Axisymmetric bubble collapse in a quiescent liquid pool. I. Theory and numerical simulations

2008 ◽  
Vol 20 (11) ◽  
pp. 112103 ◽  
Author(s):  
J. M. Gordillo
2008 ◽  
Vol 20 (11) ◽  
pp. 112104 ◽  
Author(s):  
R. Bolaños-Jiménez ◽  
A. Sevilla ◽  
C. Martínez-Bazán ◽  
J. M. Gordillo

2011 ◽  
Vol 2011.86 (0) ◽  
pp. _3-13_
Author(s):  
Kenshirou KUZUTANI ◽  
Hiroyuki TAKAHIRA ◽  
Yoshinori JINBO

2015 ◽  
Vol 767 ◽  
pp. 811-841 ◽  
Author(s):  
C. Frederik Brasz ◽  
Craig B. Arnold ◽  
Howard A. Stone ◽  
John R. Lister

AbstractWhen a solid boundary deforms rapidly into a quiescent liquid layer, a flow is induced that can lead to jet formation. An asymptotic analytical solution is presented for this flow, driven by a solid boundary deforming with dimensionless vertical velocity $V_{b}(x,t)={\it\epsilon}(1+\cos x)\,f(t)$, where the amplitude ${\it\epsilon}$ is small relative to the wavelength and the time dependence $f(t)$ approaches 0 for large $t$. Initially, the flow is directed outwards from the crest of the deformation and slows with the slowing of the boundary motion. A domain-perturbation method is used to reveal that, when the boundary stops moving, nonlinear interactions with the free surface leave a remnant momentum directed back towards the crest, and this momentum can be a precursor to jet formation. This scenario arises in a laser-induced printing technique in which an expanding blister imparts momentum into a liquid film to form a jet. The analysis provides insight into the physics underlying the interaction between the deforming boundary and free surface, in particular, the dependence of the remnant flow on the thickness of the liquid layer and the deformation amplitude and wavelength. Numerical simulations are used to show the range of validity of the analytical results, and the domain-perturbation solution is extended to an axisymmetric domain with a Gaussian boundary deformation to compare with previous numerical simulations of blister-actuated laser-induced forward transfer.


Author(s):  
Hiranya Deka ◽  
Gautam Biswas ◽  
Amaresh Dalal

Numerical simulations are performed using coupled level-set and volume of fluid (CLSVOF) method to capture the formation and propagation of a vortex ring when a drop coalesces at the interface of a pool of same liquid and a lighter liquid resting above it. A Vortex ring is generated near the interface on coalescence of a drop. Subsequently the vortex ring propagates into the liquid pool. The propagation of a vortex ring and its dependence on the shape as well as impact velocity of the drop are investigated in this work.


2018 ◽  
Vol 844 ◽  
pp. 1084-1111 ◽  
Author(s):  
Nathan B. Speirs ◽  
Zhao Pan ◽  
Jesse Belden ◽  
Tadd T. Truscott

Water entry has been studied for over a century, but few studies have focused on multiple droplets impacting on a liquid bath sequentially. We connect multi-droplet streams, jets and solid objects with physical-based scaling arguments that emphasize the intrinsically similar cavities. In particular, the cavities created by the initial impact of both droplet streams and jets on an initially quiescent liquid pool exhibit the same types of cavity seal as hydrophobic spheres at low Bond number, some of which were previously unseen for jets and droplet streams. Low-frequency droplet streams exhibit an additional three new cavity seal types unseen for jets or solid spheres that can be predicted with a new non-dimensional frequency. The cavity depth and cavity velocity for both droplet and jet impact are rationalized by an energy scaling analysis and the Bernoulli equation.


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