Linear instability of viscoelastic planar liquid sheets in the presence of gas velocity oscillations

Jia, Bo-qi; Xie, Luo; Yang, Lijun; Fu, Qing-fei; Cui, Xiao

doi:10.1016/j.jnnfm.2019.104169

Cited by 11 publications

(10 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that the x coordinate was set as We l , which included the effect of liquid density and surface tension, so liquid viscosity was the main parameter affecting the instability. However, in earlier studies by the authors (Yang et al 2018;Jia et al 2019), the viscosity did not dramatically affect the growth rate. This may be because these studies -including the present theoretical study -did not consider the velocity distribution in the basic liquid flow.…”

Section: Influence Of Solution Concentrationmentioning

confidence: 68%

“…Moreover, the schematics of surface wave induced by classical K-H instability (when U = 0), oscillatory K-H instability (K-H unstable region of Jia et al (2019)) and parametric instability (parametric unstable region of Jia et al (2019)) are given in supplementary movies 1, 2 and 3, respectively, available at https://doi.org/10.1017/jfm. 2023.19.…”

Section: Stability Analysismentioning

confidence: 99%

“…(1) In the K-H unstable region, destabilization of the surface wave was determined by the effective aerodynamic force, as stated in early work by the authors (Jia et al 2019(Jia et al , 2020. This Weber number is considered the effective aerodynamic force.…”

Section: Growth Rate In Oscillating Gas Flowmentioning

confidence: 99%

“…The SMD exhibited almost no fluctuations at high frequencies. Using a similar experimental system, Christou et al (2021) investigated frequency and phase differences between gas velocity and the SMD; they also analysed the temporal instability of viscous and non-Newtonian planar liquid sheets in the presence of gas velocity oscillations based on the Floquet theory (Yang et al 2018;Jia et al 2019) and revealed the mechanism of the K-H and parametric unstable modes using an energy budget theory. Experimental studies are required to verify their theoretical results.…”

Section: Introductionmentioning

confidence: 99%

“…2018; Jia et al. 2019) and revealed the mechanism of the K–H and parametric unstable modes using an energy budget theory. Experimental studies are required to verify their theoretical results.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Experimental study on the oscillatory Kelvin–Helmholtz instability of a planar liquid sheet in the presence of axial oscillating gas flow

et al. 2023

Self Cite

View full text Add to dashboard Cite

The oscillatory Kelvin–Helmholtz (K–H) instability of a planar liquid sheet was experimentally investigated in the presence of an axial oscillating gas flow. An experimental system was initiated to study the oscillatory K–H instability. The surface wave growth rates were measured and compared with theoretical results obtained using the authors’ early linear method. Furthermore, in a larger parameter range experimentally studied, it is interesting that there are four different unstable modes: first disordered mode (FDM), second disordered mode (SDM), K–H harmonic unstable mode (KHH) and K–H subharmonic unstable mode (KHS). These unstable modes are determined by the oscillating amplitude, oscillating frequency and liquid inertia force. The frequencies of KHH are equal to the oscillating frequency; the frequency of KHS equals half the oscillating frequency, while the frequencies of FDM and SDM are irregular. By considering the mechanism of instability, the instability regime maps on the relative Weber number versus liquid Weber number (Werel–Wel) and the Weber number ratio versus the oscillating frequency (Werel/Wel– $\varOmega$ s2) were plotted. Among these four modes, KHS is the most unexpected: the frequency of this mode is not equal to the oscillating frequency, but the surface wave can also couple with the oscillating gas flow. Linear instability theory was applied to divide the parameter range between the different unstable modes. According to linear instability theory, K–H and parametric unstable regions both exist. However, note that all four modes (KHH, KHS, FDM and SDM) corresponded primarily to the K–H unstable region obtained from the theoretical analysis. Nevertheless, the parametric unstable mode was also observed when the oscillating frequency and amplitude were relatively low, and the liquid inertia force was relatively high. The surface wave amplitude was small but regular, and the evolution of this wave was similar to that of Faraday waves. The wave oscillating frequency was half that of the surface wave.

show abstract

Section: Influence Of Solution Concentrationmentioning

confidence: 68%

Section: Stability Analysismentioning

confidence: 99%

Section: Growth Rate In Oscillating Gas Flowmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Experimental study on the oscillatory Kelvin–Helmholtz instability of a planar liquid sheet in the presence of axial oscillating gas flow

et al. 2023

Self Cite

View full text Add to dashboard Cite

show abstract

Effect of the flame motion on azimuthal combustion instabilities

Song

Liu

et al. 2022

Aerospace Science and Technology

View full text Add to dashboard Cite

Energy budget of a viscoelastic planar liquid sheet in the presence of gas velocity oscillations

et al. 2020

View full text Add to dashboard Cite

This study investigates the energy budget of a viscoelastic planar liquid sheet in the presence of gas velocity oscillations. The energy budget is studied in different unstable regions, and the results are very different from those obtained for steady basic flow. The work done by surface tension and aerodynamic forces is periodic, leading to the growth of standing waves on liquid sheets. The positive work done by aerodynamic forces is the main cause of the instability, as for steady basic flow. However, treating the negative work of the surface tension as an increment in the surface energy is an effective means of determining the instability mechanisms. The unsteady basic flow causes the rate of change in the work done by viscosity and elasticity to vary periodically. An increase in elasticity and a decrease in deformation retardation promote the instability by increasing the work done by the gas medium, with reduced dissipation only as a secondary factor. This effect is more significant in parametric unstable regions than in the Kelvin–Helmholtz unstable region.

show abstract

Linear instability of viscoelastic planar liquid sheets in the presence of gas velocity oscillations

Cited by 11 publications

References 32 publications

Experimental study on the oscillatory Kelvin–Helmholtz instability of a planar liquid sheet in the presence of axial oscillating gas flow

Experimental study on the oscillatory Kelvin–Helmholtz instability of a planar liquid sheet in the presence of axial oscillating gas flow

Effect of the flame motion on azimuthal combustion instabilities

Energy budget of a viscoelastic planar liquid sheet in the presence of gas velocity oscillations

Contact Info

Product

Resources

About