TECHNICAL PAPERS
Jun 1, 1997

Oxygen Transfer Similitude for Vented Hydroturbine

Publication: Journal of Hydraulic Engineering
Volume 123, Issue 6

Abstract

A similitude relationship for the oxygen transfer that occurs in a vented hydroturbine is developed with reference to scaling between a homologous turbine model and a full-size turbine installation (prototype). Three basic parameters are identified as important for the scaling of oxygen transfer: the liquid film coefficient, the specific surface area, and the contact time. The similitude relation is then developed with existing theories on turbine hydrodynamics, bubble hydrodynamics, and interfacial mass transfer. The only model-prototype data set currently available is used to empirically fit one coefficient and to test the theory. Model-prototype similitude for oxygen transfer is primarily a function of gas-void ratio, rotational speed, and runner diameter with diffusivity, surface tension, and density playing a lesser role.

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References

1.
Almquist, C. W., Hopping, P. N., and March, P. A. (1991). “Energy losses due to air admission in hydroturbines.”Proc., Hydr. Engrg. '91, ASCE, New York, N.Y.
2.
Amberg, H. R., Wise, D. W., and Aspitarle, T. R. (1969). “Aeration of streams with air and molecular oxygen.”Proc., 6th Water and Air Conf. of Tech. Assn. of Pulp and Paper Industry, Jacksonville, Fla.
3.
Azbel, D. (1981). Two phase flows in chemical engineering. Cambridge University Press, London, Chapters 3 and 7.
4.
Bohac, C. E., Boyd, J. W., Harshbarger, E. D., and Lewis, A. R. (1983). “Techniques for reaeration of hydropower releases.”Tech. Rep. E-83-5, U.S. Army Corps of Engineers, Waterway Experiment Station, Vicksburg, Miss.
5.
Bohac, C. E., and Ruane, R. J.(1990). “Solving the dissolved oxygen problem.”Hydro Rev., 10(1), 62–73.
6.
Calderbank, D. H., and Moo-Young, M. C.(1962). “The continuous phase heat and mass transfer properties of dispersions.”Chem. Engrg. Sci., 39(16), 1912–1919.
7.
Falvey, H. T.(1994). “Discussion of oxygen transfer in bubbly shear flow.”J. Hybr. Engrg., ASCE, 120(6), 774–776.
8.
Geankopolis, C. J. (1983). Mass transfer and unit operations. McGraw-Hill Co., Inc., New York, N.Y.
9.
Gulliver, J. S., Hibbs, D. E., and McDonald, J. P.(1997). “Measurement of effective saturation concentration for gas transfer.”J. Hydr. Engrg., ASCE, 123(2), 86–97.
10.
Gulliver, J. S., Thene, J. R., and Rindels, A. J.(1990). “Indexing gas transfer in self aerated flows.”J. Envir. Engrg., ASCE, 116(3), 503–523.
11.
Hammerton, D., and Garner, F. H. (1954). Trans., Inst. of Chem. Engrg., 32, 518.
12.
Harshbarger, E. D. (1984). “Streamlined hub baffles for aeration at Norris Dam.”Rep. WR28-1-2-110, Tennessee Valley Authority Engrg. Lab., Norris, Tenn.
13.
Hinze, J. O.(1955). “Fundamentals of the hydrodynamic mechanism of splitting in dispersion processes.”Am. Inst. of Chem. Engrg. J., 1(3), 289–295.
14.
Hua, H.(1990). “Accurate method for calculation of saturation DO.”J. Envir. Engrg., ASCE, 116(5), 988–990.
15.
Jun, K. S., and Jain, S. C.(1993). “Oxygen transfer in bubbly turbulent shear flow.”J. Hydr. Engrg., ASCE, 119(1), 21–36.
16.
Killen, J. M. (1982). “Maximum stable bubble size and associated noise spectra in a turbulent boundary layer.”Proc., Cavitation and Polyphase Flow Forum, Am. Soc. of Mech. Engrs., New York, N.Y., 1–3.
17.
Kreyszig, E. (1979). Advanced engineering mathematics. John Wiley & Sons, Inc., New York, N.Y.
18.
Levich, V. G. (1962). Physiochemical hydrodynamics. Prentice-Hall, Inc., Englewood Cliffs, N.J.
19.
March, P. A., Brice, T. A., Mobley, M. H., and Cybularz Jr., J. L.(1992). “Turbines for solving the D.O. dilemma.”Hydro Rev., 11(1), 30–36.
20.
March, P. A., and Waldrop, W. A. (1991). “Technology development for auto-venting turbines.”Air-water mass transfer. ASCE, New York, N.Y., 506–511.
21.
Mattice, J. S. (1991). “Ecological effects of hydropower facilities.”Hydropower engineering handbook, J. S. Gulliver and R. E. A. Arndt, eds., McGraw-Hill Book Co., Inc., New York, N.Y.
22.
Mobley, M., and Brice, T. (1991). “Experimental difficulties encountered in testing air/water mixtures.”Proc., Hydr. Engrg. '91, ASCE, New York, N.Y.
23.
Raney, D. C.(1977). “Turbine aspiration for oxygen supplementation.”J. Envir. Engrg. Div., ASCE, 103(2), 341–352.
24.
Raney, D. C., and Arnold, T. G.(1973). “Dissolved oxygen improvement by hydroelectric turbine aspiration.”J. Power Div., ASCE, 99(1), 139–154.
25.
Sevik, M., and Park, S. H.(1973). “The splitting of drops and bubbles by turbulent fluid flow.”J. Fluids Engrg., 95(1), 53–60.
26.
Sheppard, A. R., and Miller, D. E. (1982). “Dissolved oxygen in hydro plant discharge increased by aeration.”Power Engrg., 86(Oct.), 62–65.
27.
Thompson, E. J. (1993). “Oxygen transfer similitude for a vented hydroturbine,” MS thesis, Univ. of Minnesota, Minneapolis, Minn.
28.
Weithman, A. S., Whithley, J. R., and Haas, M. A. (1980). “Table rock tailwater trout fishery—value, use, and dissolved oxygen problem.”Seminar on Water Quality Evaluation, U.S. Army Corps of Engineers, Waterways Experiment Station, Vicksburg, Miss.
29.
Wilhelms, S. C., Schneider, M. L., and Howington, S. E. (1987). “Improvement of hydropower release dissolved oxygen with turbine venting.”Tech. Rep. E-87-3, U.S. Army Corps of Engineers, Waterways Experiment Station, Vicksburg, Miss.

Information & Authors

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 123Issue 6June 1997
Pages: 529 - 538

History

Published online: Jun 1, 1997
Published in print: Jun 1997

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Authors

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Eric J. Thompson, Associate Member, ASCE,
Assoc. Engr., Montgomery Watson, 545 Indian Mound, Wayzata, MN 55391.
John S. Gulliver, Fellow, ASCE
Prof., St. Anthony Falls Hydr. Lab., Dept. of Civ. Engrg., Univ. of Minnesota, Minneapolis, MN 55455.

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