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On the maximal spreading of impacting compound drops

Published online by Cambridge University Press:  12 September 2018

H.-R. Liu ,
C.-Y. Zhang ,
P. Gao Open the ORCID record for P. Gao [Opens in a new window] ,
X.-Y. Lu Open the ORCID record for X.-Y. Lu [Opens in a new window]  and
H. Ding Open the ORCID record for H. Ding [Opens in a new window]
H.-R. Liu
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
C.-Y. Zhang
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
P. Gao
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei 230027, China
X.-Y. Lu
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
H. Ding*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei 230027, China
*
†Email address for correspondence: [email protected]
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Abstract

We numerically study the impact of a compound drop on a hydrophobic substrate using a ternary-fluid diffuse-interface method, aiming to understand how the presence of the inner droplet affects the spreading dynamics and maximal spreading of the compound drop. First, it is interesting to see that the numerical results for an impacting pure drop agree well with the universal rescaling of maximal spreading ratio proposed by Lee et al. (J. Fluid Mech., vol. 786, 2016, R4). Second, two flow regimes have been identified for an impacting compound drop: namely jammed spreading and joint rim formation. The maximal spreading ratio of the compound drop is found to depend on the volume fraction of the inner droplet $\unicode[STIX]{x1D6FC}$, the surface tension ratio $\unicode[STIX]{x1D6FE}$, the Weber number and the flow regime. Moreover, we propose a universal rescaling of maximal spreading ratio for compound drops, by integrating the one for pure drops with a corrected Weber number that takes $\unicode[STIX]{x1D6FC}$, $\unicode[STIX]{x1D6FE}$ and the flow regime into account. The predictions of the universal rescaling are in good agreement with the numerical results for impacting compound drops.

JFM classification

Interfacial Flows (free surface): Contact lines Drops and Bubbles: Drops
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 854 , 10 November 2018 , R6
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Copyright
© 2018 Cambridge University Press 

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