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Technical Brief

Correlations of Bubble Diameter and Frequency for Air–Water System Based on Orifice Diameter and Flow Rate

[+] Author and Article Information
Hasan B. Al Ba'ba'a

Department of Mechanical Engineering,
University of Wisconsin—Milwaukee,
3200 North Cramer Avenue,
Milwaukee, WI 53211
e-mail: halbabaa@uwm.edu

Tarek Elgammal

Department of Mechanical Engineering,
University of Wisconsin—Milwaukee,
3200 North Cramer Avenue,
Milwaukee, WI 53211
e-mail: elgammal@uwm.edu

Ryoichi S. Amano

Fellow ASME
Department of Mechanical Engineering,
University of Wisconsin—Milwaukee,
115 East Reindl Way,
Glendale, WI 53212
e-mail: amano@uwm.edu

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received June 5, 2015; final manuscript received May 7, 2016; published online July 15, 2016. Assoc. Editor: Mark R. Duignan.

J. Fluids Eng 138(11), 114501 (Jul 15, 2016) (7 pages) Paper No: FE-15-1382; doi: 10.1115/1.4033749 History: Received June 05, 2015; Revised May 07, 2016

Prediction correlations of air bubble diameter and frequency in stagnant clean water were established. Eleven different orifice diameters were tested under flow rate of 0.05–0.15 SLPM. The resulted bubble size and frequency were traced using high-speed camera. It was found that the mean Sauter diameter and bubble frequency are in the range of 3.7–6.9 mm and 6.4–47.2 bubbles per second, respectively. Nonlinear regression was performed to design the new correlations of estimating diameter and frequency with a correlation factor of 0.93 and 0.94, respectively. Flow rate and orifice size had the highest impact on the studied parameters.

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References

Dietrich, N. , Mayoufi, N. , Poncin, S. , and Li, H. Z. , 2013, “ Experimental Investigation of Bubble and Drop Formation at Submerged Orifices,” Chem. Pap., 67(3), pp. 313–325. [CrossRef]
Painmanakul, P. , Wachirasak, J. , Jamnongwong, M. , and Hebrard, G. , 2009, “ Theoretical Prediction of Volumetric Mass Transfer Coefficient (kLa) for Designing an Aeration Tank,” Eng. J., 13(3), pp. 13–28. [CrossRef]
Leibson, I. , Holcomb, E. G. , Cacoso, A. G. , and Jacmic, J. J. , 1958, “ Rate of Flow and Mechanics of Bubble Formation From Single Submerged Orifices. II. Mechanics of Bubble Formation,” AIChE J., 2(3), pp. 296–300. [CrossRef]
Van Krevelen, D. , and Hoftijzer, P. , 1950, “ Studies of Gas-Bubble Formation: Calculations of Interfacial Area in Bubble Contactors,” Chem. Eng. Prog., 46(1), pp. 29–35.
Kumar, A. , Degaleesan, T. E. , Laddha, G. S. , and Hoelscher, H. E. , 1976, “ Bubble Swarm Characteristics in Bubble Columns,” Can. J. Eng., 54(5), pp. 503–508. [CrossRef]
Wilkinson, P. M. , and Herman, H. , 1994, “ Mass Transfer and Bubble Size in Bubble Column Under Pressure,” Chem. Eng. Sci., 49(9), pp. 1417–1427. [CrossRef]
Kumar, R. , and Kuloor, N. R. , 1970, “ The Formation of Bubbles and Drops,” Adv. Chem. Eng., 8, pp. 256–368.
Bhavaraju, S. M. , Mashelkar, R. A. , and Blanch, H. W. , 1978, “ Bubble Motion and Mass Transfer in Non-Newtonian Fluids: Part I. Single Bubble in Power Law and Bingham Fluids,” AIChE J., 24(6), pp. 1063–1070. [CrossRef]
Moo-Young, M. , and Blanch, H. , 1981, “ Design of Biochemical Reactors Mass Transfer Criteria for Simple and Complex Systems,” Adv. Biochem. Eng., 19, pp. 1–69.
Kantarci, N. , Borak, F. , and Ulgen, K. , 2005, “ Review: Bubble Column Reactor,” Process Biochem., 40(7), pp. 2263–2283. [CrossRef]
Miller, D. N. , 1974, “ Scale-Up of Agitated Vessels Gas–Liquid Mass Transfer,” AIChE J., 20(3), pp. 445–453. [CrossRef]
Alkhalidi, A. , and Amano, R. , 2015, “ Factors Affecting Fine Bubble Creation and Bubble Size for Activated Sludge,” Water Environ. J., 29(1), pp. 105–113. [CrossRef]
Alkhalidi, A. , and Amano, R. , 2013, “ Membrane for Air Diffuser,” U.S. Patent No. US20130099401 A1.
Alkhalidi, A. , and Amano, R. , 2011, “ Study of Air Bubble Creation for Aerospace Applications,” AIAA Paper No. 2011-5742.
Gnyloskurenko, S. , Byakova, A. , Raychenko, O. , and Nakamura, T. , 2003, “ Influence of Wetting Conditions on Bubble Formation at Orifice in An Inviscid Liquid. Transformation of Bubble Shape and Size,” Colloids Surf., A, 218(1), pp. 73–87. [CrossRef]
Takahashi, T. , and Shimizu, K. , 1968, “ Bubble Formation at Single Circular Hole,” Mem. Sch. Eng., Okayama Univ., 3(1), pp. 57–62.
Nedeltchev, S. , and Schumpe, A. , 2011, “ New Approaches for Theoretical Estimation of Mass Transfer Parameters in Both Gas–Liquid and Slurry Bubble Columns,” Mass Transfer in Multiphase Systems and Its Applications, ElAmin Mohamed, ed., InTech, China, Chap. 18.
Fayolle, Y. , Gillot, S. , Cockx, A. , Bensimhon, L. , Roustanb, M. , and Heduit, A. , 2010, “ In Situ Characterization of Local Hydrodynamic Parameters in Closed Loop Aeration Tanks,” Chem. Eng. J., 158(2), pp. 207–212. [CrossRef]
Pittoors, E. , Guo, Y. , and Van Hulle, S. W. H. , 2014, “ Oxygen Transfer Model Development Based on Activated Sludge and Clean Water in Diffused Aerated Cylindrical Tank,” Chem. Eng. J., 243, pp. 51–59. [CrossRef]
Brown, A. , 2001, “ A Step-by-Step Guide to Nonlinear Regression Analysis of Experimental Data Using a Microsoft Excel Spreadsheet,” Comput. Methods Programs in Biomed., 65(3), pp. 191–200. [CrossRef]
Ashley, K. , Mavinic, D. , and Hall, K. , 2009, “ Effect of Orifice Diameter, Depth of Air Injection and Air Flow Rate on Oxygen Transfer in a Pilot-Scale, Full Lift, Hypolimnetic Aerator,” Can. J. Civ. Eng., 36(1), pp. 137–147. [CrossRef]

Figures

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Fig. 1

Schematic diagram of the experimental setup: A—control valve, B—digital mass flow meter, C—light source, D—single orifice setup, E—glass tank, and F—high-speed camera

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Fig. 2

Measured and predicted values comparison for bubble size

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Fig. 3

Measured and predicted values comparison for bubble frequency

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Fig. 4

Captured images of bubble formation for 0.30 mm orifice under a flow rate of (a) 0.050 SLPM, (b) 0.100 SLPM, and (c) 0.15 SLPM

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Fig. 5

Captured images of bubble formation at a flow rate of qm = 0.050 SLPM for an orifice size of (a) 0.20 mm, (b) 0.41 mm, and (c) 0.61 mm

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Fig. 6

Comparison between Eq. (10) with reported literature at a flow rate of (a) 0.050 SLPM, (b) 0.1 SLPM, and (c) 0.15 SLPM and different orifice sizes

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