3.1.1. Turbulence Intensity and Mole Fraction Profile
Two additional aspects of the performance of the reactor were considered by calculating the turbulence intensity and the composition (mole fraction) over the whole system and in the region close to the catalyst bed (plane 1). As mentioned in
Section 2.2.2, the total gas flow rate was split into two flows of water and one for CO
2. In this case, each volumetric flow rate was 83.3 mL/min. The set of calculations amounted to 4 in which the turbulence intensity was evaluated, as depicted in
Figure 6. It can be observed that the turbulence intensity within the optimized reactor vessel in bulk and on the surface of the catalyst bed changes drastically depending on the gas inlet configuration as compared to the reference reactor. It must be important to mention that the number following the optimized photoreactor (Opt) code refers to design detailed in
Table 3. The CO
2 inlet flow configuration affects the turbulence intensity depending on which injection port is used. Nevertheless, the tendency indicates that the turbulence intensity increases if CO
2 is fed from top to bottom keeping the volumetric flow rate constant. The case of the reference reactor shows that the turbulence is higher in the bulk of the system but, at the zone of the catalyst zone, it becomes lower than the Opt-3 (Opt reactor with CO
2 fed at the lower inlet port). In this case, since the flow rate was kept constant and equal in all the inlets, it is irrelevant to detail which inlet (A, B or C) is used to fed CO
2 in the reference reactor. This means that in the case of no variation of the volumetric inlet flow rate is set, the net effect of changing the CO
2 inlet port in the reference reactor has no impact on the turbulence intensity or mass fraction distribution.
A different behavior is observed when the volumetric inlet gas flow rate is changed.
Figure 7a,b show that the turbulence intensity increases as the gas flow changes keeping in mind that the assigned inlet port for CO
2 is C in both reference and Opt-3. However, to enhance and discuss these results properly, it should be mentioned that the gas flow was varied for both Opt-3 and the reference reactor in all the inlet ports (A, B or C) and that logically, changes in gas flow through A and B means changes in the volumetric flow rate of water. Those volumetric flow rates kept constant were set at 60 mL/min in all cases. In addition, the turbulence intensity values plotted in this figure are referred to the plane close to the catalytic bed (plane 5 in Opt-3 and plane 4 in the reference reactor). This indicates that the catalyst will find those values of turbulence intensity, which is implicitly is related to the energy content for the chemical reaction to occur. Turbulence is linked to both homogeneity of the system (stoichiometric requirement) and kinetic energy associated with the movement of the reactant molecules. The higher the value of the turbulence intensity the better the energy requirement will be fulfilled for the chemical reaction. This behavior was expected because, as the volumetric flow rate increases, more mass is entering for which its velocity is higher so that the turbulence intensity also increases. The higher values of turbulence intensity were found in the reference reactor case although the observed difference is relatively low as compared to the Opt-3 case.
When varying the water inlet flow rate (inlet A and B), the turbulence intensity increases in a smooth shape. On the contrary, a steep increase in turbulence is observed as the gas flow increases through inlet C. This result is important since CO2 is fed through inlet C, which indicates that varying its flow rate affects the turbulence within the reactor. The values of the turbulence intensity are close between both reference and Opt-3 reactors. Hence, it can be concluded that the effect of changing the volumetric gas flow rate affect proportionally to the turbulence intensity with slightly better performance in the reference reactor.
Together with turbulence, there is the mass fraction concern while varying the volumetric gas flow rate and the inlet port in the reactor. Again, inlet C is used for CO
2 and A and B for water. In the Opt-3 reactor, inlet C is located at the lower part of the reactor vessel.
Figure 8 shows the behavior of mole fraction as a function of the volumetric gas flow rate in both reference and Opt-3 reactors. The calculated plotted mole fraction values were estimated in the proximity of the catalytic bed surface (plane 5 in Opt-3 and plane 4 in the reference reactors). The emphasis of this result lies in the molar ratio obtained at the catalytic site that corresponds to the stoichiometric requirement for the chemical reaction (CO
2:H
2O 1:2). No significant difference between reference and Opt-3 reactor can be observed. This is also related to the good turbulence achieved in the whole system and at the closeness of the catalyst. With this result, it has been established that the operating conditions in which the optimal dynamics of the system in the Opt-3 reactor were reached are those summarized in
Table 4.
Those settings of
Table 4 led to the residence time distribution depicted in
Figure 9. The residence time was obtained from a particle study, based on the Lagrangian particle tracking approach [
32], where 30,000 representative particles of the corresponding substance were injected at each inlet, after obtaining the fluid dynamics, for each particle the time elapsed inside the computer domain was tracked. The residence time plays an important role whenever a chemical reaction is about to occur. The case of the reference reactor indicates that the distribution of the particles is divided into two big lumps with relatively close residence time values (that it has been called bimodal). On the other hand, the residence time distribution of the named Opt-3 tuned reactor (based on the aforementioned operating conditions) shows a multimodal distribution with slightly different time values among them. Considering the average values, the residence time of the reference reactor yields 0.35 s, while that of the Opt-3-tuned reactor yields 0.85 s. This means that the time used for the reactant molecules within the prototype reactor is almost three times the value obtained for the reference. Again, this might be priceless at the moment in which the chemical reaction takes place.
3.1.2. Graphical Profile of Reference and Opt-3-Tuned Reactor
A better look at the effluent behavior within the reference and Opt-3-tuned reactors is depicted by the images in
Figure 10,
Figure 11,
Figure 12,
Figure 13,
Figure 14 and
Figure 15. Again, the different coloring regions help visualize how the reactant mixture behaves depending on the studied variable. For instance,
Figure 10 shows that under conditions of
Table 4, the turbulence at the interior of each reactor vessel behaves differently depending on the location. However, for the sake of clarity, the turbulence found at the catalyst region is somewhat similar in both systems, see
Figure 10c,d.
Notably, the turbulence at the center and on the upper region of the Opt-3-tuned reactor has low turbulence (dark blue spots) since there is the vortex formation (whirl) due to the gas entrance, the arrangement of this inlet and the shape of the hole (chamfer shape). As expected, in both reactors, once the reactant mixture has passed through the catalyst support, the gas leaves the reactor in a laminar regime.
Concerning the composition within the system for the Opt-3-tuned reactor,
Figure 11 shows the calculated mass fraction profile at different layers of the current reactor vessel (see the horizontal planes 1–4 in
Figure 4). For the sake of knowledge, the mass fraction depicted in this figure is what the program yields, and that is the reason the mole fraction is not currently plotted. Nevertheless, the correspondence between one and another is that for the stoichiometric molar requirement of the reaction (CO
2:H
2O 1:2) the CO
2 mole fraction should be 0.33, equivalent to the CO
2 mass fraction equal to 0.55. Therefore, the CO
2 mass fraction near 0.55 refers to the molar ratio needed for the chemical reaction of current interest. Therefore, according to the mass composition in the Opt-3-tuned reactor, on the surface of the catalyst, there will be the amount of reactant needed to perform the chemical reaction. This, together with the turbulence requirement previously discussed, can be set as the conditions to perform the chemical process without having mass transport limitations and an apparent energy requirement fulfilled.
Another perspective of the CO
2 mass fraction profile along both the reference and the Opt-3-tuned reactor is shown in
Figure 12. Once CO
2 and water enter the reactor vessel, the mixture becomes more homogeneous in prototype rather than in reference reactor, which is reflected in the yellow to greenish color that reaches the catalyst area in the reactor. It seems that although turbulence is slightly higher in the reference reactor, there is still a gradient of reactants concentration that reaches the catalytic bed, which is much less pronounced in the Opt-3-tuned reactor. For the latter case, the conical shape enhances the homogeneous distribution of reactants even though turbulence is, under these conditions, one value lower than the reference case.
Two additional aspects of interest, while dynamic simulations are performed are the vectorial performance of the particle trajectory and the streamlines related to the eddy formation during the gas mixing. The calculated speed vector of the trajectory of the particle,
Figure 13, shows that once the volumetric gas flow rate enters the reactor vessel, the velocity of the particles becomes almost zero at any point in the bulk of both types of reactors. This means that inertial and gravitational forces rather than the turbulence effect might govern the movement of the particle. In other words, the direction and speed of the particles seem to depend on the inlet flow rate, and its configuration in the reactor vessel is also influenced by its geometrical shape (cylindrical and conical). It seems a logical result to find that the velocity vector in Opt-3-tuned is better distributed than in the reference reactor because, besides the conical shape, the upper inlet port exerts this inertial force enhanced by the other two inlet ports as the gas effluent reaches the exit. A situation in reference reactor cannot be observed because all the inlet ports are located at the same height from the reactor exit.
The qualitative eddies formation and their size and distribution are better observed in the image of
Figure 14. The streamlines depicted in this figure seem to be larger and rounded in the Opt-3-tuned reactor, whereas elongated streamlines are observed in the reference reactor. Only to emphasize the importance of this picture, large eddies are related to the higher kinetic energy of the particles in the gas effluent. In contrast, small eddies promote an increase in thermal energy because more friction forces are involved. It can be concluded that the behavior of the dynamics of the gas reactant mixture for both types of reactors are rather similar because eddies of comparative size, but different shapes are formed in both reactors.
Finally, but no less important for the current work is the temperature profile of the reactant gas mixture for both types of reactors. A marked temperature gradient in both reactors that is related to the temperature of the water (as vapor) inlet flow rate and that of the CO
2 (gas) inlet flow rate. To feed water in the vapor phase, this must be evaporated, which means to raise temperature to its boiling point (~373.15 K). On the other hand, CO
2 is a gas at room temperature, and there is no need to be heated up. A rough calculation of the equilibrium temperature, based on specific heat and mass of both reactants accordingly to the volumetric standard flow rate, yields that the temperature at thermal equilibrium is 346.3 K which corresponds to the yellow color in
Figure 15. The slightly more uniform temperature profile observed within the Opt-3-tuned reactor might be relevant when the chemical reaction occurs since the thermal energy is better distributed in this reactor than in the reference one.
3.1.3. Main Chamber Cone Influence
To verify the influence of the main chamber cone of the prototype photoreactor, which was generated from the variable
(see
Figure 2); a new design was established, namely Opt-3-Tuned-No-Cone
Figure 16. This new reactor design has the inlet locations with the same values as those shown in
Table 2 in
Section 2.2.1. This new design considers
, which is the value used in the reference reactor. For comparative purposes, the inlet fluids were taken from
Section 3.1.1 Table 4, where the optimal operation values were found.
Figure 17 shows the calculated distribution of the residence time for Opt-3-Tuned-No-Cone reactor, reference reactor and the Opt-3-tuned reactor and the one-inlet reactor. The reference reactor has two main regions in its distribution, while the Opt-3-Tuned-No-Cone reactor has a single area distributed in time. As mentioned in
Section 3.1.1, the longest residence time was obtained for the optimized photoreactor and the shortest time for that of the one-inlet reactor design. The later configuration seems to be a completely non-efficient system since the reactant gas mixture passes through the reactor almost without interacting due to the short contact time (see
Table 5). On average, the residence time of the Opt-3-Tuned-No-Cone and that of the reference reactor are the same besides their distribution profile is entirely different.
The average turbulence intensity near the surface of the photocatalytic bed of all the reactor systems is shown in
Table 6. The best result was obtained for the Opt-3-Tuned-No-Cone photoreactor followed by the Opt-3-tuned with a slightly different values for the reference and one-inlet reactors. This result might be due to the position of the inlets that enhances the eddies formation that appears to be stable and remains without changing along the body of the No-cone reactor vessel, a situation that is not assured in the cone reactor vessel, logically, because of the reactor geometry. Although the position of the inlets controls the degree of turbulence (that remains in the cylindrical reactor vessel), the cone-shaped geometry controls the residence time, which is also an essential parameter in catalytic processes.
For the sake of comparison of the mass fraction, velocity vectors, turbulence and temperature profile with those of the reference and optimized photoreactor,
Figure 18,
Figure 19,
Figure 20,
Figure 21 and
Figure 22 show the results obtained with the reactor vessel of the Opt-No-cone system. Rather similar velocity vectors are found for both the conical and No-cone reactor vessels (see
Figure 13). However, there is a slight mass fraction distribution difference between these reactors which is due to the geometrical shape. It seems that a more uniform distribution of reactants is obtained using the conical reactor vessel that the non-conical one (see
Figure 12 and
Figure 19). As mentioned, the turbulence profile is better in the non-conical reactor vessel than in the conical one (see
Figure 10 and
Figure 20) which also can be qualitatively verified by the eddy formation depicted in
Figure 14 and
Figure 22. Concerning the temperature profile, there is a more notorious temperature gradient in the non-conical reactor vessel than in the conical. Again, the geometry of the vessels plays the role of reaching a better distribution of heat in the conical configuration than in the cylindrical one (see
Figure 15 and
Figure 21).
The configuration of cone-shaped geometry of the reactor with the use of broadband radiation is compatible, using natural or artificial solar light. We consider light-assisted CO
2 conversion over heterogeneous catalyst supported by the catalytic bed surface inside the optimized reactor chamber. The fused quartz window at the top of the photoreactor, which allows light to enter the main chamber, is very efficient for transmitting UV-Visible and Infrared radiation. The bed surface area can be irradiated by focusing an external solar simulated light from a commercial lamp, selected wavelength lasers, or optically filtered source. Light-assisted is attributed to electron-hole pairs generated in the catalysts by the photon energies presented in the solar spectral range [
22,
23]. Thus, we can study multiphoton capture, light penetration depth, and uniform photon access of bed surfaces (foams, films, packed bed, catalysts prepared by sputtering, among others) [
33]. Even the light that is potentially absorbed and overlapped, not only in the catalytic bed surface with active species for the photoreduction, but also an increment in the vibration and certain polarization of the molecules of CO
2 and H
2O is expected, promoting an increment in their reactivity. Additionally, catalyst temperature with high average power can be optically increased [
21]. Therefore, efficiently absorbed with respect to available irradiated photons is typically considered. On the other hand, the product molecules respect for such absorbed photons is also required to study the optimal thickness and optical properties of the photocatalyst. The combination control of gas mixing and the selection of solar radiation allows the selective product molecules with the practical option of residence time. The residence time is an excellent tool for improving light-matter interaction, studying thermodynamics, kinetics, and photocatalytic activity properties [
34,
35], and the concentration control of the reactants and reabsorption at the surface of such photocatalyst is possible.
From a fundamental point of view, the mechanistic (synergistic) steps involved, while a photocatalytic process is performed, are related to alternative pathways compared to those involved in thermal (dark) processes. Although photonics is always complicated and many speculations emerge when it is used for chemical transformations, greater and greater insight into catalyst characterization has been gained that allows the establishment of more convincing reaction mechanisms based on both the molecular electronic behavior and their interactions [
21,
22,
23]. Prototype reactors, hence, become important because it sets the path for scaling-up. Assuring the latter, and with the long residence time that is currently evaluated, it is likely to obtain those aforementioned eco-fuels from the wet process CO
2 reduction.