Recent Advances in Free Surface Flows
143
63. Sanada, T., Sato, A., Shirota, M., Watanable, M.: Motion and coalescence of a pair of bubbles
rising side by side. Chem. Eng. Sci. 64, 2659 (2009)
64. Tripathi, M.K., Premlata, A.R., Sahu, K.C., Govindarajan, R.: Two initially spherical bubbles
rising in quiescent liquid. Phys. Rev. Fluids 2, 073601 (2017)
65. Chakraborty, I., Biswas, G., Ghoshdastidar, P.S.: A coupled level-set and volume-of-fluid
method for the buoyant rise of gas bubbles in liquids. Int. J. Heat Mass Transf. 58, 240 (2013)
66. Chakraborty, I., Biswas, G., Ghoshdastidar, P.S.: Bubble generation in quiescent and coflowing liquids. Int. J. Heat Mass Transf. 54, 4673 (2011)
67. Brereton, G., Korotney, D.: Coaxial and oblique coalescence of two rising bubbles. In: Dynamics of Bubbles and Vortices Near a Free Surface, vol. 119, p. 50 (1991)
68. Saffman, P.G.: On the rise of small air bubbles in water. J. Fluid Mech. 1, 249 (1956)
69. Zenit, R., Magnaudet, J.: Path instability of rising spheroidal air bubbles: a shape-controlled
process. Phys. Fluids 20, 061702 (2008)
70. Cano-Lozano, J.C., Martínez-Bazán, C., Magnaudet, J., Tchoufag, J.: Paths and wakes of
deformable nearly spheroidal rising bubbles close to the transition to path instability. Phys.
Rev. Fluids 1, 053604 (2016)
71. Vries, A.W.G.: Technical report, University of Twente, Netherlands. ISBN 90 365 15262
(unpublished)
72. Kolomenskiy, D., Schneider, K.: Numerical simulations of falling leaves using a pseudospectral method with volume penalization. Theor. Comput. Fluid Dyn. 24, 169 (2010)
73. Balla, M., Tripathi, M.K., Sahu, K.C.: Shape oscillations of a nonspherical water droplet.
Phys. Rev. E 99, 023107 (2019)
74. Agrawal, M., Premlata, A.R., Tripathi, M.K., Karri, B., Sahu, K.C.: Nonspherical liquid
droplet falling in air. Phys. Rev. E 95, 033111 (2017)
75. Edge, R.M., Grant, C.D.: The terminal velocity and frequency of oscillation of drops in pure
systems. Chem. Eng. Sci. 26, 1001 (1971)
76. Koh, C.J., Leal, L.G.: The stability of drop shapes for translation at zero Reynolds number
through a quiescent fluid. Phys. Fluids A 1(8), 1309 (1989)
77. Koh, C.J., Leal, L.G.: An experimental investigation on the stability of viscous drops translating through a quiescent fluid. Phys. Fluids A 2(12), 2103 (1990)
78. Miller, C., Scriven, L.: The oscillations of a fluid droplet immersed in another fluid. J. Fluid
Mech. 32, 417 (1968)
79. Prosperetti, A.: Free oscillations of drops and bubbles: the initial-value problem. J. Fluid
Mech. 100, 333 (1980)
80. Tsamopoulos, J.A., Brown, R.A.: Nonlinear oscillations of inviscid drops and bubbles. J.
Fluid Mech. 127, 519 (1983)
81. Nath, B., Biswas, G., Dalal, A., Sahu, K.C.: Cross-stream migration of drops suspended in
Poiseuille flow in the presence of an electric field. Phys. Rev. E. 97, 063106 (2018)
82. Konda, H., Tripathi, M.K., Sahu, K.C.: Bubble motion in a converging-diverging channel. J.
Fluids Eng. 138, 064501 (2016)
83. Eggers, J., Villermaux, E.: Physics of liquid jets. Rep. Prog. Phys. 71, 36601 (2008)
84. Plateau, J.: Experimental and Theoretical Statics of Liquids Subject to Molecular Forces Only.
Gauthier-Villas, Paris (1873)
85. Savart, F.: Mémoire sur la constitution des veines liquides lancées par des orifices circulaires
en mince paroi. Ann. Chim. Phys 53, 1833 (1833)
86. Weber, C.: Zum zerfall eines flüssigkeitsstrahles. Z. Angew. Math. Mech. 11, 136 (1931)
87. Goedde, E.F., Yuen, M.C.: Experiments on liquid jet instability. J. Fluid Mech. 40, 495 (1970)
88. Kitamura, Y., Takahashi, T.: Proceedings of ICLASS, vol. 78, pp. 1–7 (1978)
89. Kasyap, T.V., Sivakumar, D., Raghunandan, B.N.: Breakup of liquid jets emanating from
elliptical orifices at low flow conditions. At. Spray 18(7) (2008)
90. Farvardin, E., Dolatabadi, A.: Numerical simulation of the breakup of elliptical liquid jet in
still air. J. Fluids Eng. 135, 071302 (2013)
91. Lin, S.P., Reitz, R.D.: Drop and spray formation from a liquid jet. Annu. Rev. Fluid Mech.
30, 85 (1998)
143
63. Sanada, T., Sato, A., Shirota, M., Watanable, M.: Motion and coalescence of a pair of bubbles
rising side by side. Chem. Eng. Sci. 64, 2659 (2009)
64. Tripathi, M.K., Premlata, A.R., Sahu, K.C., Govindarajan, R.: Two initially spherical bubbles
rising in quiescent liquid. Phys. Rev. Fluids 2, 073601 (2017)
65. Chakraborty, I., Biswas, G., Ghoshdastidar, P.S.: A coupled level-set and volume-of-fluid
method for the buoyant rise of gas bubbles in liquids. Int. J. Heat Mass Transf. 58, 240 (2013)
66. Chakraborty, I., Biswas, G., Ghoshdastidar, P.S.: Bubble generation in quiescent and coflowing liquids. Int. J. Heat Mass Transf. 54, 4673 (2011)
67. Brereton, G., Korotney, D.: Coaxial and oblique coalescence of two rising bubbles. In: Dynamics of Bubbles and Vortices Near a Free Surface, vol. 119, p. 50 (1991)
68. Saffman, P.G.: On the rise of small air bubbles in water. J. Fluid Mech. 1, 249 (1956)
69. Zenit, R., Magnaudet, J.: Path instability of rising spheroidal air bubbles: a shape-controlled
process. Phys. Fluids 20, 061702 (2008)
70. Cano-Lozano, J.C., Martínez-Bazán, C., Magnaudet, J., Tchoufag, J.: Paths and wakes of
deformable nearly spheroidal rising bubbles close to the transition to path instability. Phys.
Rev. Fluids 1, 053604 (2016)
71. Vries, A.W.G.: Technical report, University of Twente, Netherlands. ISBN 90 365 15262
(unpublished)
72. Kolomenskiy, D., Schneider, K.: Numerical simulations of falling leaves using a pseudospectral method with volume penalization. Theor. Comput. Fluid Dyn. 24, 169 (2010)
73. Balla, M., Tripathi, M.K., Sahu, K.C.: Shape oscillations of a nonspherical water droplet.
Phys. Rev. E 99, 023107 (2019)
74. Agrawal, M., Premlata, A.R., Tripathi, M.K., Karri, B., Sahu, K.C.: Nonspherical liquid
droplet falling in air. Phys. Rev. E 95, 033111 (2017)
75. Edge, R.M., Grant, C.D.: The terminal velocity and frequency of oscillation of drops in pure
systems. Chem. Eng. Sci. 26, 1001 (1971)
76. Koh, C.J., Leal, L.G.: The stability of drop shapes for translation at zero Reynolds number
through a quiescent fluid. Phys. Fluids A 1(8), 1309 (1989)
77. Koh, C.J., Leal, L.G.: An experimental investigation on the stability of viscous drops translating through a quiescent fluid. Phys. Fluids A 2(12), 2103 (1990)
78. Miller, C., Scriven, L.: The oscillations of a fluid droplet immersed in another fluid. J. Fluid
Mech. 32, 417 (1968)
79. Prosperetti, A.: Free oscillations of drops and bubbles: the initial-value problem. J. Fluid
Mech. 100, 333 (1980)
80. Tsamopoulos, J.A., Brown, R.A.: Nonlinear oscillations of inviscid drops and bubbles. J.
Fluid Mech. 127, 519 (1983)
81. Nath, B., Biswas, G., Dalal, A., Sahu, K.C.: Cross-stream migration of drops suspended in
Poiseuille flow in the presence of an electric field. Phys. Rev. E. 97, 063106 (2018)
82. Konda, H., Tripathi, M.K., Sahu, K.C.: Bubble motion in a converging-diverging channel. J.
Fluids Eng. 138, 064501 (2016)
83. Eggers, J., Villermaux, E.: Physics of liquid jets. Rep. Prog. Phys. 71, 36601 (2008)
84. Plateau, J.: Experimental and Theoretical Statics of Liquids Subject to Molecular Forces Only.
Gauthier-Villas, Paris (1873)
85. Savart, F.: Mémoire sur la constitution des veines liquides lancées par des orifices circulaires
en mince paroi. Ann. Chim. Phys 53, 1833 (1833)
86. Weber, C.: Zum zerfall eines flüssigkeitsstrahles. Z. Angew. Math. Mech. 11, 136 (1931)
87. Goedde, E.F., Yuen, M.C.: Experiments on liquid jet instability. J. Fluid Mech. 40, 495 (1970)
88. Kitamura, Y., Takahashi, T.: Proceedings of ICLASS, vol. 78, pp. 1–7 (1978)
89. Kasyap, T.V., Sivakumar, D., Raghunandan, B.N.: Breakup of liquid jets emanating from
elliptical orifices at low flow conditions. At. Spray 18(7) (2008)
90. Farvardin, E., Dolatabadi, A.: Numerical simulation of the breakup of elliptical liquid jet in
still air. J. Fluids Eng. 135, 071302 (2013)
91. Lin, S.P., Reitz, R.D.: Drop and spray formation from a liquid jet. Annu. Rev. Fluid Mech.
30, 85 (1998)
