Formation of sprays from liquid jets by a superimposed sequence of nonaxial disturbances

Abstract

A fundamental physical mechanism whereby sprays are formed is formulated. A model of nonaxial sequence of superimposed disturbances, propagating one on top of the other, is used to describe the evolution of liquid jets into sprays. It is postulated that every consecutive superimposed disturbance travels tangent to the surface that supports its propagation. Model outputs show highly nonlinear profiles of the jet surface. Fourier analysis, of the derived superimposed disturbance functions, is performed in conjunction with the basic building blocks of the classical instability theory. Starting from the first superimposed disturbance, the sum of these linear building blocks results in nonlinear intricate profiles of the jet. These profiles are shown to be the source of drops from which a spray is made.

Turned trochoidal disturbance on a liquid jet surface

“…A diverse of peripheral drops sizes may be received only by an assemblage of non-unique parametric disturbances functions. Such assemblage of non-unique parametric disturbances functions were introduced by ZIMMELS and SADIK [2] . For the present work the physical parameters that may build the disturbances assemblage are the wave numbers (k) and the parametric relations tr tr ( ) b a .…”

“…For the present work the physical parameters that may build the disturbances assemblage are the wave numbers (k) and the parametric relations tr tr ( ) b a . ZIMMELS and SADIK [2] dealt with superimposed disturbances sequence, so, the number of superimposed disturbances is actually another parameter that is relevant for building the disturbance assemblage. The present work does not deal with superimposed disturbances, so, it cannot be related to the number of superimposed disturbances as a relevant parameter for building a disturbance assemblage.…”

“…Spray model that defined peripheral drops production was proposed in Ref. [2] which was based on harmonic superimposed disturbances. The current work reveals peripheral drops creation without refined to superimposed disturbances.…”

“…This disturbance leads to the jet breakup into serial drops. ZIMMELS, et al [2] , proposed a model to show that a sequence of superimposed disturbances led to peripheral drops production. The superimposed disturbances are non-unique functions.…”

“…Only non-unique function may lead to peripheral drops production. This paper focus on a trochoidal disturbance which leads to peripheral drops production on the jet surface without the necessity for building superimposed disturbances as was suggested by ZIMMELS, et al [2] .…”