Contracting bubbles in Hele-Shaw cells with a power-law fluid
نویسندگان
چکیده
منابع مشابه
Contracting bubbles in Hele-Shaw cells
The problem of bubble contraction in a Hele-Shaw cell is studied for the case in which the surrounding fluid is of power-law type. A small perturbation of the radially symmetric problem is first considered, focussing on the behaviour just before the bubble vanishes, it being found that for shear-thinning fluids the radially symmetric solution is stable, while for shear-thickening fluids the asp...
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We provide numerical and analytic evidence for the formation of a singu-larity driven only by surface tension in the mathematical model describing a two-dimensional Hele-Shaw cell with no air injection. Constantin and Pugh have proved that no such singularity is possible if the initial shape is close to a circle; thus we show that their result is not true in general. Our evidence takes the form...
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2014 The covering surfaces of a Hele-Shaw cell may be roughened mechanically, or modified by random chemical patches which change the wetting properties. We discuss first the quasi-static injection of a single fluid (with a finite contact angle 03B8e) in an imperfect cell. The shape of the injected region depends critically on a dimensionless number i (ratio of the boundary energy 03C4 over the...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2011
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/24/2/009