142
G. Biswas and K. C. Sahu
35. Ray, B., Biswas, G., Sharma, A.: Regimes during liquid drop impact on a liquid pool. J. Fluid
Mech. 768, 492 (2015)
36. Deka, H., Ray, B., Biswas, G., Dalal, A.: Dynamics of tongue shaped cavity generated during
the impact of high-speed microdrops. Phys. Fluids 30, 042103 (2018)
37. Deka, H., Biswas, G., Chakraborty, S., Dalal, A.: Coalescence dynamics of unequal sized
drops. Phys. Fluids 31, 012105 (2019)
38. Thomson, J.J., Newall, H.F.: V. On the formation of vortex rings by drops falling into liquids,
and some allied phenomena. Proc. R. Soc. Lond. 39, 417 (1886)
39. Worthington, A.M.: A Study of Splashes. Longmans, Green, and Co., Harlow (1908)
40. Stone, H.A., Stroock, A.D., Ajdari, A.: Engineering flows in small devices: microfluidics
toward a lab-on-a-chip. Annu. Rev. Fluid Mech. 36, 381 (2004)
41. Chen, X., Mandre, S., Feng, J.J.: Partial coalescence between a drop and a liquid-liquid
interface. Phys. Fluids 18, 051705 (2006)
42. Ray, B., Biswas, G., Sharma, A.: Generation of secondary droplets in coalescence of a drop
at a liquid-liquid interface. J. Fluid Mech. 655, 72 (2010)
43. Blanchette, F., Bigioni, T.P.: Partial coalescence of drops at liquid interfaces. Nat. Phys. 2,
254 (2006)
44. Deka, H., Ray, B., Biswas, G., Dalal, A., Tsai, P.-H., Wang, A.-B.: The regime of large bubble
entrapment during a single drop impact on a liquid pool. Phys. Fluids 29, 092101 (2017)
45. Wang, A.B., Kuan, C.C., Tsai, P.H.: Do we understand the bubble formation by a single drop
impacting upon liquid surface? Phys. Fluids 25, 101702 (2013)
46. Charles, G.E., Mason, S.G.: The mechanism of partial coalescence of liquid drops at liquid/liquid interfaces. J. Colloid Sci. 15, 105 (1960)
47. Rayleigh, L.: On the instability of jets. Proc. Lond. Math. Soc. 1, 4 (1878)
48. Deka, H., Biswas, G., Sahu, K.C., Kulkarni, Y., Dalal, A.: Coalescence dynamics of a compound drop on a deep liquid pool. J. Fluid Mech. 866 (2019)
49. Bhaga, D., Weber, M.E.: Bubbles in viscous liquids: shapes, wakes and velocities. J. Fluid
Mech. 105, 61 (1981)
50. Magnaudet, J., Mougin, G.: Wake instability of a fixed spheroidal bubble. J. Fluid Mech. 572,
311 (2007)
51. Sharaf, D.M., Premlata, A.R., Tripathi, M.K., Karri, B., Sahu, K.C.: Shapes and paths of an
air bubble rising in quiescent liquids. Phys. Fluids 29, 122104 (2017)
52. Clift, R., Grace, J., Weber, M.: Bubbles, Drops and Particles. Dover Publications Inc., New
York (1978)
53. Haberman, W.L., Morton, R.K.: Technical report, DTIC Document (unpublished)
54. Landel, J.R., Cossu, C., Caulfield, C.P.: Spherical cap bubbles with a toroidal bubbly wake.
Phys. Fluids 20, 122201 (2008)
55. Leal, L.G.: Laminar Flow and Convective Transport Processes. Butterworth and Heinemann,
Stoneham, MA (1992)
56. Kok, J.B.W.: Dynamics of a pair of gas bubbles moving through liquid. Part I. Theory. Eur.
J. Mech. B/Fluids 12, 515 (1993)
57. Legendre, D., Magnaudet, J., Mougin, G.: Hydrodynamic interactions between two spherical
bubbles rising side by side in a viscous liquid. J. Fluid Mech. 497, 133 (2003)
58. Chen, R.H., Tian, W.X., Su, G.H., Qiu, S.Z., Ishiwatari, Y., Oka, Y.I.: Numerical investigation
on coalescence of bubble pairs rising in a stagnant liquid. Chem. Eng. Sci. 66, 5055 (2011)
59. Velez-Cordero, J.R., Sámano, D., Yue, P., Feng, J.J., Zenita, R. Hydrodynamic interaction
between a pair of bubbles ascending in shear-thinning inelastic fluids. J. Non-Newtonian
Fluid Mech. 166, 118 (2011)
60. Islam, M.T., Ganesan, P., Cheng, J.: A pair of bubbles rising dynamics in a xanthan gum
solution: a CFD study. RSC Adv. 5, 7819 (2015)
61. Kok, J.B.W.: Dynamics of a pair of gas bubbles moving through liquid. Part II. Experiment.
Eur. J. Mech. B/Fluids 12, 541 (1993)
62. Duineveld, P.C.: Bouncing and coalescence of bubble pair rising at high Reynolds number in
pure water or aqueous surfactant solutions. Appl. Sci. Res. 58, 409 (1998)
G. Biswas and K. C. Sahu
35. Ray, B., Biswas, G., Sharma, A.: Regimes during liquid drop impact on a liquid pool. J. Fluid
Mech. 768, 492 (2015)
36. Deka, H., Ray, B., Biswas, G., Dalal, A.: Dynamics of tongue shaped cavity generated during
the impact of high-speed microdrops. Phys. Fluids 30, 042103 (2018)
37. Deka, H., Biswas, G., Chakraborty, S., Dalal, A.: Coalescence dynamics of unequal sized
drops. Phys. Fluids 31, 012105 (2019)
38. Thomson, J.J., Newall, H.F.: V. On the formation of vortex rings by drops falling into liquids,
and some allied phenomena. Proc. R. Soc. Lond. 39, 417 (1886)
39. Worthington, A.M.: A Study of Splashes. Longmans, Green, and Co., Harlow (1908)
40. Stone, H.A., Stroock, A.D., Ajdari, A.: Engineering flows in small devices: microfluidics
toward a lab-on-a-chip. Annu. Rev. Fluid Mech. 36, 381 (2004)
41. Chen, X., Mandre, S., Feng, J.J.: Partial coalescence between a drop and a liquid-liquid
interface. Phys. Fluids 18, 051705 (2006)
42. Ray, B., Biswas, G., Sharma, A.: Generation of secondary droplets in coalescence of a drop
at a liquid-liquid interface. J. Fluid Mech. 655, 72 (2010)
43. Blanchette, F., Bigioni, T.P.: Partial coalescence of drops at liquid interfaces. Nat. Phys. 2,
254 (2006)
44. Deka, H., Ray, B., Biswas, G., Dalal, A., Tsai, P.-H., Wang, A.-B.: The regime of large bubble
entrapment during a single drop impact on a liquid pool. Phys. Fluids 29, 092101 (2017)
45. Wang, A.B., Kuan, C.C., Tsai, P.H.: Do we understand the bubble formation by a single drop
impacting upon liquid surface? Phys. Fluids 25, 101702 (2013)
46. Charles, G.E., Mason, S.G.: The mechanism of partial coalescence of liquid drops at liquid/liquid interfaces. J. Colloid Sci. 15, 105 (1960)
47. Rayleigh, L.: On the instability of jets. Proc. Lond. Math. Soc. 1, 4 (1878)
48. Deka, H., Biswas, G., Sahu, K.C., Kulkarni, Y., Dalal, A.: Coalescence dynamics of a compound drop on a deep liquid pool. J. Fluid Mech. 866 (2019)
49. Bhaga, D., Weber, M.E.: Bubbles in viscous liquids: shapes, wakes and velocities. J. Fluid
Mech. 105, 61 (1981)
50. Magnaudet, J., Mougin, G.: Wake instability of a fixed spheroidal bubble. J. Fluid Mech. 572,
311 (2007)
51. Sharaf, D.M., Premlata, A.R., Tripathi, M.K., Karri, B., Sahu, K.C.: Shapes and paths of an
air bubble rising in quiescent liquids. Phys. Fluids 29, 122104 (2017)
52. Clift, R., Grace, J., Weber, M.: Bubbles, Drops and Particles. Dover Publications Inc., New
York (1978)
53. Haberman, W.L., Morton, R.K.: Technical report, DTIC Document (unpublished)
54. Landel, J.R., Cossu, C., Caulfield, C.P.: Spherical cap bubbles with a toroidal bubbly wake.
Phys. Fluids 20, 122201 (2008)
55. Leal, L.G.: Laminar Flow and Convective Transport Processes. Butterworth and Heinemann,
Stoneham, MA (1992)
56. Kok, J.B.W.: Dynamics of a pair of gas bubbles moving through liquid. Part I. Theory. Eur.
J. Mech. B/Fluids 12, 515 (1993)
57. Legendre, D., Magnaudet, J., Mougin, G.: Hydrodynamic interactions between two spherical
bubbles rising side by side in a viscous liquid. J. Fluid Mech. 497, 133 (2003)
58. Chen, R.H., Tian, W.X., Su, G.H., Qiu, S.Z., Ishiwatari, Y., Oka, Y.I.: Numerical investigation
on coalescence of bubble pairs rising in a stagnant liquid. Chem. Eng. Sci. 66, 5055 (2011)
59. Velez-Cordero, J.R., Sámano, D., Yue, P., Feng, J.J., Zenita, R. Hydrodynamic interaction
between a pair of bubbles ascending in shear-thinning inelastic fluids. J. Non-Newtonian
Fluid Mech. 166, 118 (2011)
60. Islam, M.T., Ganesan, P., Cheng, J.: A pair of bubbles rising dynamics in a xanthan gum
solution: a CFD study. RSC Adv. 5, 7819 (2015)
61. Kok, J.B.W.: Dynamics of a pair of gas bubbles moving through liquid. Part II. Experiment.
Eur. J. Mech. B/Fluids 12, 541 (1993)
62. Duineveld, P.C.: Bouncing and coalescence of bubble pair rising at high Reynolds number in
pure water or aqueous surfactant solutions. Appl. Sci. Res. 58, 409 (1998)