Study on Instability of Viscoelastic Liquid Jet in Homogeneous Wind Field

doi:10.19596/j.cnki.1001-246x.8835

Abstract

Abstract:

The present study aims to establish a mathematical model for the stability analysis of a viscous compressible liquid jet in a homogeneous wind field, utilizing linear stability theory. Furthermore, the validity of the proposed mathematical model and its solution method are subsequently verified. The findings indicate that the homogeneous wind field exerts an equal influence on both the axisymmetric disturbance and the non-axisymmetric disturbance, with the latter being the predominant form of disturbance. The compressibility of the gas phase has a detrimental effect on the stability of jet flow, while the compressibility of the liquid phase has negligible impact on the stability of jet flow. The impact of a homogeneous wind field on jet stability is primarily manifested in two key dimensions. The presence of a tailwind field has the potential to enhance the stability of jets and impede the likelihood of splitting and atomization. The presence of the deadwind field has the potential to diminish the stability of the jet flow and facilitate the occurrence of splitting and atomization.

Key words: compressible, jet, stability, homogeneous wind field, dispersion equation

Tengfei ZHAO, Hua ZHANG. Study on Instability of Viscoelastic Liquid Jet in Homogeneous Wind Field[J]. Chinese Journal of Computational Physics, 2025, 42(1): 1-9.

Figures/Tables 5

Fig.1 Liquid jet diagram

Fig.2 Effect of wind field intensity on axisymmetric and non-axisymmetric disturbances(Mal=0.15, Mag=0.3, Re=10 000, Q=0.001 18, We=250 000) (a) m=0;(b) m=1

Fig.3 Variation of the dominant growth rate with wind speed under different angular modulus(Mal=0.15, Mag=0.3, Re=10 000, Q=0.001 18, We=250 000)

Fig.4 Effect of fluid compressibility on jet stability(We=250 000, Q=0.001 18, Re=10 000, Ug=0.1, m=1) (a) disturbance growth rate variation diagram; (b) maximum disturbance growth rate variation diagram

Fig.5 Effect of uniform wind field on jet stability(Mal=0.15, Mag=0.65, Q=0.001 18, Re=10 000, We=250 000, m=1) (a) disturbance growth rate variation diagram; (b) maximum disturbance growth rate variation diagram

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