When hydrogen or oxygen is produced from water splitting by electrolysis, thermochemical cycles or solar-based photocatalytic methods in water, bubble flow and vapour transfer into the gas phase occur during phase transition. This undesirable vapour transfer requires the use of more energy input to compensate for the evaporation heat requirement as well as for subsequent gas purification in the downstream unit. This paper examines the thermodynamics and kinetics of vapour diffusion and entrainment for ascending bubbles in a vertical column through experimental studies for various gas production rates. The vapour entrainment is interpreted in terms of the phase transition rate and its dependence on various operating parameters such as gas bubble size, liquid depth, temperature, pressure, and concentration is examined in this paper. These effects are investigated experimentally in this paper. A phase transition correlation is developed to analyze these parameters. Also, a predictive model is developed to simulate the physical processes of bubble transport in a vertical liquid column, as it occurs in water splitting processes such as oxygen generation in the thermochemical copper-chlorine cycle, as well as hydrogen generation in electrolytic and photocatalytic processes.
References
Ali, B. A., Pushpavanam, S. 2011. Analysis of liquid circulation and mixing in a partitioned electrolytic tank.International Journal of Multiphase Flow 37: 1191–1200.
Aroutiounian, V. M., Arakelyan, V. M., Shahnazaryan, G. E. 2005. Metal oxide photoelectrodes for hydrogen generation using solar radiation–driven water splitting. Solar Energy 78: 581–592.
Aybers, N. M., Tapucu, A. 1969. The motion of gas bubbles rising through stagnant liquid. Heat and Mass Transfer 2: 118–128.
Baird, M. H. L., Hamielec, A. E. 1962. Forced convection transfer around sphere at intermediate Reynolds numbers, Can. J. Chem. Eng. 40: 119-121.
Bockris, J. O‟M., Bandapani, B., Cocke, D., Ghoroghchian, J. 1985. On the splitting of water. International Journal of Hydrogen Energy 10: 179–201.
Boissonneau, P., Byrne, P. 2000. An experimental investigation of bubble-induced free convection in a small electrochemical cell. Journal of Applied Electrochemistry 30: 767–775.
Buwa, V. V., Deo, D. S., Ranade, V. V. 2006. Eulerian-Lagrangian simulations of unsteady gas-liquid flows in a bubble column. International Journal of Multiphase Flow 32:864–885.
Cengel, Y. A. 2007. Heat and Mass Transfer: A Practical Approach. Boston: McGraw Hill.
Clift, R., Grace, J. R., Weber, M. E. 1978. Bubbles, Drops and Particles. New York: Academic Press.
Dahlkild, A. A. 2001. Modeling the two-phase flow and current distribution along a vertical gas-evolving electrode. Journal of Fluid Mechanics 428: 249–272.
Dincer, I. 2012. Green methods for hydrogen production. International Journal of Hydrogen Energy 37: 1954–1971.
Duineveld, P. C. 1995. The rise velocity and shape of bubbles in pure water at high Reynolds number. Journal of Fluid Mechanics 292: 325–332.
Ellingsen, K., Risso, F. 2001. On the rise of an ellipsoidal bubble in water: oscillatory paths and liquid induced velocity. Journal of Fluid Mechanics 440: 235–268.
Favelukis, M., Mudunuri, R. R. 2003. Unsteady mass transfer in the continuous phase around axisymmetric drops of revolution. Chemical Engineering Science 58: 1191–1196.
Favelukis, M., Raphael, S. 1996. Mass transfer between a slender bubble and a viscous liquid in axisymmetric extensional flow. Chemical Engineering Science 51: 1169–1172.
Feng, Z. G., Michaelides, E. E. 2000. Mass and heat transfer from fluid spheres at low Reynolds numbers. Powder Technology 112: 63–69.
Gratzel, M. 2000. Perspectives for dye-sensitized nanocrystalline solar cells. Progress in Photovoltaics: Research and Applications 8: 171–185.
Hassan, N. M. S., Khan, M. M. K., Rasul, M. G. 2010. A modelling and experimental study of the bubble trajectory in a non-Newtonian crystal suspension. Fluid Dynamics Research 42: 065502.
Holladay, J. D., Hu, J., King, D. L., Wang, Y. 2009. An overview of hydrogen production technologies. Catalysis Today 139: 244–260.
Jarzebski, A. B., Malinowski, J. J. 1986. Transient mass and heat transfer from drops or bubbles in slow non Newtonian flows. Chemical Engineering Science 41: 2575–2578.
Kawase, Y. Y., Ulbrecht, J. J. 1981. Drag and mass transfer in non-Newtonian flows through multi-particle systems at low Reynolds numbers. Chemical Engineering Science 36: 1193–1202.
Kawase, Y. Y., Moo-Young, M. 1986. Approximate solutions for power law fluid flow past a particle at low Reynolds numbers. Journal of Non-Newtonian Fluid Mechanics 21: 167–177.
Kishore, N., Chhabra, R. P., Eswaran, V. 2008. Bubble swarms in power-law liquids at moderate Reynolds numbers: Drag and mass transfer. Chemical Engineering Research and Design 86: 39–53.
Kulkarni, A. A., Joshi, J. B. 2005. Bubble formation and bubble rise velocity in gas-liquid systems: A review. Industrial and Engineering Chemistry Research 44: 5873–5931.
Magnaudet, J., Eames, I. 2000. The motion of high-Reynolds-number bubbles in inhomogeneous flows. Annual Review of Fluid Mechanics 32: 659–708.
Mat, M. D., Aldasb, K. 2005. Application of a two-phase flow model for natural convection in an electrochemical cell. International Journal of Hydrogen Energy 30: 411–420.
Martin, M., Montes, F. J., Galan, M. A. 2010. Approximate theoretical solution for the Sherwood number of oscillating bubbles at different Reynolds numbers. Chemical Engineering and Processing 49: 245–254.
Miyahara, T., Takahashi, T. 1986. Coalescence phenomena at the moment of bubble formation at adjacent holes. Chemical Engineering Research and Design 64: 320.
Mokry, S. 2009. Development of Heat-Transfer Correlation for Superficial Water in SCWR Applications. Masters Thesis. Faculty of Engineering and Applied Science, University of Ontario Institute of Technology, Oshawa, Ontario, Canada.
Nakano, Y., Tien, C. 1967. Approximate solutions of viscous incompressible flow around fluid spheres at intermediate Reynolds numbers. Canadian Journal of Chemical Engineering 45: 135–140.
Naterer, G. F., Suppiah, S., Stolberg, L., Lewis, M., Ferrandon, M., Wang, Z., et al. 2011. Clean hydrogen production with the Cu-Cl cycle – Progress of international consortium, I: Experimental unit operations. International Journal of Hydrogen Energy 35: 15472–15485.
Naterer, G., Suppiah, S., Lewis, M., Gabriel, K., Dincer, I., Rosen, M. A., et al. 2009. Recent Canadian advances in nuclear-based hydrogen production and the thermochemical Cu-Cl cycle. International Journal of Hydrogen Energy 34: 2901–2917.
Norbeck, J. M., Heffel, J. W., Durbin, T. D., Tabbara, B., Bowden, J. M., Montani, M. C. 1996. Hydrogen Fuel for Surface Transportation. Warrendale: Society of Automotive Engineers Inc.
Ohta, M., Kikuchi, D., Yoshida, Y., Sussman, M. 2011. Robust numerical analysis of the dynamic bubble formation process in a viscous liquid. International Journal of Multiphase Flow 37: 1059–1071.
Rosen, M. A. 2010. Advances in hydrogen production by thermochemical water decomposition: A review. Energy 35: 1068–1076.
Ruckenstein, E. 1982. Prediction of rates of heat or mass transfer in complex situations by interpolating between simpler limiting cases. Chemical Engineering Science 37: 1505–1511.
Turner, J., Sverdrup, G., Mann, M. K., Maness, P.C., Kroposki, B., Ghirardi, M., Evans, R.J., Blake, D. 2008. Renewable hydrogen production. International Journal of Hydrogen Energy 379–407.
Vasconcelos, J. M. T., Orvalho, S. P., Alves, S. S. 2002. Gas–liquid mass transfer to single bubbles: Effect of surface contamination. American Institute of Chemical Engineers Journal 48: 1145–1154.
Wang, X., Naterer, G. F. Bibeau, E. 2007. Convective droplet impact and heat transfer from a NACA airfoil. Journal of Thermophysics and Heat Transfer 21: 536–542.
Wang, Z., Roberts, R. R., Naterer, G. F., Gabriel, K. S. 2012. Comparison of thermochemical, electrolytic, photoelectrolytic and photochemical solar-to-hydrogen production technologies. International Journal of Hydrogen Energy (in press).
Yang, B. 2006. Numerical Studies of Single Gas and Vapor Bubble Flows. PhD Thesis. Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD.
How to cite this article
Jianu, O., Rosen, M.A., Naterer, G.F. and Wang, Z. (2012). 'Mass Transfer and Bubble Flow Dynamics in Aqueous Solutions for Hydrogen Production Cycles'. SET Proceedings, 11(1), pp. 2244-2255. https://doi.org/10.65582/set.2012.237