A two-dimensional cusp at the trailing edge of an air bubble rising in a viscoelastic liquid

Y. J. Liu; T. Y. Liao; D. D. Joseph

doi:10.1017/S0022112095004447

Rodrigue, D. De Kee, D. and Chan Man Fong, C.F. 1996. An experimental study of the effect of surfactants on the free rise velocity of gas bubbles. Journal of Non-Newtonian Fluid Mechanics, Vol. 66, Issue. 2-3, p. 213.

Marino, B. M. Thomas, L. P. and Gratton, R. 1997. Shape and size of the current head in creeping flows. Physical Review E, Vol. 55, Issue. 4, p. 4296.

Rodrigue, D. De Kee, D. and Chan Man Fong, C.F. 1998. Bubble velocities: further developments on the jump discontinuity. Journal of Non-Newtonian Fluid Mechanics, Vol. 79, Issue. 1, p. 45.

Jeong, Jae-Tack 1999. IUTAM Symposium on Non–Linear Singularities in Deformation and Flow. p. 283.

Ramaswamy, S. and Leal, L.G. 1999. The deformation of a viscoelastic drop subjected to steady uniaxial extensional flow of a Newtonian fluid. Journal of Non-Newtonian Fluid Mechanics, Vol. 85, Issue. 2-3, p. 127.

Jeong, Jae-Tack 1999. Formation of cusp on the free surface at low Reynolds number flow. Physics of Fluids, Vol. 11, Issue. 3, p. 521.

Podgorski, T. Flesselles, J.-M. and Limat, L. 2001. Corners, Cusps, and Pearls in Running Drops. Physical Review Letters, Vol. 87, Issue. 3,

Pillapakkam, S.B. and Singh, P. 2001. A Level-Set Method for Computing Solutions to Viscoelastic Two-Phase Flow. Journal of Computational Physics, Vol. 174, Issue. 2, p. 552.

De Kee and, D. Chan Man Fong, C. F. and Yao, J. 2002. Bubble Shape in Non-Newtonian Fluids. Journal of Applied Mechanics, Vol. 69, Issue. 5, p. 703.

Rodrigue, Denis and Blanchet, Jean-François 2002. Surface Remobilization of Gas Bubbles in Polymer Solutions Containing Surfactants. Journal of Colloid and Interface Science, Vol. 256, Issue. 2, p. 249.

Ohta, Mitsuhiro Iwasaki, Eiji Obata, Eiji and Yoshida, Yutaka 2003. A numerical study of the motion of a spherical drop rising in shear-thinning fluid systems. Journal of Non-Newtonian Fluid Mechanics, Vol. 116, Issue. 1, p. 95.

Handzy, Nestor Z. and Belmonte, Andrew 2004. Oscillatory Rise of Bubbles in Wormlike Micellar Fluids with Different Microstructures. Physical Review Letters, Vol. 92, Issue. 12,

Soto, E. Goujon, C. Zenit, R. and Manero, O. 2006. A study of velocity discontinuity for single air bubbles rising in an associative polymer. Physics of Fluids, Vol. 18, Issue. 12,

Akers, Benjamin and Belmonte, Andrew 2006. Impact dynamics of a solid sphere falling into a viscoelastic micellar fluid. Journal of Non-Newtonian Fluid Mechanics, Vol. 135, Issue. 2-3, p. 97.

Kawaguchi, Masami Niga, Sukehiro Gou, Nobuaki and Miyake, Kazuo 2006. Buoyancy-Driven Path Instabilities of Bubble Rising in Simple and Polymer Solutions of Hele–Shaw Cell. Journal of the Physical Society of Japan, Vol. 75, Issue. 12, p. 124401.

Zhou, Chunfeng Yue, Pengtao Feng, James J. Liu, Chun and Shen, Jie 2007. Heart-shaped bubbles rising in anisotropic liquids. Physics of Fluids, Vol. 19, Issue. 4,

Málaga, C. and Rallison, J.M. 2007. A rising bubble in a polymer solution. Journal of Non-Newtonian Fluid Mechanics, Vol. 141, Issue. 1, p. 59.

PILLAPAKKAM, SHRIRAM B. SINGH, PUSHPENDRA BLACKMORE, DENIS and AUBRY, NADINE 2007. Transient and steady state of a rising bubble in a viscoelastic fluid. Journal of Fluid Mechanics, Vol. 589, Issue. , p. 215.

Pilz, C. and Brenn, G. 2007. On the critical bubble volume at the rise velocity jump discontinuity in viscoelastic liquids. Journal of Non-Newtonian Fluid Mechanics, Vol. 145, Issue. 2-3, p. 124.

Jeong, Jae-Tack 2007. Free surface deformation due to a source or a sink in Stokes flow. European Journal of Mechanics - B/Fluids, Vol. 26, Issue. 6, p. 720.

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