Pointed bubbles in slow viscous flow

作者: J. D. Buckmaster

DOI: 10.1017/S0022112072001910

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摘要: Inviscid bubbles confined by the slow axisymmetric straining motion of a very viscous fluid are considered for case when surface tension is weak. The shape determined using slender-body theory, and it found that these have pointed ends, in agreement with well-established experimental results. description obtained invalid within exponentially small neighbourhoods ends local analysis suggests tips cusp-like. In both major portion bubble there an apparent non-uniqueness because certain parameter can take on countably infinite number values. This not resolved.

参考文章(6)
J. P. K. Tillett, Axial and transverse Stokes flow past slender axisymmetric bodies Journal of Fluid Mechanics. ,vol. 44, pp. 401- 417 ,(1970) , 10.1017/S0022112070001908
Joseph B. Keller, Lester A. Rubenfeld, John E. Molyneux, Extremum principles for slow viscous flows with applications to suspensions Journal of Fluid Mechanics. ,vol. 30, pp. 97- 125 ,(1967) , 10.1017/S0022112067001326
S. Richardson, Two-dimensional bubbles in slow viscous flows Journal of Fluid Mechanics. ,vol. 33, pp. 475- 493 ,(1968) , 10.1017/S0022112068001461
Richard A. Handelsman, Joseph B. Keller, Axially symmetric potential flow around a slender body Journal of Fluid Mechanics. ,vol. 28, pp. 131- 147 ,(1967) , 10.1017/S0022112067001946
Geoffrey Ingram Taylor, The formation of emulsions in definable fields of flow Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 146, pp. 501- 523 ,(1934) , 10.1098/RSPA.1934.0169