Journal of Theoretical
and Applied Mechanics

56, 3, pp. 675-686, Warsaw 2018
DOI: 10.15632/jtam-pl.56.3.675

Smoothed particle hydrodynamics modelling of the Rayleigh-Plateau instability

Michał Olejnik, Kamil Szewc
The break-up of liquid ligaments and formation of droplets are elementary phenomena in
multiphase flows which are of high importance in industrial and medical applications. From
the numerical point of view, they require proper interface and surface tension treatment.
In the present work, we apply Smoothed Particle Hydrodynamics, a meshless approach, to
simulate the break-up of a liquid cylinder inside the gaseous phase, i.e. the Rayleigh-Plateau
instability. Results obtained in 3D show that even a relatively coarse resolution allows one
to predict correctly the size of droplets formed in the process. The detailed analysis of the
break-up time in 2D setup implies that a certain level of spatial discretisation needs to be
reached to determine this moment precisely.
Keywords: meshless methods, SPH, capillary jet break-up, interfacial flows


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