Abstract
The theory of the so-called Rayleigh–Plateau instability of fluid jets has been widely studied and can be used to predict the breakup length of liquid jets. Recently, in the work of Rosello et al. [J. Fluids Eng. 140(3), 031202 (2018)], the linear theory was enhanced to accurately predict the breakup length of continuous ink jets of Newtonian fluids by accounting for the influence of the nozzle geometry. In the present work, the influence of a shear-thinning behavior is addressed for both the breakup morphologies and breakup lengths in a linear regime. A comparison with the experimental data shows an excellent agreement extending the model of Rosello et al. to a non-Newtonian shear-thinning fluid.
Highlights
IntroductionOne possible way to predict the breakup length for a given Newtonian fluid lies in the analytical approach derived from a onedimensional temporal analysis given by Lee and Pimbley and Lee who expressed the breakup length as a function of the initial perturbation velocity
Accurate determination of the breakup length for jets of fluid is of major importance in many industrial fields, such as Continuous Ink Jet (CIJ) printing.One possible way to predict the breakup length for a given Newtonian fluid lies in the analytical approach derived from a onedimensional temporal analysis given by Lee1 and Pimbley and Lee2 who expressed the breakup length as a function of the initial perturbation velocity
Leib and Goldstein predicted in Ref. 3 that the inlet velocity profile should be of great influence over the breakup length, with the shortest breakup length observed for a flat velocity profile as the inlet condition
Summary
One possible way to predict the breakup length for a given Newtonian fluid lies in the analytical approach derived from a onedimensional temporal analysis given by Lee and Pimbley and Lee who expressed the breakup length as a function of the initial perturbation velocity. This approach is restricted to a periodical axial velocity as the inlet condition, which is not adapted to industrial jets. An alternative route to the analytical approach from Ref. 2 or 5 lies in the numerical modeling of the whole CIJ system, but that strategy faces a major difficulty as the breakup length is highly dependent on numerical parameters, such as mesh, and numerical and discretization methods.
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