Abstract
Water sonolysis generates hydrogen through acoustic cavitation. In this work, based on a model for a reactive acoustic bubble, correlations between the sonochemical production of hydrogen and the maximum temperature and pressure reached in the bubble at the violent collapse have been made. The computational analysis has been performed for more than 800 points obtained by combining various cavitation parameters, i.e., frequency, acoustic intensity, liquid temperature, and ambient bubble radius. The simulation results showed that hydrogen production rate progressed linearly with the bubble temperature and pressure rise up to plateaus, which begin at 3500 ± 200 K and 100 ± 10 atm. Analyzing the progress of \(\text {H}^{{\cdot }}\) and \(^{{\cdot }} \)OH (\(\text {H}_{2}\) precursors) as function of bubble temperature and pressure showed very similar evolutions as those obtained for \(\text {H}_{2}\) with the same optimums at 3500 ± 200 K and 100 ± 10 atm. Consequently, in addition to the quench of hydrogen formation at very high bubble temperatures through the reaction \(\text {H}_{2}+\,^{{\cdot }}{\hbox {OH}}\rightarrow \text {H}_{2}\hbox {O}+\text {H}^{{\cdot }}\), the existing optimum temperature and pressure for \(\text {H}_{2}\) production may also be due the hard consumption of their precursors (\(^{{\cdot }}\)OH and \(\text {H}^{{\cdot }})\) above 3500 K and 100 atm.
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References
Dincer, I.; Acar, C.: Review and evaluation of hydrogen production methods for better sustainability. Int. J. Hydrog. Energy 40, 11094–11111 (2015). https://doi.org/10.1016/j.ijhydene.2014.12.035
Haryanto, A.; Fernando, S.; Murali, N.; Adhikari, S.: Current status of hydrogen production techniques by steam reforming of ethanol: A review. Energy Fuels 19, 1098–2106 (2005). https://doi.org/10.1021/ef0500538
Dincer, I.: Green methods for hydrogen production. Int. J. Hydrog. Energy 37, 1954–1971 (2012). https://doi.org/10.1016/j.ijhydene.2011.03.173
Dincer, I.; Acar, C.: Innovation in hydrogen production. Int. J. Hydrog. Energy 42, 14843–14864 (2017). https://doi.org/10.1016/j.ijhydene.2017.04.107
Ezzahra Chakik, F.; Kaddami, M.; Mikou, M.: Effect of operating parameters on hydrogen production by electrolysis of water. Int. J. Hydrog. Energy (2017). https://doi.org/10.1016/j.ijhydene.2017.07.015
Ni, M.; Leung, M.K.H.; Leung, D.Y.C.; Sumathy, K.: A review and recent developments in photocatalytic water-splitting using Ti\(\text{ O }_{2}\) for hydrogen production. Renew. Sustain. Energy Rev. 11, 401–425 (2007). https://doi.org/10.1016/j.rser.2005.01.009
Das, D.; Veziroglu, T.N.: Advances in biological hydrogen production processes. Int. J. Hydrog. Energy 33, 6046–6057 (2008). https://doi.org/10.1016/j.ijhydene.2008.07.098
Merouani, S.; Hamdaoui, O.; Rezgui, Y.; Guemini, M.: Computational engineering study of hydrogen production via ultrasonic cavitation in water. Int. J. Hydrog. Energy 41, 832–844 (2016). https://doi.org/10.1016/j.ijhydene.2015.11.058
Gentili, P.L.; Penconi, M.; Ortica, F.; Cotana, F.; Rossi, F.; Elisei, F.: Synergistic effects in hydrogen production through water sonophotolysis catalyzed by new La\(_{2{\rm x}}\)Ga\(_{2{\rm y}}\)In\(_{2}\)(1\(-\)x\(-\)y)O\(_{3}\) solid solutions. Int. J. Hydrog. Energy 34, 9042–9049 (2009). https://doi.org/10.1016/j.ijhydene.2009.09.027
Merouani, S.; Hamdaoui, O.; Rezgui, Y.; Guemini, M.: Mechanism of the sonochemical production of hydrogen. Int. J. Hydrog. Energy 40, 4056–4064 (2015). https://doi.org/10.1016/j.ijhydene.2015.01.150
Ciawi, E.; Rae, J.; Ashokkumar, M.; Grieser, F.: Determination of temperatures within acoustically generated bubbles in aqueous solutions at different ultrasound frequencies. J. Phys. Chem. B 110, 13656–60 (2006). https://doi.org/10.1021/jp061441t
Didenko, Y.T.; McNamara, W.B.; Suslick, K.S.: Hot spot conditions during cavitation in water. J. Am. Chem. Soc. 121, 5817–5818 (1999). https://doi.org/10.1021/ja9844635
Flannigan, D.J.; Hopkins, S.D.; Camara, C.G.; Putterman, S.J.; Suslick, K.S.: Measurement of pressure and density inside a single sonoluminescing bubble. Phys. Rev. Lett. 96, 204301 (2006). https://doi.org/10.1103/PhysRevLett.96.204301
Anbar, M.; Pecht, I.: On the sonochemical formation of hydrogen peroxide in water. J. Phys. Chem. 68, 352–355 (1964). https://doi.org/10.1021/j100784a025
Hart, E.J.; Henglein, A.: Sonochemistry of aqueous solutions: \(\text{ H }_{2}\)-\(\text{ O }_{2}\) combustion in cavitation bubbles. J. Phys. Chem. 91, 3654–3656 (1987)
Fischer, C.; Hart, E.; Henglein, A.: Ultrasonic irradiation of water in the presence of \(^{18,18} \text{ O }_{2}\): isotope exchange and isotopic distribution of \(\text{ H }_{2} \text{ O }_{2}\). J. Phys. Chem. 90, 1954–1956 (1986)
Hart, E.J.; Fischer, C.-H.; Henglein, A.: Isotopic exchange in the sonolysis of aqueous solutions containing nitrogen-14 and nitrogen-15 molecules. J. Phys. Chem. 90, 5989–5991 (1986)
Fischer, C.-H.; Hart, E.J.; Henglein, A.: H/D isotope exchange in the D\(_{2}\)-\(\text{ H }_{2}\)O system under the influence of ultrasound. J. Phys. Chem. 90, 222–224 (1986)
Hart, E.J.; Fischer, C.; Henglein, A.: Pyrolysis of acetylene in conolytic cavitation bubbles in aqueous solution. J. Phys. Chem. 94, 284–290 (1990)
Buettner, J.; Gutierrez, M.; Henglein, A.: Sonolysis of water-methanol mixtures. J. Phys. Chem. 95, 1528–1530 (1991). https://doi.org/10.1021/j100157a004
Yasui, K.; Tuziuti, T.; Iida, Y.; Mitome, H.: Theoretical study of the ambient-pressure dependence of sonochemical reactions. J. Chem. Phys. 119, 346 (2003). https://doi.org/10.1063/1.1576375
Makino, K.; Mossoba, M.M.; Riesz, P.: Chemical effects of ultrasound on aqueous solutions. Evidence for OH an H by spin trapping. J. Am. Chem. Soc. 104, 3537–3539 (1982). https://doi.org/10.1021/ja00376a064
Adewuyi, Y.G.: Sonochemistry: environmental science and engineering applications. Eng. Chem. Res. 40, 4681–4715 (2001). https://doi.org/10.1021/ie010096l
Merouani, S.; Hamdaoui, O.; Saoudi, F.; Chiha, M.: Influence of experimental parameters on sonochemistry dosimetries: KI oxidation, Fricke reaction and \(\text{ H }_{2} \text{ O }_{2}\) production. J. Hazard. Mater. 178, 1007–1014 (2010). https://doi.org/10.1016/j.jhazmat.2010.02.039
Merouani, S.; Hamdaoui, O.: The size of active bubbles for the production of hydrogen in sonochemical reaction field. Ultrason. Sonochem. 32, 320–327 (2016). https://doi.org/10.1016/j.ultsonch.2016.03.026
Merouani, S.; Hamdaoui, O.; Rezgui, Y.; Guemini, M.: Sensitivity of free radicals production in acoustically driven bubble to the ultrasonic frequency and nature of dissolved gases. Ultrason. Sonochem. 22, 41–50 (2014). https://doi.org/10.1016/j.ultsonch.2014.07.011
Merouani, S.; Ferkous, H.; Hamdaoui, O.; Rezgui, Y.; Guemini, M.: A method for predicting the number of active bubbles in sonochemical reactors. Ultrason. Sonochem. 22, 51–58 (2014). https://doi.org/10.1016/j.ultsonch.2014.07.015
Merouani, S.; Hamdaoui, O.; Rezgui, Y.; Guemini, M.: Modeling of ultrasonic cavitation as an advanced technique for water treatment. Desalin. Water Treat. 56, 1–11 (2014). https://doi.org/10.1080/19443994.2014.950994
Merouani, S.; Hamdaoui, O.; Rezgui, Y.; Guemini, M.: Energy analysis during acoustic bubble oscillations: relationship between bubble energy and sonochemical parameters. Ultrasonics 54, 227–232 (2014). https://doi.org/10.1016/j.ultras.2013.04.014
Crum, L.A.: The polytropic exponent of gas contained within air bubbles pulsating in a liquid. J. Acoust. Soc. Am. 73, 116–120 (1983). https://doi.org/10.1121/1.388844
Keller, J.B.; Miksis, M.: Bubble oscillations of large amplitude. J. Acoust. Soc. Am. 68, 628–633 (1980). https://doi.org/10.1121/1.384720
Colussi, A.J.; Linda, K.; Weavers, A.; Hoffmann, M.R.; Colussi, A.J.; Weavers, L.K.; Hoffmann, M.R.: Chemical bubble dynamics and quantitative sonochemistry. J. Phys. Chem. A 102, 6927–6934 (1998). https://doi.org/10.1021/jp980930t
Yasui, K.: Effect of non-equilibrium evaporation and condensation on bubble dynamics near the sonoluminescence threshold. Ultrasonics 36, 575–580 (1998). https://doi.org/10.1016/S0041-624X(97)00107-8
Storey, B.D.; Szeri, A.J.: A reduced model of cavitation physics for use in sonochemistry. Proc. R. Soc. Lond. A 457, 1685–1700 (2001). https://doi.org/10.1098/rspa.2001.0784A
Merouani, S.; Hamdaoui, O.; Rezgui, Y.; Guemini, M.: Theoretical estimation of the temperature and pressure within collapsing acoustical bubbles. Ultrason. Sonochem. 21, 53–59 (2014). https://doi.org/10.1016/j.ultsonch.2013.05.008
Yasui, K.; Tuziuti, T.; Sivakumar, M.; Iida, Y.: Theoretical study of single-bubble sonochemistry. J. Chem. Phys. 122, 224706 (2005). https://doi.org/10.1063/1.1925607
Merouani, S.; Hamdaouia, O.; Boutamine, Z.; Rezgui, Y.; Guemini, M.: Experimental and numerical investigation of the effect of liquid temperature on the sonolytic degradation of some organic dyes in water. Ultrason. Sonochem. 28, 382–392 (2016). https://doi.org/10.1016/j.ultsonch.2015.08.015
Kerboua, K.; Hamdaoui, O.: Numerical estimation of ultrasonic production of hydrogen: effect of ideal and real gas based models. Ultrason. Sonochem. (2018). https://doi.org/10.1016/j.ultsonch.2017.07.005
Merouani, S.; Hamdaoui, O.; Rezgui, Y.; Guemini, M.: Optimum bubble temperature for the production of hydroxyl radical in acoustic cavitation—frequency dependence. Acta Acust. United Acust. 101, 684–689 (2015). https://doi.org/10.3813/AAA.918864
Yasui, K.; Tuziuti, T.; Iida, Y.: Optimum bubble temperature for the sonochemical production of oxidants. Ultrasonics 42, 579–84 (2004). https://doi.org/10.1016/j.ultras.2003.12.005
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Merouani, S., Hamdaoui, O. Correlations Between the Sonochemical Production Rate of Hydrogen and the Maximum Temperature and Pressure Reached in Acoustic Bubbles. Arab J Sci Eng 43, 6109–6117 (2018). https://doi.org/10.1007/s13369-018-3266-3
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DOI: https://doi.org/10.1007/s13369-018-3266-3