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    Thermodynamic study of the supercritical water reforming

    of glycerol

    F.J. Gutierrez Ortiz*, P. Ollero, A. Serrera, A. Sanz

    Departamento de Ingeniera Qumica y Ambiental, Universidad de Sevilla, Camino de los Descubrimientos, s/n, 41092 Sevilla, Spain

    a r t i c l e i n f o

    Article history:Received 15 March 2011

    Accepted 14 April 2011

    Available online 18 May 2011

    Keywords:

    Reforming

    Supercritical water

    Thermodynamic analysis

    Equation of state

    Glycerol

    Biodiesel

    a b s t r a c t

    Hydrogen can be produced by steam reforming, partial oxidation, autothermal, or aqueous-phase reforming processes using various noble metal based catalysts, but also by super-

    critical water (SCW) reforming. Using AspenPlus, a systematic thermodynamic analysis

    of glycerol reforming using supercritical water has been carried out by the total Gibbs free

    energy minimization method, which computes the equilibrium composition of synthesis

    gas (syngas). The predictive SoaveeRedlicheKwong equation of state (EOS) has been used

    as thermodynamic method in the simulation of the supercritical region, after evaluating it

    against other EOS methods. A sensitivity analysis has been conducted on supercritical

    water reforming of pure and pretreated crude glycerol, as obtained from biodiesel

    production. The effect of the main operating parameters (temperature, concentration of

    glycerol feed, glycerol purity in the feed of crude glycerol, and pressure) aimed to the

    hydrogen production has been investigated in the reforming process, by obtaining the mole

    fraction and molar flow-rate of components in syngas, as well as the hydrogen yield.

    Selectivity to the different compounds has been also calculated. By this way, the ther-modynamic favorable operating conditions at which glycerol may be converted into

    hydrogen by SCW reforming have been identified. The simulation results agree well with

    some few experimental data from the literature. This study is the first of a series addressed

    to glycerol reforming using SCW.

    Copyright 2011, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights

    reserved.

    1. Introduction

    In recent years there have been intensive efforts toward the

    development of novel technologies for the production of

    hydrogen from renewable resources, mainly biomass. Among

    the various biomass-derived compounds proposed as feed-

    stock for hydrogen production, glycerol (C3H5(OH)3) is of

    special interest because it is produced in large amounts (10 wt

    %) as by-product of the chemical reaction (transesterification)

    in which vegetable oil is processed into biodiesel. By-product

    glycerol comprises a mixture of several other constituents,

    such as methanol, water, inorganic salts, free fatty acids,

    unreacted mono-, di-, and triglycerides, and methyl esters.

    Conventional options for crude glycerol consist of refining it to

    a higher purity. Unfortunately, the rapidly expanding market

    for biodiesel cannot accommodate the excess amounts of

    glycerol generated altering thus the cost and availability of

    glycerol. However, glycerol production and utilization has

    a great impact on both the economic stability and sustain-

    ability of biodiesel production that will continue to increase as

    the industry grows. As such, for utilizing the glycerol by-

    product it is crucial to develop innovative processes.

    The valorization of the crude glycerol, while avoiding the

    application of expensive purification processes, will allow

    * Corresponding author. Tel.:34 95 448 72 68; fax: 34 95 446 17 75.E-mail address:[email protected](F.J. Gutierrez Ortiz).

    A v a i l a b l e a t w w w . s c i e n c e d i r e c t . c o m

    j o u r n a l h o m e p a g e : w w w . e l s e v i e r . c om / l o c a t e / h e

    i n t e r n a t i o n a l j o u r n a l o f h y d r o g e n e n e r g y 3 6 ( 2 0 1 1 ) 8 9 9 4 e9 0 1 3

    0360-3199/$ e see front matter Copyright 2011, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights reserved.

    doi:10.1016/j.ijhydene.2011.04.095

    mailto:[email protected]://www.sciencedirect.com/http://www.elsevier.com/locate/hehttp://dx.doi.org/10.1016/j.ijhydene.2011.04.095http://dx.doi.org/10.1016/j.ijhydene.2011.04.095http://dx.doi.org/10.1016/j.ijhydene.2011.04.095http://dx.doi.org/10.1016/j.ijhydene.2011.04.095http://dx.doi.org/10.1016/j.ijhydene.2011.04.095http://dx.doi.org/10.1016/j.ijhydene.2011.04.095http://www.elsevier.com/locate/hehttp://www.sciencedirect.com/mailto:[email protected]
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    augmented profitability of the biodiesel plants. One promising

    and economical alternative is the transformation of glycerol

    into an energy derivative as, for instance, to use it as

    a renewable source of hydrogen, which is often defined as the

    future energy carrier. This can be done with the use of several

    methods including some reforming processes. Besides,

    establishing a technology for hydrogen production from this

    waste is desirable from the perspective of reduction of fossilfuel consumption for power generation.

    By now, glycerol reforming has been extensively studied

    and an evaluation of these studies appears attractive. Three

    types of glycerol reforming processes e steam reforming

    [1,2], aqueous-phase reforming[3], and autothermal reform-

    ing [4] e have primarily been investigated, but the glycerol

    reforming by using supercritical water (SCW) has been barely

    studied from a thermodynamic point of view, and even less

    using not pure but crude glycerol.

    Reforming reactions are generally endothermic, and

    a reforming process may be characterized depending on the

    source of heat and types of reactants. A general equation to

    describe glycerol reforming is shown in reaction (1).

    C3H8O3 xH2O aCO2 bCO cH2O dH2 eCH4 . (1)

    The equilibrium composition depends upon the reactant

    ratios as well as the reaction temperature and pressure.

    Reforming products include hydrogen and carbon monoxide

    in addition to carbon dioxide and methane. A catalyst is nor-

    mally used to accelerate the reactions in the reforming

    process. Ni, Co, Ni/Cu, and noble metal (Pd, Pt, Rh) based

    catalysts all favor hydrogen production, with Ni being the

    most commonly used[5]. Catalysts boost the reforming reac-

    tion rates at the molecular level and many thorough discus-

    sions of the topic are available in the literature.Glycerol steam reforming is the more popular reforming

    process, and it can be represented by the overall reaction (2):

    C3H8O3 3H2O 3CO2 7H2 (2)

    Thus, 7 mol of H2are produced per mol of glycerol on the

    reaction stoichiometry. Major concerns are by-product

    formation (e.g., CO), catalyst deactivation, and high energy

    consumption. There are more reforming processes and this

    work is focused on reforming using supercritical water (SCW),

    which is defined as water that is heated and compressed over

    its critical temperature (374 C) and pressure (22.1 MPa).

    Supercritical water (SCW) has properties very different

    from those of liquid water. The dielectric constant of SCW ismuch lower, the number of hydrogen bonds is much lower

    and their strength is much weaker. As a result, SCW behaves

    like many organic solvents so that organic compounds have

    complete miscibility with SCW. Moreover, gases are also

    soluble in SCW, thus an SCW reaction environment provides

    an opportunity to conduct chemistry in a single fluid phase

    that would otherwise occur in a multiphase system under

    conventional conditions[6].

    Gases like CO2, CH4, H2, and CO are completely miscible in

    supercritical water[7,8]. The polar inorganic compounds like

    KCl, NaCl, CaSO4etc., which have high solubility in subcritical

    water, shows very low solubility in supercritical water. Thus,

    it is relatively easy to separate them from the product. This

    allows the product of SCWG to leave the system free from the

    salt. More details are available in the literature[9].

    Supercritical water is characterized by its high ion product,

    which implies high [H] or [OH] concentration in supercrit-

    ical water. This allows SCW act like an acid or base catalyst in

    the reactions. Many organic chemicals that do not react in

    water without the presence of strong acid or base catalyst may

    readily react under the hydrothermal condition of SCW.Reactivity of water increases in the neighborhood of the

    critical point with or without a catalyst. Thus, the reforming of

    glycerol to synthesis gas or syngas (SG) using supercritical

    water under a catalyst-free process arises as a very interesting

    alternativeand it will be studiedin a futureexperimental work.

    Due to the unique properties of SCW, thermodynamic

    equilibrium and high chemical reaction rates are possible. In

    fact, using SWC may be an excellent means for extraction of

    energy from biomass, and allows high hydrogen concentra-

    tion in the product gas with suppression of char and tar

    formation[10]. At temperature higher than 600 C and pres-

    sure higher than that of its critical point, water becomes

    a strong oxidant. As a result, carbon is preferentially oxidizedinto CO2although low concentrations of CO are also formed.

    The hydrogen atoms of water and glycerol, as biomass, are set

    free and form H2. The gas product (syngas) consists of H2, CO2,

    CH4 and CO.Thus, for the design of thereactorand separators,

    the knowledge of phase equilibria is very important.

    2. Aims and scope

    The objective of a reforming process of crude glycerol is to

    produce hydrogen; however selectivity to hydrogen remains

    challenging due to subsequent reactions in the gas. Thermo-

    dynamic studies are very important because they provideinformation on conditions that are advantageous for

    hydrogen production. Thus, the aim of this study is to

    examine hydrogen production by SCW reforming of pure and

    crude glycerol,which comprises impurities that cause catalyst

    deactivation. Firstly, a discussion about the most suitable

    thermodynamic method to be used for the simulation of the

    supercritical state is carried out. Then, by predicting the

    synthesis gas composition (hydrogen, carbon monoxide and

    others) at equilibrium condition in the reforming reactor,

    a sensitivity analysis is performed to know the effect of the

    main operating parameters on hydrogen yield, so as to ach-

    ieve optimal conditions for glycerol SCW reforming that

    maximize hydrogen production.

    3. Equations of state and simulation of thesupercritical state

    When the operating temperature is beyond the critical point,

    the simulation tool used in this work, AspenPlus, considers

    a gaseous behavior for the stream. Likewise, for lower

    temperatures the properties taken by this software corre-

    sponds to a liquid. Therefore, in the supercritical region, the

    error of some thermodynamic properties, like enthalpy and

    entropy, should be quoted depending on their reference to the

    liquidorvaporstate,asconsideredbyAspenPlus .Bychecking

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    and comparing the results provided by different thermody-

    namic methods, previously discriminated based on their

    rightness of use in supercritical state, the most suitable one to

    be chosen is that providing minima deviations in properties

    from liquid and vapor state. Besides, this is also essential as

    a prior step for achieving a conceptual design of the processto

    bestudied with confidence,by carryingout energyanalysisand

    using a heat exchangers network for recovering the processheat[11].

    The most computationally straightforward and thermody-

    namically consistent method for calculating high pressure

    phase behavior is to select an equation of state (EOS) to model

    both the liquid and vapor or supercritical fluid phases, in

    opposition to those thermodynamic methods based on activity

    coefficients, which cannot be used for phase equilibrium with

    supercritical fluids due to the different manner that they treat

    each phase, and hence they cannot represent the changes that

    occur in the critical region in continuous form. The thermo-

    dynamicmethod finally chosenfor fugacitycalculation was the

    predictive SoaveeRedlicheKwong (PSRK) equation of state

    [12,13], which is an extension of the SRK equation of state, anduses the generalized MathiaseCopeman a-function. This

    model uses the HolderbaumeGemehling mixing rules, which

    can predict the binary interactions at any pressure. Using

    UNIFAC, the PSRK method is predictive forany interaction that

    can be predicted by UNIFAC at low pressure. The main advan-

    tage of using PSRK equationof state is that it is more accurate in

    the prediction of the binaryinteraction parameters andit gives

    more satisfactory results for mixtures of non-polar and polar

    components, as the case of the crude/pure glycerol and water

    mixture. This choice has been weighed against other thermo-

    dynamic methods such as the original SoaveeRedlicheKwong

    (SRK), Peng-Robinson (PR) and Peng-Robinson with the Boston-

    Mathias afunction (PR-BM).The PSRK method represents quite accurately the super-

    critical state for the glycerol and the CO2 (taking as a reference

    since it is probably the fluid more studied in supercritical

    state), as shown inFig. 1, although 240 atm is a pressure much

    higher than critical pressure of glycerol (74.02 atm) and CO2(72.86 atm). PR and PR-BM also give a very good fit and the SRK

    shows small deviations, although these are not shown.

    On the other hand, for the water, the PSRK method shows

    the minimum deviation between the liquid and vapor curves

    in the supercritical state (Fig. 2) of all the thermodynamic

    methods tested. The absolute error for specific enthalpy(difference between liquid and vapor curves) has been quoted

    between 3 and 6 kJ/mol in the critical region, showing the

    maximum deviation around 565 C. Although 6 kJ/mol may

    not be considered as a large difference, it should be noted that

    the glycerol should be very dilute in the reforming with SCW,

    as after explained, so an error of 6 kJ/mol could become

    a significant divergence from the energy standpoint. The PR

    and PR-BM methods showed behaviors similar to that depic-

    ted inFig. 2for PRSK, but the deviations are slightly higher.

    Then, these methods could be also used with relative confi-

    dence. However, the SRK method showed large errors.

    For the glycerol, it has beenverified thatin the supercritical

    state,the vaporizationheat is saved,which is a very significantenergy saving andagreeswell with data from literature [14,15].

    This is illustrated inFig. 3, where a specific energy saving of

    47.3 kJ/mol is obtained when operating at 600 C and 240 atm,

    which is lower than theglycerol vaporizationheat (58.2 kJ/mol)

    at its boiling point (1 atm, 290 C). However, the energy saving

    continuously decreases as the temperature rises.

    In the case of water, depicted in Fig. 4, there is an uncer-

    tainty relative to the error due to the mismatch between the

    enthalpies referred to vapor andliquid states fortemperatures

    higher than the critical temperature. This inconvenient may

    be overcome by an average curve between the vapor and

    liquid curves, with a maximum error of 3 kJ/mol, or by

    directly taking the vapor curve as the valid one, since thisoption corresponds to the minimum energy saving. The

    increase in enthalpy is huge when changing from liquid to

    vapor at atmospheric pressure. However, for the liquid at

    Fig. 1e

    Simulation of the supercritical state for glycerol and CO2at 240 atm (PSRK method).

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    240 atm, it can be seen that when temperature rises to the

    critical value, the slope of the curve rapidly increases. Beyond

    this zone, the specific energy saving becomes 10.7 kJ/mol at

    400 C(Fig. 4). Although this value is quite lower than that for

    glycerol, there will be a significant energy saving due to the

    heat up of the large amount of water required for the SCW

    reforming of glycerol to maximize hydrogen yield, as below

    exposed. However, by increasing the temperature from 400 to

    800 C, the specific energy saving would decrease from 10.7 to

    4.5 kJ/mol. Therefore, the energy saving is lower for temper-

    atures much higher than 374 C. Besides, the energy analysisshould account for the mechanical energy necessary to raise

    the pressure from atmospheric to supercritical values.

    Fig. 5illustrates the effect of pressure on simulation of the

    supercritical state for the water, it can be seen that when the

    pressure increases over the critical value, the vapor curve

    exhibits a decrease in enthalpy at temperatures slightly under

    the critical one in such a way that the liquid and vapor

    enthalpies matchesjust in the critical point. Besides, when the

    pressure is twoethree times higher than critical pressure, the

    vapor and liquid states match well for supercritical tempera-

    tures. InFig. 6a more narrow range of temperatures has been

    used in order to get better accuracy in thecited vapor behavior

    around the critical point under different pressures. Thus, itwas carried out an analysis between 350 and 400 C using

    temperature increments of 0.10 C (500 point data versus the

    Fig. 2 e Evolution of the water trend in liquid and vapor state at 240 atm (PSRK method) - each enthalpy interval is 2 kJ/mol.

    Fig. 3e Vaporization heat (l) and energy saving for the glycerol at 240 atm. The blue curve represents the vapor state at

    atmospheric pressure and it is taken as a reference in the computation of the energy saving. (For interpretation of the

    references to colour in this figure legend, the reader is referred to the web version of this article.)

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    previous figures that is 100 point data). These analyses weredone for both subcritical and supercritical conditions. At 210

    and 215 atm, the enthalpy curves for liquid and vapor phases

    are not still concurrent. At 218 atm, the curves match each

    other just at 374 C. At pressures higher than the critical one,

    the enthalpy curve tends to abruptly diminish just at 374 C,

    where it matches with theliquidcurve. Next, a unique curve is

    shown. The sudden enthalpy drop of the vapor curve at the

    critical temperature for pressures higher than the critical is

    quite sound. The reason is because the thermodynamic

    method used is based on an EOS where, by definition, thefugacity of liquid and vapor in the critical point must be equal.

    This implies that all the properties must be equal in this point,

    and so the enthalpy. By this way, it has been obtained

    a decrease in enthalpy as the temperature increases inside

    a given range just before reaching the critical point, which is

    not thermodynamically reasonable. The explanation of this

    simulated behavior is due to the vapor curve for water is not

    real at temperatures lower than the critical under pressures

    higher than the critical. That is, at pressures as high as those

    Fig. 4 e Vaporization heat (l) and energy saving for the water (supercritical pressure of 240 atm).

    Fig. 5e

    Enthalpy variation for water in liquid and vapor phase at 220, 300, 600 and 800 atm.

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    used in these analyses, the water must be in liquid phase. As

    a consequence, although AspenPlus

    provides results for thevapor curve in any interval of temperatures, the part of the

    vapor curve to be rightly usedis that just over the critical point,

    i.e., the part relative to the supercritical region. Likewise, the

    rapid increase of the liquid enthalpy around the critical

    temperature found for pressures around the critical pressure

    becomes negligible at pressures higher than 400 atm, where

    supercritical state is more clearly distinguished from the

    subcritical state.

    Finally, a sensitivity analysis for the case of water was

    carried out to study the transition from the subcritical to

    supercritical state starting at a given pressure. Results are

    shown inFig. 7, in an HeP diagram, where it can be seen that

    there is a decrease in the enthalpy corresponding to thevaporization heat due to phase change from vapor to liquid for

    all the isothermal curves, except at 400 and 500 C (values

    higher than the critical temperature). This vaporization heat

    decreases when temperature approaches to the critical one

    (374 C), where becomes null. Beyond the critical point,

    enthalpy slightly decreases as pressure rises.

    4. Methodology of the thermodynamicanalysis

    For given operating conditions, the equilibrium compositions

    in the reforming reactor have been calculated. The

    computation has been made with the aid of AspenPlus

    version 2006.5[16]. In this study, an R-Gibbs reactor has beenused to calculate the products composition and the heat of

    overall reaction in a system under the conditions that mini-

    mize of Gibbs free energy. This is a non stoichiometric

    approach, where a selection of the possible set of reactions is

    not necessary and does not require any initial estimation of

    the equilibrium. Indeed, the method of minimizing the Gibbs

    free energy is normally preferred in fuel-reforming analysis,

    especially when the reaction temperature and pressure are

    specified. The R-Gibbs reactor does not take reaction kinetics

    into account and allows individual reactions to be at

    a restricted equilibrium.

    The thermodynamic analysis ignores and does not provide

    kinetics effects of reactions taking place, and it assumesequilibrium. Although a practical situation may diverge, the

    results of the analysis provide a valuable reference on optimal

    conditions for hydrogen production so as to design experi-

    mental tests and compare the results from these.

    4.1. Process simulated

    The simulated process is illustrated inFig. 8. The flow-sheet

    consists of a high pressure pump for the glycerol-water

    mixture, obtained in a mixer and a heater in order to respec-

    tively get the pressure and temperature specified for the

    reforming reactor. It is assumed that reactor also operates by

    providing the energy needed to hold the endothermic

    Fig. 6e Enthalpy variation between 350 and 400 C for water in liquid and vapor phase at 210 and 215 atm (subcritical

    conditions), 218 atm (critical conditions), and 220, 240, 400 and 600 atm (supercritical conditions).

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    reactions so as to operate at the specified temperature.

    Hydrogen, carbon monoxide, carbon dioxide, methane,

    ethane, propane, water, methanol, ethanol and glycerol as

    well as pure carbon were manually added forbeing considered

    as the possible species in SCW reforming of glycerol. The

    simulation did not predict coke formation for any of the

    experimental conditions in this paper, and it did not add any

    other compound (mole fractions lower than 1020). Next, an

    expander (turbine) is included to reduce the pressure in an

    efficient way. Downstream from the expander, a cooler

    diminishes the temperature to 200 C. Then, an Equilibriumreactor (Requil) is usedto model the wateregas shift reaction to

    increase the conversion to hydrogen in the syngas and to

    reduce the CO content, which poisons the anode of proton

    exchange membrane fuel cells (PEMFC). Requiloperates with-

    drawing the energy released from the exothermic reaction so

    as to operate at the specified temperature. The outlet stream is

    after cooled to 60 C in another cooler to drive, e.g., the gas to

    a PEMFC where hydrogen would be converted into electrical

    energy. Finally, a flash separator is included to separate liquid

    condensates from the gaseous phase. Pressure reduction

    should not be made after cooling to 200 C because another

    separator should be added, prior to expansion, where there

    would be a significant fraction of hydrogen removed in the

    liquid outlet stream and, hence, an important yield lost.

    Specifications of elements used in the simulation are shown

    inTable 1. As aforementioned, the thermodynamic method

    used has been the predictive SoaveeRedlicheKwonge(PSRK).

    This method was contrasted against UNIFAC and Ideal

    methods for the low pressure zone of flow-sheet downstream

    from the expander (operating at about atmospheric pressure),but results are undisturbed, so for the sake of simplicity, PSRK

    method was used for all the simulation.

    4.2. Crude glycerol simulated

    Two feeds have been considered: pure and pretreated crude

    glycerol. Normally, 1:6e1:9 M ratios of oil-to-methanol are

    used in the transesterification of vegetable oilto biodiesel with

    catalyst NaOH. After the reaction is finished, large amount of

    Fig. 7e

    Enthalpy of water as function of pressure at constant temperature (100, 200, 300, 350, 400 and 500 C).

    05 SG1

    01

    02 03

    04

    SG2

    8

    SG3

    W

    GLY

    SG4

    W2

    COOL1

    PUMP

    HEAT1R1

    R2

    COOL2

    B1

    B2 SEP

    Fig. 8e

    Flow-sheet of the simulated process.

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    the methanol is unreacted. Since methanol and glycerol both

    have carbon-to-alcohol ratios of 1:1 with associated high

    degrees of hydrogen bonding, the methanol preferentially

    distributes into glycerol phase, and only a relatively small

    amount dissolves in biodiesel, as experimentally verified[17].

    Indeed, the main components of crude glycerol are glycerol

    and methanol [18], and also water [19], which is used to reduce

    its viscosity and allow the crude glycerol to be pumped.

    Anyway, in order to better perform the reforming process, an

    economic solution for the partial purification of crude glycerol

    stream should be done, especially to reduce the negativeimpact on catalyst and reactor material under supercritical

    conditions. Thus, in this study it is assumed that de crude

    glycerol is pretreated to remove high salt (it may be very

    corrosive) and free fatty acid content as well as methyl esters

    impurities (these two latter may be converted into undesired

    tar and coke [10]), e.g., by neutralization. The salt formed

    during this phase may be recovered for use as fertilizer, after

    precipitation and filtration. Furthermore, the methanol may

    be stripped from thisstreamto be recoveredand reused. Thus,

    this pre-treatment would produce a stream with >80 wt%

    pure glycerol. Therefore, a pretreated crude glycerol consists

    of glycerol (80 wt%), methanol (20 wt%) and no waterhas been

    considered in this study. The possible water content in thepretreated crude glycerol feed is included inside the water

    stream, and thus an anhydrous crude glycerol feed is referred

    in this work.

    The upper concentration of MeOH has been limited to 30 wt

    % in the crude glycerol, as a realistic value, since the MeOH

    recovery is essential for the economy of a biodiesel production

    plant.

    5. Results and discussion

    A sensitivity analysis has been carried by varying operating

    pressure and temperature as well as the glycerol feed

    concentration for both the pure and the pretreated crude

    glycerol. In addition, for this latter, a sensitivity analysis has

    been performed for the MeOH content in the crude glycerol,

    as a measure of the glycerol purity of crude feed. The total

    molar flow-rate fed to the system is always 1000 mol/h. The

    analyses were carried out over the following variable ranges:

    temperature of 400e1000 C, glycerol to feed (glycerol plus

    water) mole ratio of 1e

    16 (990 mol/h water and 10 mol/hglycerol e 840 mol/h water and 160 mol/h glycerol) and

    pressure ranging from 200 to 300 atm, for both pure and

    pretreated crude glycerol. MeOH content in the crude glycerol

    was changed from 10 to 30 wt%. Selectivity results are

    analyzed for the reactor outlet stream (4) and the hydrogen

    yield is referred to this stream as well as to the outlet stream

    of the WGS reactor (stream SG2), so as to include the global

    process.

    In the simulation results, the contents of ethane,

    propane and ethanol have been grouped as the content in

    organic carbon different of methane (namely Others), due to

    in all the cases the concentration of those compounds at

    the reactor outlet are quite lower than those correspondingto the other compounds. In addition, at glycerol to feed

    mole ratios used from 1 to 16, carbon formation is predicted

    to be thermodynamically inhibited at any temperature

    analyzed in this study, due to the high proportion of water,

    and so the carbon (graphite) production is insignificant and

    not shown.

    5.1. Effect of the reaction temperature

    Reaction temperature is perhaps the most important param-

    eter that influences the performance of SCW reforming of

    glycerol. It is expected to have a significant effect on the

    process yield, especially in absence of catalyst[15]. To avoidthe use of a catalyst, which becomes essential for low

    temperature processes, the present study only considers high

    temperatures. So, the uncatalyzed reforming will need high

    temperature (500e800 C, and even more), although it is less

    efficient than that at low temperature from the energy and

    exergy point of view, since external energy may be needed to

    sustain the process.

    The overall reforming yield depends on chemical reactions

    involved and their rate. The product gas composition would be

    governed by the chemical equilibrium of the reactions

    involved. Since the reaction rate constant would increase with

    temperature, the overall reforming yield would be higher and

    its rate of increase with time would also increase as temper-ature does so. On the other hand, the reaction of complete

    conversion of glycerol to hydrogen is endothermic while the

    reaction that completely converts glycerol to methane is

    slightly exothermic. Thus, on equilibrium conditions and

    according to the Le Chatelier principle, the methane forma-

    tion increases at lower temperature. CH4 competes against H2,

    and obviously, CH4is not a desirable product if the ultimate

    goal is hydrogen production. As a consequence, it is clear that

    high reforming temperatures are recommended.

    Since the minimum operating temperature is the critical

    (374 C), the effect of the temperature has been analyzed on

    the equilibrium of the different reactions taking place in the

    reactor by varying in increments of 50 C, between 400 and

    Table 1e Specifications of the components for thesimulation.

    Code Equipment Specifications

    B1 Mixer

    PUMP Pump Outlet pressure: Variable

    HEAT1 Heat exchanger Pressure drop: 0.2 atm.

    Outlet temperature VariableR1 Reactor Inlet temperature: Variable

    Outlet temperature Inlet

    temperature

    Pressure drop: 0.22 Pa

    B2 Expander Isentropic turbine

    Outlet Pressure: 1.4 atm.

    COOL1 Heat exchanger Outlet temperature: 200 C

    Pressure drop: 0.2 atm.

    R2 Reactor Inlet temperature: 200 C

    Outlet temperature Inlet

    temperature

    Reaction: H2O CO H2 CO2COOL2 Heat exchanger Outlet temperature: 60C

    Pressure drop: 0.2 atm.

    SEP Gase

    Liquidseparator Outlet temperature Inlettemperature 60 C

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    1000 C. The pressure was kept at 240 atm and the glycerol

    concentration in the feed was always 1 mol % (5 wt%).

    Results are shown inFigs. 9 and10relative to streams 4 and

    SG2 (outlet of the reformer and WGS reactor respectively) for

    both pure and pretreated crude glycerol. These figures

    represent the equilibrium mole fraction of the gaseous

    products in dry basis as a function of temperature. For the

    pure glycerol, it is depicted that the mole fraction ofhydrogen increases with the increase in the temperature up

    to a maximum value and then it is approximately constant

    (about 0.689) in R1, and 0.696 at the outlet of R2, very next to

    maximum value according to the stoichiometry of the reac-

    tion(3), as CH4and CO are insignificant, due to the operating

    conditions that does not promote the methane production

    and to the huge excess of water, which consumes near all of

    carbon monoxide. In addition, the reaction (3) is endo-

    thermic, so it is very shifted to the right side at high

    temperatures.

    overall glycerol reforming:

    C3H5OH33H2O 3CO2 7H2 (3)glycerol decomposition:

    C3H5OH3 3CO 4H2 (3a)

    wateregas shift:

    CO H2O CO2 H2 (3b)

    As expressed by reactions (3a) and (3b), overall glycerol

    reforming may be represented as a first stage of glycerol

    decomposition followed by a wateregas shift reaction.

    In Figs. 9 and 10, it can be also observed that the mole

    fraction of CH4 decreases with the increase in the tempera-

    ture, mainly because the high temperatures favors its thermaldecomposition forming hydrogen and CO2in the presence of

    water, as it can be seen in the reaction(4).

    methane steam reforming:

    CH4 H2O 3H2 CO (4)

    Likewise, the mole fraction of CO2 decreases with the

    increase in the temperature because at high temperature the

    reaction between CO2 and CH4 is promoted thus producing CO

    and H2, on the reaction(5).

    methane dry reforming:

    CO2 CH4 2H2 2CO (5)

    At higher temperatures, this endothermic reaction is favoredand therefore CO2produced is after consumed. Indeed, reac-

    tions(3)e(5)are endothermic so an increase in temperature

    will provide a shift of the equilibrium toward the products

    (right side of reactions).Table 2shows the reaction enthalpy

    for these three reactions(3)e(5), obtained for both standard

    conditions (298 K and 1 atm) and nominal operating condi-

    tions (800 C and 240 atm).

    The rest of organic compounds (grouped in Others) present

    a concentration much lower than 0.01 mol %, so these

    compounds can be considered as insignificant and be

    neglected. As a result, the more likely expected products are

    CO, CO2, CH4and H2. In addition, CO will practically disappear

    in the watere

    gas shift (WGS) reactor (R2).

    The reactions of methanol reforming(6) and decomposi-

    tion(7)are the following:

    methanol reforming:

    CH3OH H2O CO2 3H2 (6)

    methanol decomposition:

    CH3OH CO 2H2 (7)

    For pretreated crude glycerol reforming the results are very

    similar to those obtained for pure glycerol, especially relative

    to the mole fraction of hydrogen, although the mole flow-rates

    are lower according to reactions(3) and (6).

    On reactions(3) and (6), hydrogen yield are computed for

    pure and pretreated crude glycerol as follows (Eq.(8) and (9)):

    hpure mol=h H2

    mol=h C3H5OH3

    17

    (8)

    hcrude mol=h H2

    mol=h C3H5OH37 mol=h CH3OH 3 (9)

    Thus,Figs. 9 and 10also illustrate the hydrogen yield in the

    reforming reactor (R1) and for the overall process. The glycerol

    and methanol conversion were always 100%, at equilibrium

    condition. Between 750and 800 C, thehydrogenyieldbecomes

    approximately constant and equal to 95%, at the R1 outlet,

    achieving99% in theWGS reactor at 200 C and1 atm. Likewise,

    a maximum value is reached for 900 C in R1 (95.9%), and the

    hydrogen content scarcely changes for temperatures greater

    than 900 C. Anyway, for a practical purpose, beyond800 Cthe

    yield can be considered as constant, and thus a temperature

    higher than 800 C would be unnecessary. For the pretreated

    crudeglycerol, thehydrogen yieldshould be referred tothe sum

    of glycerol and methanol, so as to avoid to get efficiencies

    higher than 100%. With respect to the pure glycerol, for pre-

    treated crude glycerol relatively higher hydrogen yields are

    obtained although hydrogen production (molar flow-rate) is

    lower, due to the methanol presence, which reforms better but

    produces less hydrogen than glycerol.

    A case study was performed (but not shown) by consid-

    ering a feed with a 16 mol % of pretreated crude glycerol with

    a 10 wt% methanol, and very low mole fraction of hydrogen as

    well as very high increase in methane production were ob-

    tained. Moreover, it was verified that at temperatures lower

    than 750 C, hydrogen yield is lower than 20%, and almost the

    main production is methane and carbon dioxide.

    5.2. Effect of glycerol concentration in the feed

    An interval from 1 to 16 mol % (about 5e50 wt%) of glycerol

    concentration in the feed, with water being the rest, has been

    studiedat240atmand800 C.Forthepretreatedcrudeglycerol,

    20 wt% is methanol. Results are represented in Fig. 11 and 12,

    which depict gas concentration at the outlet of the reforming

    reactor (R1) and the WGS reactor (R2) as a function of glycerol

    feed concentration for pure and pretreated crude glycerol. It

    can be observed that the mole fraction andthe molar flow-rate

    of methane increase as well as the mole fraction of hydrogen

    decreasesand itsmolarflow-rate increases as the glycerol feed

    concentration rises. This is an expected result since a higher

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    Fig. 9 e Mole fraction (a), molar flow-rate (b) of the outlet gases and hydrogen yield (c) for a pure glycerol concentration in the

    feed of 1 mol % at 240 atm. Streams 4 and SG2.

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    Fig. 10e Mole fraction (a), molar flow-rate (b) of the outlet gases and hydrogen yield (c) for a crude glycerol (20 wt% MeOH,

    80 wt% C3H8O3) concentration in the feed of 1 mol % crude glycerol at 240 atm. Streams 4 and SG2.

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    glycerol concentration lessensthe shift towardthe right side of

    reaction(3) due to the lower water surplus. Accordingly, the

    reforming reaction to produce hydrogen compete against the

    methanation reactions, in such a way that the produced

    hydrogen is partiallyconsumed by reacting with CO andCO2 to

    produce CH4, as shown in reactions(10) and (11):

    methanation of CO:

    CO 3H2 CH4 H2O (10)

    methanation of CO2:

    CO2 4H2 CH4 2H2O (11)

    The temperature also affects these two equilibria, moving

    them to the left side when the temperature increases, because

    of reactions(10) and (11) are exothermic. Thus, CH4 produc-

    tion is inhibited by operating at high temperatures, as

    aforementioned.

    Mole fractions of CO and CO2increase as glycerol concen-

    tration increases in the feed, although not as much as CH4.

    Anyway, CO2mole fraction is quite higher than that of CO due

    thewateregas shiftreaction, which promotes the reaction(3b)

    leading thus to CO2 production. Results for pretreated crude

    glycerol are qualitatively similar to those obtained for pure

    glycerol, and values of mole fraction for the product gases are

    practically the same. The difference is found in the molar flow-

    rate that is lower for a crude glycerol with higher content in

    MeOH, since the number of carbon,hydrogen andoxygenatoms

    is lower in the methanol for a given total feed molar flow-rate.

    Moreover,Figs. 11 and 12also illustrate that higher meth-

    anol content in the crude glycerol relatively enhances the

    hydrogen yield defined by Eq.(9), although hydrogen produc-

    tion (molar flow-rate) is lower. If instead of using Eq.(8) and

    (9), the hydrogen yield is expressed by the produced H2molar flow-rate to (pure or crude) glycerol feed molar flow-

    rate ratio, the values obtained for pure glycerol would be

    higher than those for pretreated crude glycerol. Thus, with

    regarding to R1 reactor, and in case of feeding pure glycerol,

    6.66 mol of H2are produced per mol of glycerol for a glycerol

    concentration of 1 mol % (5 wt%), while at 16 mol % (49 wt%)

    glycerol, the number of H2moles produced per mol of glycerol

    decreases to 1.44. For the crude glycerol with 20 wt% meth-

    anol, the ratios are 5.17 and 1.39 mol of H2are produced per

    molof pretreated crude glycerol, respectively. When the yields

    are referred to R2 reactor, the ratios are 6.86 and 1.99 for pure

    glycerol; 5.90 and 1.66 for crude glycerol, respectively.

    Therefore, the process moves far from the optimum for

    hydrogen production as the glycerol feed concentration

    increases, but for low glycerol feed concentration the

    unreacted water (as steam) dilutes hydrogen product. These

    issues should be further inspected for an energy analysis of

    the process, as it will be done in the next work.

    Because of the high CO2content in the syngas produced,

    the dry reforming of methane (reaction(5)) will also proceed.

    Dependent upon the water to methane ratio and CO2content

    in the syngas, CH4is more or less reformed with H2O or CO2.

    Thereby, the equilibrium of the wateregas shift reaction and

    H2and CO mole fraction in the synthesis gas are affected.

    5.3. Effect of the methanol concentration in the crude

    glycerol

    Fig. 13 shows how the increase in MeOH concentration

    (decrease in C3H5(OH)3 purity) of the crude glycerol leads to

    a reduction of the molar flow-rate of hydrogen and carbon

    dioxide for streams 4 and SG2. This effect is stronger if the

    crude glycerol feed concentration was higher, in such a way

    that hydrogen produced from the reforming of methanol is

    less than that obtained from glycerol reforming, on reactions

    (3) and (6). Fractions of MeOH in the crude glycerol should be

    controlled at low values, not because of inefficient methanolreforming, but to save it thus recovering and returning to the

    biodiesel production process.

    An increase of methanol fraction in crude glycerol makes

    the concentration of CO and CO2decrease very slightly as well

    as does with the molar flow-rates of those compounds. There-

    fore, the concentrations of carbon monoxide and carbon

    dioxide are not practically affected by the variation of MeOH in

    the feed concentration. The simulation results showed good

    agreement with the theoretical results obtained by previous

    studies regarding with the SCW reforming of methanol [20,21].

    Moreover, in order to contrast the effect of methanol by mini-

    mizingthe effectof thehigh water dilution,another simulation

    was also performed (but notillustratedin a figure)using 16 mol

    % pretreated crude glycerol with variable MeOH content at

    800 C and240 atm. Apart from thelow mole fraction andyields

    of hydrogenas wellas highproductionof methane, as expected,

    the effect of MeOH as such was disclosed as insignificant (flat

    curves) for the range tested (10e30 wt% MeOH).

    5.4. Effect of the reaction pressure

    According to some authors, the effect of pressure is negligible

    in the supercritical region [14,21,22]. However, when the

    pressure is below thecritical pressure, the special physical and

    chemical properties of water disappear. Likewise, higher

    pressure causes trouble for the design and maintenance of the

    system andalso increases the operating andinvestmentcosts.

    Forit,apressurerangefrom200to300atmhasbeenconsidered

    by taking increments of 20 atm. By this way, the process is

    Table 2e Reaction enthalpies for the main reactions taking place inside the reforming reactor under standard (298.15 K,1 atm) and operating (1073.15 K, 240 atm) conditions.

    Reaction Enthalpy standard cond. (kJ/mol)(25 C, 1 atm)

    Enthalpy operating cond. (kJ/mol)(800 C, 240 atm)

    C3H8O3 3H2O43CO2 7H2 358.01 192.42

    CH4 2H2O44H2 CO2 252.85 197.64

    CO2 CH44

    2H2 2CO 247.00 260.87

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    compared under subcritical conditions and the possible

    advantagesof increasing the operating pressure are evaluated,

    from the thermodynamic point of view. The temperature was

    kept in 800 C and the glycerol concentration in the feed has

    been of 1 mol%. The simulation for crude glycerol is almost

    equal to that of pure glycerol, and it has not been included in

    this paper.Fig. 14depicts the results of the simulation, for the

    pure glycerol. In general, it can be observed that the pressure

    barely affects the gas composition at the reformer outlet, even

    for subcritical region. H2, CO2, CO and CH4change all of them

    Fig. 11e Mole fraction (a), molar flow-rate (b) of the outlet gases and hydrogen yield (c) as a function of the glycerol

    concentration in the feed (pure glycerol) at 800 C and 240 atm. Streams 4 and SG2.

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    very slightly. Consequently, hydrogen yield and glycerol

    conversion are almost constant for the overall range of pres-

    sures tested. Thus, 240 atm can be considered as a suitable

    pressure, taking into account that it is convenient to have

    a margin over the critical pressure (218 atm) thus accounting

    for pressure drops in the equipment and through the pipes.

    However, values slightly lower than 240 atm should be exper-

    imentally inspected.

    Fig. 12 e Mole fraction (a) and molar flow-rate (b) of the outlet gases and hydrogen yield (c) as a function of the glycerol

    concentration in the feed (crude glycerol, 20 wt% MeOH and 80 wt% C3H8O3) at 800 C and 240 atm. Streams 4 and SG2.

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    5.5. Selectivity computation

    Finally, in order to assess the reactions taking place inside

    the reforming reactor (R1), selectivity to main compounds

    (H2, CO, CO2 and CH4) were computed, for both pure and

    pretreated crude glycerol, just at the reforming reactor outlet

    (stream 4). For the pure glycerol, the selectivity computation

    to component x was made by using Eq. (12), where the

    Fig. 13e Mole fraction (a) and molar flow-rate (b) of the outlet gases and hydrogen yield (c) as a function of the methanol

    concentration (wt%) in the feed (crude glycerol, 1 mol %) at 800 C and 240 atm. Streams 4 and SG2.

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    calculation for H2and CO2are shown as examples (Eq.(13)).

    This equation was modified for hydrogen by referring it to

    CO2in reaction(3)that produces 7 mol of H2per each 3 mol of

    CO2.

    Sx no:C atoms inxno:total C atoms

    stream 4

    (12)

    SCO2 nCO2

    nCO nCO2 nCH4 100 andSH2

    nH2

    nCO nCO2 nCH4 17=3 100 (13)

    For a crude glycerol, a revised equation of selectivity to

    hydrogen was derived from reactions (3) and (6) and then

    used, as follows (Eq.(14)):

    SH2 nH2

    nCO nCO2 nCH4

    xC3H8O3

    7=3

    xCH3OH3=1

    100 (14)

    where xC3H8O3 and xCH3OHare the mole fraction of glycerol and

    methanol in the feed, respectively. Thus, it is weighted the

    mole ratio between H2and CO2in the reforming of glycerol (7/

    3) and methanol (3/1), on reactions (3) and (6).

    First, the selectivity analysis was performed for a nominal

    glycerol feed concentration of 1 mol% at 240 atm, and

    temperature was changed from 400 to 1000 C. Then, the

    glycerol concentration was changed from 1 to 16 mol %, at800 C and 240 atm.

    InFig. 15, it can be observed as, for a pure glycerol feed,

    hydrogen selectivity increases with the increase in the reac-

    tion temperature, and the methane selectivity decreases.

    Fig. 14e

    Mole fraction of the outlet gases for a glycerol concentration in the feed (pure glycerol) of1 mol% glycerol at 240 atmand an operating temperature of 800 C. Stream 4.

    Fig. 15 e Selectivity of H2, CO, CO2and CH4as a function of the temperature for a glycerol concentration in the feed (pure

    glycerol) of 1 mol% glycerol at 240 atm and an operating pressure of 240 atm.

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    Beyond 800 C, CH4production is insignificant. For a temper-

    ature higher than 750 C, CO2selectivity begins to decrease,

    probably due to the reformation of CH4 with CO2following the

    reaction(5). Similar trends are observed for pretreated crude

    glycerol (Fig. 16), and main differences between this latter and

    pure glycerol are in selectivity to hydrogen, about 850e900 C:

    93.1 and 95.9%, respectively.

    Fig. 17 and 18 illustrate the decrease in selectivity to

    hydrogen as well as the rapid increase of selectivity to

    methane when the glycerol feed concentration is increased.

    Beyond the glycerol concentration of 8 mol %, CH4selectivity

    becomes higher than H2 selectivity, for pure glycerol. So, if the

    product desired is hydrogen the glycerol feed concentration

    should be reduced as much as possible. Likewise, CO2

    selectivity decreases as glycerol feed concentration rises

    while CO selectivity increases to reach a maximum at about

    2e3 mol % pure glycerol and then decreases to 20%, remain-

    ing constant in this value from about 6 to 16 mol %, due to the

    reforming reaction is inhibited and promoted the methana-

    tion reactions (8) and (9). For pretreated crude glycerol,

    selectivity to CO rises to maximum (12.3%) at 2.8 mol % pure

    glycerol, remaining constant for higher concentration of

    glycerol.

    Finally, selectivity evolution versus pressure was also

    studied but it was verified a lack of dependence between both

    variables, and so the simulation results are not shown.

    Fig. 19depicts a very weak effect of the methanol concen-

    tration in the crude glycerol for all the compounds. Although

    Fig. 16e Selectivity of H2, CO, CO2and CH4as a function of the temperature for a glycerol concentration in the feed (crude

    glycerol, 20 wt% MeOH and 80 wt% C3H8O3) of 1 mol % crude glycerol at 240 atm.

    Fig. 17 e Selectivity of H2, CO, CO2and CH4as a function of the glycerol concentration in the feed (pure glycerol) at 800C and

    240 atm.

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    this figure shows the simulation results obtained by using

    1 mol % crude glycerol, this is not due to the high proportion

    of water because another simulation for 16 mol % glycerol

    feed concentration was performed (but not shown) where

    the concentration of MeOH was changed from 10 to 30 wt%

    and no noticeable effect due to MeOH concentration was

    observed.

    5.6. Optimal conditions for maximum hydrogen

    production

    The maximum hydrogen yield is achieved at 900 C and for

    a glycerol feed concentration of 1 mol %, combining thus low

    carbon monoxide and methane yields. Carbon monoxide and

    methane are considered undesirable products. CO affects the

    overall size of the reforming process, especially the water-

    egas shift reactors, and CH4 contains hydrogen, decreasing

    thus the overall hydrogen production. The higher the mole

    ratio of water to glycerol, the higher mole fraction of

    hydrogen (in dry basis) is. The carbon monoxide is nearly

    converted in the WGS reactor. However, the energy

    consumption and the size of the units increase as water flow-

    rate increases.

    All the thermodynamic analyses agree well with the few

    experimental results found in the literature [22], where at

    dilutefeed concentration(5 wt%glycerol), 6.5mol of hydrogen/

    Fig. 18e

    Selectivity of H2, CO, CO2and CH4as a function of the glycerol concentration in the feed (crude glycerol, 20 wt%MeOH and 80 wt% C3H8O3) at 800 C and 240 atm.

    Fig. 19 e Selectivity of H2, CO, CO2and CH4as a function of the methanol concentration (wt%) in the feed (crude glycerol,

    1 mol %) at 800 C and 240 atm.

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    mol of glycerol was obtained at a temperature of 800 C and

    pressure of 241 bar, over Ru/Al2O3catalysts in a tubular fixed-

    bed flow reactor. Therefore, if the real yields come close to

    those calculated assuming equilibrium is because of a right

    approach to equilibrium in real reactors is achieved.

    6. Conclusions

    Thermodynamic equilibrium calculations were done by

    minimizing Gibbs free energy using the predictive Soa-

    veeRedlicheKwong method in AspenPlus, after evaluating

    against other equation of state based methods and discussing

    about the simulation of the supercritical state. The aim was to

    identify the operating conditions that maximize hydrogen

    production from a mixture of water and glycerol. The effects

    of reaction temperature and pressure as well as the glycerol

    feed concentration have been studied for pure glycerol and

    pretreated crude glycerol consisting mainly of glycerol and

    methanol, by varying this latter from 10 to 30 wt%. The

    reforming reactor and the watere

    gas shift reactor work atisothermal condition.

    From a thermodynamic point of view, and under equilib-

    rium conditions, the best conditions to optimize hydrogen

    production are 900 C and 1 mol % glycerol in the feed. By this

    way, a hydrogen yield of about 95% for the pure glycerol and

    97.2% for pretreated crude (20 wt% methanol) glycerol in the

    reforming reactor are achieved. These values rise to 99.7% and

    99.9% in the wateregas shift reactor, respectively. However,

    compared to pure glycerol, the use of crude glycerol to produce

    hydrogen gives a lower performance regarding with the molar

    flow-rate of hydrogen produced in the reformingreactor dueto

    the lower number of atoms present in methanol, i.e., the

    hydrogen production per mol of (pure or crude) glycerol ishigher for pure glycerol. The water to crude glycerol ratio is

    a key factor to reduce the CO content in the WGS reactor, and

    the hydrogen yield decreases and methane productionrises as

    theglycerol feed concentrationincreases, so a highwaterflow-

    rate is required. The operating pressure does not affect the

    results in the studied range (200e300 atm), and the analysis

    showsthatasuitableoperationpressuremaybeabout240atm.

    For practical purposes, it is recommended to operate at

    temperatures from 750 to 800 C, depending on the hydrogen

    yield specified, since the glycerol conversion is total in all the

    range. Operating at not too high temperatures reduces the

    energycostandextendsthedurabilityofmaterials.Thisisvery

    important since under operating conditions so severe (combi-nation of high pressure and temperatures) the special mate-

    rials required significantly increase the cost of the plant.

    The next work will consist of a conceptual design of the

    overall process including an energy and exergy analysis of

    the SCW reforming of glycerol. Likewise, a facility is being

    assembled to test the performance of this process. One of

    the foreseeable features is that the catalyst will not be

    strictly necessary. This is an important issue to be checked

    since, so far, it is crucial to identify catalysts and design

    reactors that maximize the yields of desired products and

    minimize undesired by-products formed in series and/or

    parallel reaction pathways. Thus, next the process will be

    tested by a tubular reactor with and without using catalyst.

    In addition, it will be assessed the effect of reaction time by

    changing the feed flow-rate and performed studies on

    chemistry kinetics.

    Acknowledgment

    This research is supported by the Science and Technology

    Ministry of Spain under the research project ENE2009-13755,

    as a Project of Fundamental Research inside the framework

    of the National Plan of Scientific Research, Development and

    Technological Innovation 2008e2011.

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