Theoretical Prediction of the Mass Flow Rates in the Bubble Pump

The bubble pump is an essential part of diffusion absorption cooling systems where heating, pumping of the binary solution, and the separation occur. The existing theoretical models of the bubble pump were initially developed for air lift pumps where neither heating nor separation occurs. Thus, the experimental results for a bubble pump did not correlate well with the theoretical models. Empirical values were suggested in some of the models; however, their values varied from one system to another and could not be predicted analytically. In this work a modified model based on mass, energy, momentum, and heat balances is presented with the utilization of the drift flux model with laminar flow assumption. In addition, for the first time the applied heat is expressed in the model. The suggested model fits better with the experimental results than the previous models.

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  • 1. H. Stenning and C. B Martin, An Analytical and Experimental Study of Air-Lift Pump Performance, Journal of Engineering for Gas Turbines and Power, 90 (1968), 106-112.
  • 2. A. D. Delano, Design Analysis of the Einstein Refrigeration Cycle (Ph.D. dissertation, Georgia Institute of Technology, 1998).
  • 3. A. Koyfman, M. Jelinek, A. Levy, and I. Borde, An Experimental Investigation of Bubble Pump Performance for Diffusion Absorption Refrigeration System with Organic Working Fluids, Applied Thermal Engineering, 23 (2003), 1881–1894.
  • 4. A. Sathe, Experimental and Theoretical Studies on a Bubble Pump for a Diffusion-Absorption Refrigeration System (Master’s thesis, University of Stuttgart, (2001).
  • 5. D. Chisholm, Two-Phase Flow in Pipelines and Heat Exchangers (London: New York: G. Godwin in association with Institution of Chemical Engineers, 1983).
  • 6. A. S. W. Shihab and A. M. A. Morad, Experimental Investigation of Water Vapor- Bubble Pump Characteristics and Its Mathematical Model Reconstruction, Engineering Technology Journal, 30 (2012), 1870–1885.
  • 7. B. Gurevich, M. Jelinek, A. Levy, and I. Borde, Performance of a Set of Parallel Bubble Pumps Operating with a Binary Solution of R134a-DMAC, Applied Thermal Engineering, 75 (2015), 724–730.
  • 8. M. Pffaf, R. Saravanan, M. P. Maiya, and S. S. Murthy, Studies on Bubble Pump for a Water-Lithium Bromide Vapour Absorption Refrigerator, International Journal of Refrigeration, 21 (1998), 452–562.
  • 9. J. Aman, P. Henshaw, and D. S. K. Ting, Performance Characterization of a Bubble Pump for Vapor Absorption Refrigeration Systems, International Journal of Refrigeration, 85 (2018), 58–69.
  • 10. T. Katasuhara, and T. Kazama, Heat Transfer in Two-Phase Flow of Mixtures of Air and Water. 2nd Report - Vertical Channel, Transactions of the JSME, 24 (1958), 552–558.
  • 11. M. Ishii, One-Dimensional Drift-Flux Model and Constitutive Equations for Relative Motion between Phases in Various Two-Phase Flow Regimes (Lemont, IL: Argonne National Laboratory, 1977).
  • 12. R. Collins, F. F. De Moraes, J. F. Davidson, and D. Harrison, The Motion of a Large Gas Bubble Rising through Liquid Flowing in a Tube, Journal of Fluid Mechanics, 89 (1978), 497-514.
  • 13. J. R. Grace and R. Clift, Dependence of Slug Rise Velocity on Tube Reynolds Number in Vertical Gas-Liquid Flow, Chemical Engineering Science, 34 (1979), 1348–1350.
  • 14. K. Bendiksen, On the Motion of Long Bubbles in Vertical Tubes, International Journal of Multiphase Flow, 11 (1985), 797–812.
  • 15. R. H. Bonnecaze, W. Erskine, and E. J. Greskovich, Holdup and Pressure Drop for Two-Phase Slug Flow in Inclined Pipelines, AIChE Journal, 17 (1971), 1109–1113.
  • 16. I. Borde, M. Jelinek, and N. C. Daltrophe, Development of Advanced Absorption Systems Driven by Low Temperature Heat Sources, In Energy Efficiency in Process Technology (Springer Netherlands, 1993), 521–530.
  • 17. A. Yokozeki, Theoretical Performances of Various Refrigerant–absorbent Pairs in a Vapor-Absorption Refrigeration Cycle by the Use of Equations of State, Applied Energy, 80 (2005), 383–399.