Nomenclature

more uniformly distributed, in which case the enhanced overall mass transfer estimation

Figure 14. Distribution of estimated volumetric mass transfer coefficient at different cross sections in the bubble column for Case 2. (a) Luo and Svendsen model; (b) improved breakup model. (from top to bottom: H = 0.6, 0.5, 0.4, 0.3 and 0.2 m.).

In this study, an improved breakup model has been proposed based on the breakup model by Luo and Svendsen [3]. This improved breakup model takes into account the variation of bubble shapes in bubble columns, which include spherical, ellipsoid and spherical-cap shaped bubbles. In addition, the model considers the pressure energy controlled breakup coupled with modified breakage criteria. The simulation results demonstrate an overall agreement with the experimental data reported in the open literature. The difference between the surface energy and the pressure energy requirements for forming various daughter bubbles has been illustrated. The energy density constraint has been applied to prevent overestimating the breakage rate of small bubbles. This study on the dynamic behaviour of various bubble shapes could potentially lead to a more comprehensive understanding of the mass and heat transfer

comes from the statistical sum of the contributions of each bubble class.

84 Heat and Mass Transfer - Advances in Modelling and Experimental Study for Industrial Applications

characteristics of multiphase flows in the bubble column.

4. Conclusion


Author details

, Jie Yang2

Technology, Shanghai, PR China

, Guang Li<sup>1</sup>

Nottingham Ningbo China, Ningbo, PR China

AICHE Journal. 1990;36(10):1485-1499

AICHE Journal. 2002;48(11):2426-2443

AICHE Journal. 2006;52(6):2031-2038

sions. Chemical Engineering Science. 2011;66(4):766-776

sions. AICHE Journal. 1996;42(5):1225-1233

\*Address all correspondence to: xiaogang.yang@nottingham.edu.cn

, Yuan Zong<sup>3</sup> and Xiaogang Yang<sup>1</sup>

Modelling of Bubbly Flow in Bubble Column Reactors with an Improved Breakup Kernel Accounting for Bubble…

1 Department of Mechanical, Materials and Manufacturing Engineering, The University of

2 School of Mathematical Sciences, The University of Nottingham Ningbo China, Ningbo, PR

[1] Coulaloglou CA, Tavlarides LL. Description of interaction processes in agitated liquid-

[2] Prince MJ, Blanch HW. Bubble coalescence and break-up in air-Sparged bubble-columns.

[3] Luo H, Svendsen HF. Theoretical model for drop and bubble breakup in turbulent disper-

[4] Lehr F, Millies M, Mewes D. Bubble-size distributions and flow fields in bubble columns.

[5] Wang TF, Wang JF, Jin Y. A novel theoretical breakup kernel function for bubbles/droplets

[6] Zhao H, Ge W. A theoretical bubble breakup model for slurry beds or three-phase fluidized beds under high pressure. Chemical Engineering Science. 2007;62(1–2):109-115

[7] Andersson R, Andersson B. Modeling the breakup of fluid particles in turbulent flows.

[8] Liao YX, Rzehak R, Lucas D, Krepper E. Baseline closure model for dispersed bubbly flow: Bubble coalescence and breakup. Chemical Engineering Science. 2015;122:336-349

[9] Han LC, Luo HA, Liu YJ. A theoretical model for droplet breakup in turbulent disper-

[10] Luo H. Coalescence, Breakup and Liuqid Circulation in Bubble Column Reactors. PhD thesis from the Norwegian Institute of Technology: Trondheim, Norway; 1993

[11] Grace JR, Clift R, Weber ME. Bubbles, Drops, and Particles. Academic Press; 1978

3 State Key Laboratory of Chemical Engineering, East China University of Science and

liquid dispersions. Chemical Engineering Science. 1977;32(11):1289-1297

in a turbulent flow. Chemical Engineering Science. 2003;58(20):4629-4637

\*

http://dx.doi.org/10.5772/intechopen.76448

87

Weibin Shi<sup>1</sup>

China

References

