Spreading of viscoplastic droplets

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作者
Jalaal, Maziyar [1 ,2 ]
Stoeber, Boris [2 ,3 ]
Balmforth, Neil J. [4 ]
机构
[1] Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge,CB3 0WA, United Kingdom
[2] Department of Mechanical Engineering, University of British Columbia, Vancouver,BC,V6T 1Z4, Canada
[3] Department of Electrical and Computer Engineering, University of British Columbia, Vancouver,BC,V6T 1Z4, Canada
[4] Department of Mathematics, University of British Columbia, Vancouver,BC,V6T 1Z2, Canada
关键词
Asymptotic analysis - Non Newtonian liquids - Yield stress - Numerical methods - Drops;
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摘要
The spreading under surface tension and gravity of a droplet of yield-stress fluid over a thin film of the same material is studied. The droplet converges to a final equilibrium shape once the driving stresses inside the droplet fall below the yield stress. Scaling laws are presented for the final radius and complemented with an asymptotic analysis for shallow droplets. Moreover, numerical simulations using the volume-of-fluid method and a regularized constitutive law, and experiments with an aqueous solution of Carbopol, are presented. © The Author(s), 2021. Published by Cambridge University Press.
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