References:
1. Ulaganathan, V., Krzan, M., Lotfi, M., et al. "Influence of fi-lactoglobulin and its surfactant mixtures on velocity of the rising bubbles", Colloids Surfaces A Physicochem. Eng. Asp., 460, pp. 361-368 (2014).DOI:10.1016/j.colsurfa.2014.04.041.
2. Lotfi, M., Karbaschi, M., Javadi, A., et al. "Dynamics of liquid interfaces under various types of external perturbations", Curr. Opin. Colloid Interface Sci., 19, pp. 309-319 (2014). DOI:10.1016/j.cocis.2014.04.006.
3. Dukhin, S.S., Kovalchuk, V.I., Gochev, G.G., et al. "Dynamics of rear stagnant cap formation at the surface of spherical bubbles rising in surfactant solutions at large reynolds numbers under conditions of small Marangoni number and slow sorption kinetics", Adv. Colloid Interface Sci., 222, pp. 260-274 (2015).DOI:10.1016/j.cis.2014.10.002.
4. Seddigh, E., Azizi, M., Sani, E.S., et al. "Investigation of poly(ether-b-amide)/nanosilica membranes for CO2/CH4 separation", Chinese J. Polym. Sci., 32, pp. 402-410 (2014). DOI:10.1007/s10118-014-1416-y.
5. Paul, N., Schulz, J.M., and Kraume, M. "Fluid dynamics of droplets as a useful tool to determine coverage and adsorption kinetics of surfactants", Chem. Eng. Technol., 38, pp. 1979-1984 (2015).DOI:10.1002/ceat.201500137.
6. Liu, Z., Herman, C., and Kim, J. "Heat transfer and bubble detachment in subcooled pool boiling from a downward-facing microheater array in a nonuniform electric field", Ann. N. Y. Acad. Sci., 1161, pp. 182- 191 (2009). DOI:10.1111/j.1749-6632.2008.04331 x.
7. Matavos-Aramyan S., Ghazi-MirSaeed M., Saeedi-Emadi, A., et al. "Influence of the process parameters on the foam fractionation treatment of olive mill wastewater", Sci. Iran., 23, pp. 2820-2827 (2016). DOI:10.24200/sci.2016.3992.
8. Papadopoulou, V., Tang, M.-X., Balestra, C., et al. "Circulatory bubble dynamics: From physical to biological aspects", Adv. Colloid Interface Sci., 206, pp. 239-249 (2014). DOI:10.1016/j.cis.2014.01.017.
9. Zawala, J., Kosior, D., and Malysa, K. "Formation and influence of the dynamic adsorption layer on kinetics of the rising bubble collisions with solution/gas and solution/ solid interfaces", Adv. Colloid Interface Sci., 222,pp. 765-778 (2015). DOI:10.1016/j.cis.2014.07.013.
10. Shahid, M., Fan, C., and Pashley, R.M. "Insight into the bubble column evaporator and its applications", Int. Rev. Phys. Chem., 35, pp. 143-185 (2016).DOI:10.1080/0144235X.2016.1147144.
11. Saffman, P.G. and Sears, W.R. "On the rise of small air bubbles in water", J. Fluid Mech., 1, p. 249 (1956). DOI:10.1017/S0022112056000159.
12. Dukhin, S.S., Miller, R., and Loglio, G., Physicochemical Hydrodynamics of Rising Bubble, Elsevier, pp. 367-432 (1998). DOI:10.1016/S1383-7303(98)80025-2.
13. Shoghl, S.N., Bahrami, M., and Moraveji, M.K. "Experimental investigation and CFD modeling of the dynamics of bubbles in nanofluid pool boiling", Int. Commun. Heat Mass Transf., 58, pp. 12-24 (2014). DOI:10.1016/j.icheatmasstransfer.2014.07.027.
14. Chakraborty, I., Biswas, G., Polepalle, S., et al. "Bubble formation and dynamics in a quiescent highdensity liquid", AIChE J., 61, pp. 3996-4012 (2015).DOI:10.1002/aic.14896.
15. Azizi, M., Ramazani, A., Etemadi, H., et al. "Simulation of viscoelastic fluid flows in expansion geometry using finite volume approach", Chinese J. Polym. Sci., 31, pp. 1599-1612 (2013). DOI:10.1007/s10118-013-1336-2.
16. Carvajal, D., Carlesi, C., Melendez-Vejar, V., et al. "Numerical simulation of single-bubble dynamics in high-viscosity ionic liquids using the levelset method", Chem. Eng. Technol., 38, pp. 473-481 (2015). DOI:10.1002/ceat.201400449.
17. Premlata, A.R., Tripathi, M.K., and Sahu, K.C. "Dynamics of rising bubble inside a viscositystrati fied medium", Phys. Fluids., 27 072105 (2015).DOI:10.1063/1.4927521.
18. Ohta, M., Tsuji, M., Yoshida, Y., et al. "The transient dynamics of a small bubble rising in a low Morton number regime", Chem. Eng. Technol., 31, pp. 1350-1357 (2008). DOI:10.1002/ceat.200700507.
19. Tomiyama, A., Celata, G.P., Hosokawa, S., et al. "Terminal velocity of single bubbles in surface tension force dominant regime", Int. J. Multiph. Flow., 28, pp. 1497-1519 (2002). DOI:10.1016/S0301-9322(02)00032-0.
20. Krzan, M. and Malysa, K. "Profiles of local velocities of bubbles in n-butanol, n-hexanol and n-nonanol solutions", Colloids Surfaces A Physicochem. Eng. Asp., 207, pp. 279-291 (2002). DOI:10.1016/S0927-7757(02)00163-2.
21. Ziegenhein, T. and Lucas, D. "Observations on bubble shapes in bubble columns under different flow conditions", Exp. Therm. Fluid Sci., 85, pp. 248-256 (2017). DOI:10.1016/j.exptherm usci.2017.03.009.
22. Dukhin, S.S., Lotfi, M., Kovalchuk, V.I., et al. "Dynamics of rear stagnant cap formation at the surface of rising bubbles in surfactant solutions at large Reynolds and Marangoni numbers and for slow sorption kinetics", Colloids Surfaces A Physicochem. Eng. Asp., 492, pp. 127-137 (2016). DOI:10.1016/j.colsurfa.2015.12.028.
23. Malysa, K., Krasowska, M., and Krzan, M. "Influence of surface active substances on bubble motion and collision with various interfaces", Adv. Colloid Interface Sci., 114, pp. 205-225 (2005). DOI:10.1016/j.cis.2004.08.004.
24. Bastani, D., Fayzi, P., Lotfi, M., et al. "CFD simulation of bubble in flow field: Investigation of dynamic interfacial behaviour in presence of surfactant molecules", Colloids Interface Sci. Commun., 27, pp. 1-10 (2018). DOI:10.1016/j.colcom.2018.09.001.
25. Lotfi, M., Bastani, D., Ulaganathan, V., et al. "Bubble in flow field: A new experimental protocol for investigating dynamic adsorption layers by using capillary pressure tensiometry", Colloids Surfaces A Physicochem. Eng. Asp., 460, pp. 369-376 (2014). DOI:10.1016/j.colsurfa.2013.11.011.
26. Clift, R., Grace, J.R., and Weber, M.E., Bubbles, Drops, and Particles, Academic Press, 2005 (Accessed: April 25, 2017).
27. Ellingsen, K. and Risso, F. "On the rise of an ellipsoidal bubble in water: Oscillatory paths and liquidinduced velocity", J. Fluid Mech., 440, pp. 235-268 (2001). DOI:10.1017/S0022112001004761.
28. Bhaga, D. and Weber, M.E. "Bubbles in viscous liquids: Shapes, wakes and velocities", J. Fluid Mech., 105, pp. 61-85 (1981). DOI:10.1017/S002211208100311X.
29. Wu, M. and Gharib, M. "Experimental studies on the shape and path of small air bubbles rising in clean water", Phys. Fluids., 14, L49 (2002). DOI:10.1063/1.1485767.
30. Celata, G.P., D'Annibale, F., Di Marco, P., et al. "Measurements of rising velocity of a small bubble in a stagnant fluid in one and two-component systems", Exp. Therm. Fluid Sci., 31, pp. 609-623 (2007). DOI:10.1016/j.exptherm usci.2006.06.006.
31. Tomiyama, A., Kataoka, I., Zun, I., et al. "Drag coefficients of single bubbles under normal and micro gravity conditions", JSME Int. J. Ser. B., 41, pp. 472- 479 (1998). DOI:10.1299/jsmeb.41.472.
32. Vafaei, S., Angeli, P., and Wen, D. "Bubble growth rate from stainless steel substrate and needle nozzles", Colloids Surfaces A Physicochem. Eng. Asp., 384, pp. 240-247 (2011). DOI:10.1016/j.colsurfa.2011.03.066.
33. Hashmi, A., Yu, G., Reilly-Collette, M., et al. "Oscillating bubbles: A versatile tool for lab on a chip applications", Lab Chip., 12, p. 4216 (2012). DOI:10.1039/c2lc40424a.
34. Tesar, V. "Shape oscillation of microbubbles", Chem. Eng. J., 235, pp. 368-378 (2014). DOI:10.1016/j.cej.2013.09.027.
35. Krzan, M., Zawala, J., and Malysa, K. "Development of steady state adsorption distribution over interface of a bubble rising in solutions of n-alkanols (C5, C8) and n-alkyl trimethyl ammonium bromides (C8, C12, C16)", Colloids Surfaces A Physicochem. Eng. Asp., 298, pp. 42-51 (2007). DOI:10.1016/j.colsurfa.2006.12.056.
36. Taylor, T.D. and Acrivos, A. "On the deformation and drag of a falling viscous drop at low Reynolds number", J. Fluid Mech., 18, pp. 466-476 (1964). DOI:10.1017/S0022112064000349.
37. Vakhrushev, I.A. and Efremov, G.I. "Interpolation formula for computing the velocities of single gas bubbles in liquids", Chem. Technol. Fuels Oils., 6, pp. 376-379 (1970). DOI:10.1007/BF01171684.
38. Marmottant, P. and Hilgenfeldt, S. "Controlled vesicle deformation and lysis by single oscillating bubbles", Nature., 423, pp. 153-156 (2003). DOI:10.1038/nature01613.
39. Hadamard, J.S. "Hydrodynamics - On a question relating to the viscous liquid" [Hydrodynamique-sur une question relative aux liquides visqueux], Comptes Rendus., 154, p. 109 (1912).
40. Dukhin, S.S., Kretzschmar, G., and Miller, R. Thermodynamics and Macro-kinetics of Adsorption, Elsevier (1995). DOI:10.1016/S1383-7303(06)80010-4.
41. Saidi, M.H., Taeibi-Rahni, M., Asadi, B., et al. "Computational simulation of marangoni convection under microgravity condition", Sci. Iran., Trans. B Mechanical Eng., 16, pp. 513-524 (2009).