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Modified model of bubble formation in non-Newtonian fluids

Abstract

Based on the comprehensive forces balance model, a modified model of the formation of a single bubble in non-Newtonian fluid under constant flowrate was developed by taking account of the effect of the ingoing gas through orifice as well as its variation on the radial expansion of bubble. The modified model involves the radial expansion equation of bubble surface and the forces balance equation in vertical direction of the bubble respectively. The shape variation of bubbles formed in polyacrylamide (PAM) aqueous solutions under various conditions was predicted numerically. The practical formation of bubbles was real-time visualized and recorded by a CCD camera and a computer by means of a special laser image measurement system. Results show that the predicted shapes of the bubbles by the present model agree well with experimental observation.

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References

  1. Astarita G, Apuzzo G. Motion of gas bubbles in non Newtonian liquids[J]. AIChE J, 1965, 11: 815–825.

    Article  Google Scholar 

  2. Räbiger N, Vogelpohl A. Encyclopedia of Fluid Mechanics[M]. Gulf Pub Co, Houston, 1986

    Google Scholar 

  3. Acharya A, Mashelkar R A, Ulbrecht J J. Bubble formatio in non-Newtonian liquids[J]. Ind Eng Chem Fundam, 1978, 17(3): 230–232.

    Article  Google Scholar 

  4. Miyahara T, Wang W H, Takahashi T. Bubble formation a a submerged orifice in non-Newtonian and highly viscous Newtonian liquids[J]. J Chem Eng Jpn, 1988, 21(6): 620–626.

    Article  Google Scholar 

  5. Favelukis M, Albalak R J. Bubble growth in viscous Newtonia and non-Newtonian liquids[J]. Chem Eng J, 1996, 63(3): 149–155.

    Google Scholar 

  6. Burman J E, Jameson G J. Growth of spherical gas bubble by solute diffusion in non-Newtonian (Power law) liquids[J]. Int J Heat Mass Transfer, 1978, 21(2): 127–136.

    Article  Google Scholar 

  7. Terasaka K, Tsuge H. Bubble formation at a nozzle submerge in viscous liquids having yield stress[J]. Chem Eng Sci, 2001, 56(10): 3237–3245.

    Article  Google Scholar 

  8. Martín M, Montes F J, Galán M A. Numerical calculatio of shapes and detachment times of bubbles generated from a sieve plate[J]. Chem Eng Sci, 2006, 61(2): 363–369.

    Article  Google Scholar 

  9. Martín M, Montes F J, Galán M A. On the influence of th liquid physical properties on bubble volumes and generation times[J]. Chem Eng Sci, 2006, 61(16): 5196–5203.

    Article  Google Scholar 

  10. Li H Z, Qiang S J. Bubble formation in Newtonian an non-Newtonian fluids [J]. Proceedings of the French Academy of Sciences, Series II (Mechanics, Physics, Astronomy), 1998, 326(5): 301–308(in French).

    MATH  Google Scholar 

  11. Kulkarni A A, Joshi J B. Bubble formation and bubble ris velocity in gas-liquid systems: A review[J]. Ind Eng Chem Res, 2005, 44(16): 5873–5931.

    Article  Google Scholar 

  12. Pinczewski W V. The formation and growth of bubbles a a submerged orifice[J]. Chem Eng Sci, 1981, 36(2): 405–411.

    Article  Google Scholar 

  13. Terasaka K, Tsuge H. Bubble formation under constantflo conditions[J]. Chem Eng Sci, 1993, 48(19): 3417–3422.

    Article  Google Scholar 

  14. Yoo D H, Tsuge H, Terasaka K et al. Behavior of bubbl formation in suspended solution for an elevated pressure system[J]. Chem Eng Sci, 1997, 52(21/22): 3701–3707.

    Article  Google Scholar 

  15. Luo X, Yang G Q, Lee D et al. Single bubble formation i high pressure liquid-solid suspensions[J]. Powder Technol, 1998, 100(2/3): 103–112.

    Article  Google Scholar 

  16. Milne-Thomson L M. Theoretical Hydrodynamics [M] 3rd ed. MacMillan, London, 1955.

    Google Scholar 

  17. Ghosh A K, Ulbrecht J J. Bubble formation from a sparge in polymer solutions(I): Stagnant liquid[J]. Chem Eng Sci, 1989, 44(4): 957–968.

    Article  Google Scholar 

  18. Miyahara T, Takahashi T. Bubble volume in single bubblin regime with weeping at a submerged orifice[J]. J Chem Eng Jpn, 1984, 17(6): 597–602.

    Article  Google Scholar 

Download references

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Correspondence to Youguang Ma  (马友光).

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Supported by National Natural Science Foundation of China (No.20476073) and National Programme of Introducing Talents of Discipline to Universities (No.B06006).

MA Youguang, born in 1964, male, Dr, Prof.

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Ma, Y., Fan, W., Jiang, S. et al. Modified model of bubble formation in non-Newtonian fluids. Trans. Tianjin Univ. 15, 56–60 (2009). https://doi.org/10.1007/s12209-009-0011-8

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  • DOI: https://doi.org/10.1007/s12209-009-0011-8

Keywords

  • bubble formation
  • non-Newtonian fluid
  • orifice diameter
  • gas flowrate