2006•Journal of Fluid MechanicsRequires access

Linear analysis of three-dimensional instability of non-Newtonian liquid jets

Zhihao Liu, Zhengbai Liu

Abstract

The instability behaviour of non-Newtonian liquid jets moving in an inviscid gaseous environment is investigated theoretically for three-dimensional disturbances. The corresponding dispersion relation between the wave growth rate and the wavenumber is derived. Results for axisymmetrical non-Newtonian jets, the Newtonian jets, and the inviscid jets are recovered, and it is shown that two-dimensional disturbances are the most dangerous for the considered set of parameters.

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Key concepts: Inviscid flow, Instability, Newtonian fluid, Physics, Wavenumber, Mechanics, Dispersion relation, Non-Newtonian fluid