Angular momentum tearing mechanism investigation through intermolecular at the bubble interface

Authors

DOI:

https://doi.org/10.15587/1729-4061.2020.208333

Keywords:

inertial and viscous force, angular momentum, quiescent water, energy density, bubble interface

Abstract

Two-phase flow with gas-liquid component is commonly applied in industries, specifically in the refinery process of liquid products. Oil products with bubbles contents are undesirable in a production process. This paper describes an investigation of a process mechanism regarding the bubble breakup of the two-phase injection into quiescent water. The analytical model was developed based on the force mechanism of water flow at the bubble interface. The inertia force of water flow continually pushes the bubble while the drag force resists it. The bubble gets shapes change that affects the hydrodynamic flow around the bubble. Vortices with high energy density impact and make the stress interface over its strength so that the interface gets tear. The experiment was carried out by observing in the middle part of the injected flow. It was found that the forming process of bubble breakup can be explained as the following steps:

1) sweep model is a bubble pushed by the inertial force of water flow. The viscous force of water shears the surface of the bubble. The effect of both forces, the bubble changes its shape. Then trailing vortex starts to appear in near bubble tail. The second flow of water is in around of the bubble to strengthen the vortex energy density that causes fragments to detach from the parent bubble;

2) stretching model, the apparent bubble has high momentum force infiltrated in stagnant water depth and bubble ends are stretched out by the inertial force of the bubble and viscous force of water. The bubble surface has experienced stretching and tearing become splitting away. Based on the finding, the breakup process is highly dependent on the momentum of water flow, which triggers the secondary flow as the initial process of vortex flow, and it causes the tear of the bubble surface due to angular momentum

Author Biographies

Tri Tjahjono, Brawijaya University Jl. Mayjend Haryono, 167, Malang, Indonesia, 65145 Universitas Muhammadiyah Surakarta Jl. A. Yani Tromol Pos 1, Pabelan, Kartasura, Surakarta 57102, Indonesia

Doctoral Student in Mechanical Engineering

Department of Mechanical Engineering

Lecturer

Department of Mechanical Engineering

Faculty of Engineering

I. N. G. Wardana, Brawijaya University Jl. Mayjend Haryono, 167, Malang, Indonesia, 65145

Professor in Mechanical Engineering

Department of Mechanical Engineering

Mega Nur Sasongko, Brawijaya University Jl. Mayjend Haryono, 167, Malang, Indonesia, 65145

Associate Professor in Mechanical Engineering

Department of Mechanical Engineering

Agung Sugeng Widodo, Brawijaya University Jl. Mayjend Haryono, 167, Malang, Indonesia, 65145

Associate Professor in Mechanical Engineering

Department of Mechanical Engineering

References

  1. Walter, J. F., Blanch, H. W. (1986). Bubble break-up in gas – liquid bioreactors: Break-up in turbulent flows. The Chemical Engineering Journal, 32 (1), B7–B17. doi: https://doi.org/10.1016/0300-9467(86)85011-0
  2. Hinze, J. O. (1955). Fundamentals of the hydrodynamic mechanism of splitting in dispersion processes. AIChE Journal, 1 (3), 289–295. doi: https://doi.org/10.1002/aic.690010303
  3. Chen, Z., Ata, S., Jameson, G. J. (2015). Break-up of bubble clusters in turbulent flow – Theory. Powder Technology, 279, 228–232. doi: https://doi.org/10.1016/j.powtec.2015.04.016
  4. Tomiyama, A., Kataoka, I., Zun, I., Sakaguchi, T. (1998). Drag Coefficients of Single Bubbles under Normal and Micro Gravity Conditions. JSME International Journal Series B, 41 (2), 472–479. doi: https://doi.org/10.1299/jsmeb.41.472
  5. Rassame, S., Hibiki, T., Ishii, M. (2016). Void penetration length from air injection through a downward large diameter submerged pipe in water pool. Annals of Nuclear Energy, 94, 832–840. doi: https://doi.org/10.1016/j.anucene.2016.04.046
  6. Bai, H., Thomas, B. G. (2001). Bubble formation during horizontal gas injection into downward-flowing liquid. Metallurgical and Materials Transactions B, 32 (6), 1143–1159. doi: https://doi.org/10.1007/s11663-001-0102-y
  7. Xing, C., Wang, T., Guo, K., Wang, J. (2014). A unified theoretical model for breakup of bubbles and droplets in turbulent flows. AIChE Journal, 61 (4), 1391–1403. doi: https://doi.org/10.1002/aic.14709
  8. Bari, S. D., Robinson, A. J. (2013). Experimental study of gas injected bubble growth from submerged orifices. Experimental Thermal and Fluid Science, 44, 124–137. doi: https://doi.org/10.1016/j.expthermflusci.2012.06.005
  9. Han, L., Luo, H., Liu, Y. (2011). A theoretical model for droplet breakup in turbulent dispersions. Chemical Engineering Science, 66 (4), 766–776. doi: https://doi.org/10.1016/j.ces.2010.11.041
  10. Wichterle, K., Wichterlová, J., Kulhánková, L. (2005). Breakup of Bubbles Rising in Liquids of Low and Moderate Viscosity. Chemical Engineering Communications, 192 (5), 550–556. doi: https://doi.org/10.1080/00986440590495034
  11. Lima Neto, I. E., Zhu, D. Z., Rajaratnam, N. (2008). Bubbly jets in stagnant water. International Journal of Multiphase Flow, 34 (12), 1130–1141. doi: https://doi.org/10.1016/j.ijmultiphaseflow.2008.06.005
  12. Zhang, C., Sa, R., Zhou, D., Jiang, H. (2017). Effects of gas velocity and break size on steam penetration depth using gas jet into water similarity experiments. Progress in Nuclear Energy, 98, 38–44. doi: https://doi.org/10.1016/j.pnucene.2017.02.006
  13. Canedo, E. L., Favelukis, M., Tadmor, Z., Talmon, Y. (1993). An experimental study of bubble deformation in viscous liquids in simple shear flow. AIChE Journal, 39 (4), 553–559. doi: https://doi.org/10.1002/aic.690390403
  14. Al-Hayes, R. A. M., Winterton, R. H. S. (1981). Bubble diameter on detachment in flowing liquids. International Journal of Heat and Mass Transfer, 24 (2), 223–230. doi: https://doi.org/10.1016/0017-9310(81)90030-2
  15. Yang, B., Prosperetti, A., Takagi, S. (2003). The transient rise of a bubble subject to shape or volume changes. Physics of Fluids, 15 (9), 2640–2648. doi: https://doi.org/10.1063/1.1592800
  16. Liu, L., Yan, H., Zhao, G. (2015). Experimental studies on the shape and motion of air bubbles in viscous liquids. Experimental Thermal and Fluid Science, 62, 109–121. doi: https://doi.org/10.1016/j.expthermflusci.2014.11.018
  17. Lee, H. S., Merte, H. (1996). Spherical vapor bubble growth in uniformly superheated liquids. International Journal of Heat and Mass Transfer, 39 (12), 2427–2447. doi: https://doi.org/10.1016/0017-9310(95)00342-8
  18. Nguyen, V. T., Song, C.-H., Bae, B.-U., Euh, D.-J. (2013). Modeling of bubble coalescence and break-up considering turbulent suppression phenomena in bubbly two-phase flow. International Journal of Multiphase Flow, 54, 31–42. doi: https://doi.org/10.1016/j.ijmultiphaseflow.2013.03.001
  19. Shi, W., Yang, X., Sommerfeld, M., Yang, J., Cai, X., Li, G., Zong, Y. (2019). Modelling of mass transfer for gas-liquid two-phase flow in bubble column reactor with a bubble breakage model considering bubble-induced turbulence. Chemical Engineering Journal, 371, 470–485. doi: https://doi.org/10.1016/j.cej.2019.04.047
  20. Chen, Y., Ding, J., Weng, P., Lu, Z., Li, X. (2019). A theoretical model describing bubble deformability and its effect on binary breakup in turbulent dispersions. European Journal of Mechanics - B/Fluids, 75, 352–360. doi: https://doi.org/10.1016/j.euromechflu.2018.09.004
  21. Zhang, H., Yang, G., Sayyar, A., Wang, T. (2020). An improved bubble breakup model in turbulent flow. Chemical Engineering Journal, 386, 121484. doi: https://doi.org/10.1016/j.cej.2019.04.064
  22. Hreiz, R., Lainé, R., Wu, J., Lemaitre, C., Gentric, C., Fünfschilling, D. (2014). On the effect of the nozzle design on the performances of gas–liquid cylindrical cyclone separators. International Journal of Multiphase Flow, 58, 15–26. doi: https://doi.org/10.1016/j.ijmultiphaseflow.2013.08.006
  23. Sosinovich, V. A., Tsyganov, V. A., Kolovandin, B. A., Puris, B. I., Gertsovich, V. A. (1995). Model of gas bubble breakup in a turbulent liquid flow. Journal of Engineering Physics and Thermophysics, 68 (2), 164–175. doi: https://doi.org/10.1007/bf00862856
  24. Emami, A., Briens, C. (2008). Study of downward gas jets into a liquid. AIChE Journal, 54 (9), 2269–2280. doi: https://doi.org/10.1002/aic.11524
  25. Clanet, C., Lasheras, J. C. (1997). Depth of penetration of bubbles entrained by a plunging water jet. Physics of Fluids, 9 (7), 1864–1866. doi: https://doi.org/10.1063/1.869336
  26. Liu, Z., Reitz, R. D. (1997). An analysis of the distortion and breakup mechanisms of high speed liquid drops. International Journal of Multiphase Flow, 23 (4), 631–650. doi: https://doi.org/10.1016/s0301-9322(96)00086-9
  27. Das, S., Weerasiri, L. D., Yang, W. (2017). Influence of surface tension on bubble nucleation, formation and onset of sliding. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 516, 23–31. doi: https://doi.org/10.1016/j.colsurfa.2016.12.010
  28. Jo, D., Revankar, S. T. (2011). Investigation of bubble breakup and coalescence in a packed-bed reactor – Part 2: Development of a new bubble breakup and coalescence model. International Journal of Multiphase Flow, 37 (9), 1003–1012. doi: https://doi.org/10.1016/j.ijmultiphaseflow.2011.06.015
  29. Wang, X., Zhu, C., Wu, Y., Fu, T., Ma, Y. (2015). Dynamics of bubble breakup with partly obstruction in a microfluidic T-junction. Chemical Engineering Science, 132, 128–138. doi: https://doi.org/10.1016/j.ces.2015.04.038
  30. Mortuza, S. M., Gent, S. P., Kommareddy, A., Anderson, G. A. (2012). Investigation of Bubble and Fluid Flow Patterns Within a Column Photobioreactor. Journal of Fuel Cell Science and Technology, 9 (3). doi: https://doi.org/10.1115/1.4006052
  31. Kajero, O. T., Abdulkadir, M., Abdulkareem, L., Azzopardi, B. J. (2018). Experimental study of viscous effects on flow pattern and bubble behavior in small diameter bubble column. Physics of Fluids, 30 (9), 093101. doi: https://doi.org/10.1063/1.5045160
  32. Tomita, Y., Robinson, P. B., Tong, R. P., Blake, J. R. (2002). Growth and collapse of cavitation bubbles near a curved rigid boundary. Journal of Fluid Mechanics, 466, 259–283. doi: https://doi.org/10.1017/s0022112002001209
  33. Han, R., Wang, S., Yao, X. (2016). Dynamics of an air bubble induced by an adjacent oscillating bubble. Engineering Analysis with Boundary Elements, 62, 65–77. doi: https://doi.org/10.1016/j.enganabound.2015.09.009
  34. Ellingsen, K., Risso, F. (2001). On the rise of an ellipsoidal bubble in water: oscillatory paths and liquid-induced velocity. Journal of Fluid Mechanics, 440, 235–268. doi: https://doi.org/10.1017/s0022112001004761
  35. Chu, P., Waters, K. E., Finch, J. A. (2016). Break-up in formation of small bubbles: Break-up in a confined volume. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 503, 88–93. doi: https://doi.org/10.1016/j.colsurfa.2016.05.037
  36. Rodríguez-Rodríguez, J., Gordillo, J. M., Martínez-Bazán, C. (2006). Breakup time and morphology of drops and bubbles in a high-Reynolds-number flow. Journal of Fluid Mechanics, 548, 69–86. doi: https://doi.org/10.1017/s002211200500741x
  37. Ratajczak, H., Orville‐Thomas, W. J. (1973). Charge‐transfer properties of hydrogen bonds. III. Charge‐transfer theory and the relation between the energy and the enhancement of dipole moment of hydrogen‐bonded complexes. The Journal of Chemical Physics, 58 (3), 911–919. doi: https://doi.org/10.1063/1.1679344
  38. Zivkov, E., Yarusevych, S., Porfiri, M., Peterson, S. D. (2015). Numerical investigation of the interaction of a vortex dipole with a deformable plate. Journal of Fluids and Structures, 58, 203–215. doi: https://doi.org/10.1016/j.jfluidstructs.2015.08.009
  39. Egger, D. A., Zojer, E. (2013). Anticorrelation between the Evolution of Molecular Dipole Moments and Induced Work Function Modifications. The Journal of Physical Chemistry Letters, 4 (20), 3521–3526. doi: https://doi.org/10.1021/jz401721r
  40. Joshi, S., Kumari, S., Bhattacharjee, R., Sarmah, A., Sakhuja, R., Pant, D. D. (2015). Experimental and theoretical study: Determination of dipole moment of synthesized coumarin–triazole derivatives and application as turn off fluorescence sensor: High sensitivity for iron(III) ions. Sensors and Actuators B: Chemical, 220, 1266–1278. doi: https://doi.org/10.1016/j.snb.2015.07.053
  41. Starikov, V. I., Petrova, T. M., Solodov, A. M., Solodov, A. A., Deichuli, V. M. (2019). Study of the H2O dipole moment and polarisability vibrational dependence by the analysis of rovibrational line shifts. Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy, 210, 275–280. doi: https://doi.org/10.1016/j.saa.2018.11.032
  42. Ngafwan, N., Wardana, I. N. G., Wijayanti, W., Siswanto, E. (2018). The role of NaOH and papaya latex bio-activator during production of carbon nanoparticle from rice husks. Advances in Natural Sciences: Nanoscience and Nanotechnology, 9 (4), 045011. doi: https://doi.org/10.1088/2043-6254/aaf3af

Downloads

Published

2020-08-31

How to Cite

Tjahjono, T., Wardana, I. N. G., Sasongko, M. N., & Widodo, A. S. (2020). Angular momentum tearing mechanism investigation through intermolecular at the bubble interface. Eastern-European Journal of Enterprise Technologies, 4(8 (106), 37–47. https://doi.org/10.15587/1729-4061.2020.208333

Issue

Section

Energy-saving technologies and equipment