Hydrodynamic characterization of the PBR
Hydrodynamic analysis of PBRs is essential for identifying preferential paths, which are regions where the fluid flows predominantly due to irregularities in bed packing or local variations in fluidity, leading to nonuniform flow [50]. Such paths may result from uneven particle distribution, inadequate bed compaction, accumulation of fine particles, or operational issues. Although preferential paths may form anywhere within the bed, they are most common near the reactor walls, in low-resistance zones, and around fluid inlet and outlet ports. These deviations decrease reaction efficiency and compromise overall reactor performance [51]. Therefore, understanding and controlling preferential paths is critical for the efficient and safe operation of PBRs.
An effective approach for analyzing fluid flow patterns in PBRs is the study of mean residence time. This parameter describes the flow behavior within the reactor and provides valuable information on bed performance, including the presence of stagnation zones [52]. Given that the flow regime directly influences reactor efficiency, its evaluation offers opportunities to improve process control [46, 53]. Consequently, mean residence time is one of the most important parameters for achieving high product conversion in PBRs. In this study, a tracer pulse assay was conducted to experimentally determine the mean residence time of reactants and characterize the behavior of the reaction mixture within the bed.
The mean residence time of reagents in the PBR was determined experimentally using a purple dye as tracer. The calibration curve was constructed for quantification (A = 0.0396C, where C is the concentration of the tracer). The coefficient of determination (R2 = 0.9998) indicated a good fit of the model to experimental data. The results were used to construct the distribution curve of residence time (E) as a function of time (t), according to Eq. (2) (Fig. 4).
Figure 4 near here
For a biocatalyst volume of 1.81 mL, a useful volume of 9.5 mL, and a flow rate of 0.1 mL/min, the space time was 110.95 min, according to Eq. (3). The average residence time, as calculated by Eq. (2), was 167.61 min. This difference between theoretical and experimental values suggests the existence of preferential paths in the bed. According to Fogler [46], when the residence time is greater than the space time, there are dead volumes in the reactor, that is, areas with fluid stagnation.
Cozentino et al. [54] studied the synthesis of MLM-type triacylglycerols from grape seed oil in associated PBRs. The mean experimental residence time obtained was 335.17 min, whereas the theoretical space time was 415.58 min. This 19.35% difference between theoretical and experimental values was considered small, indicating that the reactor had a satisfactory performance, without significant deviations in flow and with good distribution of biocatalyst particles.
De Paula et al. [55] evaluated the enzymatic interesterification of milk fat with soybean oil in a PBR using immobilized lipase from Rhizopus oryzae. The mean residence time was 135 min, which was 8.74% higher than the theoretical space time. This difference was considered acceptable, indicating that the reactor operated effectively, lacking significant dead zones or preferential paths in the bed. These findings are reflective of a good packing quality and system performance.
Influence of flow rate
The behavior of continuous processes can vary according to flow rate and composition (feed substrates). Depending on the flow rate, there may be an increase in fluid shear stress, causing changes in the structure of the biocatalyst support and resulting in reduced ester conversion [21]. Thus, this study conducted a preliminary analysis of the feed flow in the synthesis of geranyl acetate via the esterification of geraniol with acetic acid, catalyzed by Novozym 435 in a PBR operating in continuous mode. To date, there are no reports in the literature on the esterification of geranyl acetate using acetic acid and geraniol in a solvent-free medium within a PBR. Syntheses were performed at flow rates of 0.1 and 0.2 mL/min, with space times of 110.95 min and 59.54 min, respectively. Figure 5 shows the geranyl acetate conversions obtained under both conditions.
Figure 5 near here
It is known that the lower the flow rate, the longer the residence time, which increases the contact time between substrates and enzymes. As a result, the conversion of the product of interest is enhanced. However, as shown in Fig. 5 under both flow rate conditions, a steady state was reached in less than 1 h of reaction, nearly 100% of geranyl acetate production. The yields ranged from 90% to 100% during 24 h of reaction. Therefore, it was found that increasing the flow rate two-fold to 0.2 mL/min did not result in relevant changes to geranyl acetate production. Remonatto et al. [4] esterified geranyl acetate under the same conditions as in the present study, but used STRs in batch mode. The time required to achieve 99% geranyl acetate conversion was 1 h, using an enzyme load of 5% (w/w) relative to substrates.
In the preliminary assay, Novozym 435 achieved esterification activities of 2786.63 ± 150.37 U/g. Enzymes recovered after 24 h of reaction exhibited relative activities of 96.42% and 96.26% under flow rates of 0.1 and 0.2 mL/min, respectively. Thus, there was no considerable loss of immobilized lipase activity following esterification reactions in the PBR.
It is expected that with the increase in flow rate, product conversion will decrease. However, given that the evaluated flow rates were low, this effect was not observed. The following experiments were conducted at the lowest flow rate (0.1 mL/min) to minimize reagent use. Another potential strategy for reducing costs would be to decrease the size of the biocatalytic bed, as the amount of enzyme used provided good yields at both flow rates.
Geranyl acetate production
The operational stability of the biocatalytic bed of PBR in the synthesis of geranyl acetate was analyzed. For this, a 10-day reaction was conducted at a flow rate of 0.1 mL/min. Novozym 435 provided high ester conversions (> 85%) over the 10 days of reaction in the PBR (Fig. 6). Despite the acidity of the reaction medium, which could have impaired biocatalyst activity, ester production was high (~ 100%) over the 10 days of esterification.
Figure 6 near here
Remonatto et al. [4] investigated the synthesis of geranyl acetate in batch STRs catalyzed by Novozym 435 under the same temperature and molar flow conditions. The authors reported yields higher than 77% over 10 reuse cycles. The high and stable conversions observed in the present study over 10 days of reaction can be attributed to the minimal loss of biocatalyst activity in the PBR, resulting from the laminar flow through the column. This flow regime reduced shear stress on the immobilized enzyme. By contrast, the magnetic agitation inherent to STRs can promote shear-related deactivation, leading to a more rapid decline in enzyme activity. Guajardo et al. [56] observed an increase in operational stability with the use of a PBR as compared with an STR [57] in the esterification of glycerol and benzoic acid catalyzed by Novozym 435.
Salvi et al. [58] synthesized geranyl propionate using Novozym 435 and n-heptane as solvent in both PBRs and STRs. A conversion of 94% was achieved in 6 h in the STR, whereas the PBR reached 88% conversion in only 15 min. Here, the results revealed that, despite achieving a slightly lower conversion, PBR outperformed the STR in terms of productivity. This superior performance can be attributed to the greater enzyme stability within PBRs, the absence of shear stress generated by agitation in STRs, and the reduced mass transfer resistance provided by the laminar flow of substrates in the continuous PBR system.
The observed phenomena are directly related to the intrinsic characteristics of the reactors rather than to the reactions themselves. In the PBR, laminar flow minimizes shear stress on the biocatalyst, preserving its activity for longer and sustaining high conversion throughout the process. By contrast, in the STR, mechanical agitation can accelerate enzyme deactivation due to the more intense shear forces. Collectively, these differences highlight the potential of PBRs to provide greater biocatalyst stability and improved efficiency in long-term operations.
The accumulation of water formed during esterification can reduce lipase activity and consequently decrease ester formation, as excess water favors the reverse reaction—hydrolysis [26]. To prevent reduced productivity and improve the yield of the desired product, it is essential to maintain water at a minimum concentration. An effective strategy for removing excess water from the system is to use molecular sieves [27, 28, 59]. Molecular sieves have been used by several authors as one of many different approaches for water removal during geraniol ester production, resulting in good product yields. Kanwar et al. [18] esterified geraniol with butyric acid using hydrogel-immobilized lipase. They achieved a geranyl butyrate yield close to 100% with the addition of 3 Å molecular sieves. For comparison, the reaction was performed without molecular sieves, reaching 98.8% yield after 15 h of reaction at 65°C. Molecular sieves (100 mg/mL) absorbed the water generated during esterification, allowing to achieve 100% conversion in just 12 h of reaction. Trusek-Holownia et al. [28] also applied molecular sieves in the esterification of geraniol and acetic acid in a membrane bioreactor, resulting in 80% conversion. Here, the efficiency of molecular sieves was assessed in a PBR with alternating layers of Novozym 435 and molecular sieves for geranyl acetate production over 10 days.
Both reactions (with and without sieves) achieved similar conversions (about 100% w/w) after 10 days of continuous operation in PBRs. However, the reaction with molecular sieves exhibited a greater variation in conversion over time. This result is likely related to the saturation of molecular sieves and the accumulation of water in their vicinity, which can restrict the passage of substrates, hinder mass transfer, and reduce contact between substrates and enzymes, compromising conversion (Fig. 7).
Figure 7 near here
Figure 7a shows the PBR system with molecular sieves on the first day of reaction. The nylon support did not have sufficient mechanical strength to sustain the material, which led to the mixing of sieves with enzyme layers. On the fifth day of operation, it was observed liquid accumulation, possibly water, near the sieves (Fig. 7b), which intensified until the tenth day, causing the rupture of the catalytic bed (Fig. 7c). To avoid this type of failure, it is recommended to adopt a series reactor system, in which one of the reactors is dedicated exclusively to housing molecular sieves. Overall, the use of sieves was not beneficial in a continuous PBR system for the production of geranyl acetate.
Novozym 435 showed an initial esterification activity of 2786.63 ± 150.37 U/g in the system without sieves, reducing to 1928.64 ± 78.90 U/g after 240 h (10 days) of reaction. In other words, enzyme activity decreased by 30.79%. In the PBR system containing molecular sieves, the final enzyme activity was 1793.64 U/g, representing a reduction of 35.64% compared with the initial activity. It is possible that some of the water accumulated near sieves (Fig. 5) was absorbed by the enzyme support, resulting in a decrease in esterification activity [4, 45].
According to Sose et al. [24], a minimum quantity of water is essential for maintaining lipase activity. However, excessive water can significantly reduce the effectiveness of the enzyme, particularly in esterification reactions. In such cases, the surplus water shifts the equilibrium toward the reverse reaction (hydrolysis), ultimately impairing the yield of the desired ester. Molecular sieves are commonly used in esterification processes to remove excess water, thereby prolonging the operational stability of biocatalysts, preventing water absorption by the immobilized lipase support, and increasing conversion in direct esterification reactions, as water removal shifts the reaction equilibrium toward ester formation [22]. In the present study, however, the use of molecular sieves did not provide any measurable benefit, as both systems (with and without sieves) achieved similarly high conversions of geranyl acetate (~ 100%). Therefore, the continuous PBR system without molecular sieves was selected for the synthesis of geranyl acetate catalyzed by Novozym 435.
Remonatto et al. [4], in studying the production of geranyl acetate in a batch STR with and without molecular sieves, observed no significant differences in geranyl acetate conversion between systems. The authors argued that the reaction conditions and the fact that substrates were previously dried with molecular sieves contributed to the low water levels. Another observation was that the addition of molecular sieves might have limited mass transfer, reducing the contact between enzymes and substrates. This limitation occurs because molecular sieves can restrict the movement of reactants in the medium, which ultimately minimizes ester conversion. Therefore, although molecular sieves are useful to adsorb water and promote esterification balance, their use can increase process costs.
Similar results were obtained by Sbardelotto et al. [35], who used molecular sieves to remove water during the synthesis of geranyl butanoate. However, they observed that, under the specific conditions of their experiment, the presence or absence of molecular sieves did not have a significant impact on the results. Other parameters seemed to have a predominant influence, such as the molar ratio of reagents. Reagent excess favored the displacement of the chemical equilibrium toward geranyl butanoate formation. Here, excess geraniol was used to shift the equilibrium toward geranyl acetate production.
Several studies have shown that the partial removal of water produced during esterification leads to a significant increase in conversion [25, 26, 47, 60–62]. Most of these investigations used reactors arranged in series, typically with the first and third reactors packed with immobilized enzyme and the second filled with molecular sieves, allowing for a greater quantity of adsorbent to be employed. In the present system, however, the inclusion of molecular sieves did not provide any observable advantage. Therefore, the most suitable configuration for the continuous synthesis of geranyl acetate in a PBR is one that does not require molecular sieves. Eliminating the use of this material can offer an economic benefit, reducing operational costs.