstripping sections. When increasing the reflux ratio, the

    vapour leaving the distillation column and the liquid

    returned from the condenser increase. Thus, more liquid

    returns to the generator and more vapour must be pro-

    duced, which implies that the generation heat load must

    increase and consequently the system COP decreases.

    The COP values obtained are lower than for the partial

    condensation system. This is due to the extra heat rejected

    for cooling the column liquid reflux in the condenser,

    where no vapour purification is performed.

    4.2.2. Rectifying and stripping sections efficienciesAs mentioned, the purification ratios do not affect the

    system COP, but rather influence the components effi-

    ciency and the range of possible solutions. Results

    obtained from the model developed have shown that the

    ammonia refrigerant concentration specified in Table 1

    can be achieved with a specific COP and a given reflux

    ratio with different column configurations.

    Fig. 7 shows the rectifying efficiency versus the reflux

    ratio for different purification ratios of the rectifying

    section (%Purrect). For large %Purrect values available

    solutions are limited by small reflux ratio values. This

    accounts for the small liquid flow returned to the column,

    which is not enough to enrich the vapour current to the

    desired ammonia concentration. Under these conditions

    the liquid may come close to equilibrium with the vapour

    and consequently the rectifying efficiency in terms of

    liquid composition approaches unity.

    Fig. 7 reveals that fewer solutions were found for

    small purification ratio values, since according to Fig. 8,

    the stripping efficiency approaches unity, meaning that the

    vapour current is close to equilibrium with the liquid

    Fig. 5. Strong solution cooled rectifier efficiency as a function

    of the purification ratio of the strong solution cooled rectifier

    for different values of the purification ratio of the water cooled

    rectifier and with the purification ratio of the rectifying section

    being zero.

    Fig. 6. Complete condensation system COP as a function of

    the internal reflux ratio.

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    reflux. For large values of the reflux ratio, the liquid mass

    flow returned from the condenser increases significantly,

    thus, reflux conditions dominates in the stripping sec-

    tion instead of the feed point conditions, which explains

    the changes in the slope of the curves of Fig. 8.

    Figs. 7 and 8 also show that when decreasing the

    reflux ratio, fewer purification ratio combinations are

    possible. The minimum reflux ratio is found when onlyone possible solution is obtained and the stripping effi-

    ciency and the rectifying efficiency in terms of liquid

    composition are unity [8] (extreme point of dashed curve

    in Figs. 7 and 8).

    5. Conclusions

    This paper presents a study on the different distilla-

    tion column configurations to carry out the ammonia

    vapour purification process considering partial and

    complete condensation for a single stage ammonia

    water absorption refrigeration system. The analysis is

    based on a mathematical model applied to different dis-

    tillation column configurations. The model includes a

    new parameter named as ammonia purification ratio. The

    different column configurations are evaluated and com-pared based on the ammonia purification ratio carried out

    in each column component and on the system perfor-

    mance obtained. Moreover the mass and heat transfer

    efficiencies in each part of the column are calculated in

    order to evaluate their design requirements.

    In the partial condensation system the liquid reflux is

    generated in two rectifiers located at the top of the col-

    umn over the rectifying section. Results have shown that

    using the water cooled rectifier decreases significantly

    the system COP. Therefore this rectifier should be avoi-

    ded or reduced as much as possible. Moreover, the rec-

    tifying section was shown to have low efficiency in termsof vapour concentration due to the small liquid reflux

    from the rectifiers. Hence, the use of the rectifying sec-

    tion could be avoided in some applications, given that

    an appreciable benefit is not expected, which would also

    simplify the column design. The complete condensation

    system leads to simpler column designs, since the recti-

    fiers are not used. However, the COP values predicted

    are lower than for the partial condensation system.

    References

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    Fig. 8. Stripping section efficiency as a function of the internal

    reflux ratio for different values of the purification ratio of the

    rectifying section.

    Fig. 7. Rectifying section efficiency as a function of the internal

    reflux ratio for different values of the purification ratio of the

    rectifying section.

    34 J. Fernandez-Seara et al. / International Journal of Refrigeration 26 (2003) 2834