Linear stability analysis of a three-dimensional viscoelastic liquid jet surrounded by a swirling air stream

Yang, Lijun; Tong, Ming-Xi; Fu, Qing-fei

doi:10.1016/j.jnnfm.2012.10.011

Cited by 40 publications

(12 citation statements)

References 38 publications

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“…The experimental results show that the asymmetric mode disturbances can dominate the breakup of the power-law liquid jets under certain conditions. This result is contrary to previous studies [16,17,19], in which it was proposed that the symmetric mode disturbance is always the most unstable, and dominates the breakup of the jets. In the next discussion, theoretical analyses are performed to characterize the symmetry mode disturbance and the asymmetric mode disturbances simultaneously.…”

Section: Near-field Characteristics Of Power-law Fluid Jetscontrasting

confidence: 99%

“…This also illustrates why the asymmetric mode disturbances are observed easily in the above experiment with high injection pressures. Similar results were reported by Li [9], Yang et al [16], and Ruo et al [25]. Therefore, in high-speed jets, the gas-liquid interface will be more irregular, and the liquid breakup process will become more complex.…”

Section: Effect Of Liquid Weber Numbersupporting

confidence: 82%

“…Thompson and Rothstein [14] studied the instability of annular viscoelastic fluid jet. Yang et al [15,16] investigated the three-dimensional instability of viscoelastic liquid jets in a swirling airflow and the instability of viscoelastic liquid sheet of gas flow with unequal velocities on two sides.…”

Section: Introductionmentioning

confidence: 99%

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Investigation on Asymmetric Instability of Cylindrical Power-Law Liquid Jets

et al. 2019

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An investigation has been performed to reveal the breakup mechanism of three-dimensional power-law cylindrical jets with different mode disturbances. It is observed experimentally that the asymmetric mode disturbances could prevail over the counterpart of symmetric mode under special conditions. The dispersion equation characterizing the instability of three-dimensional cylindrical jets of power-law fluids is deduced. The effects of the Weber number, generalized Reynolds number, power-law exponent, and gas–liquid density ratio on the jet instability are studied in detail. It is found that the maximum growth rates of asymmetric mode disturbances are usually larger than those of symmetric mode disturbances under high Weber numbers and low generalized Reynolds numbers, which implies that the former are more likely to be responsible for the breakup of power-law fluids. Meanwhile, the large gas–liquid interaction could trigger more short, unstable waves. Interestingly, with the increase of jet velocity, the interaction between liquid and gas phases plays an increasingly leading role on the breakup of power-law cylindrical jets, whereas the viscous force and the power-law exponent have less significant impacts. Theoretical analysis results give a better comprehensive understanding for the power-law jets.

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Section: Near-field Characteristics Of Power-law Fluid Jetscontrasting

confidence: 99%

Section: Effect Of Liquid Weber Numbersupporting

confidence: 82%

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Investigation on Asymmetric Instability of Cylindrical Power-Law Liquid Jets

et al. 2019

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“…Joseph et al [17] took the high relative velocity between liquid and the acceleration of droplets into consideration and obtained the dispersion relation based on R-T instability. Yang et al [18] used linear stability analysis to investigate the instability of a three-dimensional viscoelastic liquid jet surrounded by a swirling air stream.…”

Section: Introductionmentioning

confidence: 99%

Numerical Models for Viscoelastic Liquid Atomization Spray

2016

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Atomization spray of non-Newtonian liquid plays a pivotal role in various engineering applications, especially for the energy utilization. To operate spray systems efficiently and well understand the effects of liquid rheological properties on the whole spray process, a comprehensive model using Euler-Lagrangian approaches was established to simulate the evolution of the atomization spray for viscoelastic liquid. Based on the Oldroyd model, the viscoelastic linear dispersion relation was introduced into the primary atomization; an extended viscoelastic version of Taylor analogy breakup (TAB) model was proposed; and the coalescence criteria was modified by rheological parameters, such as the relaxation time, the retardation time and the zero shear viscosity. The predicted results are validated with experimental data varying air-liquid mass flow ratio (ALR). Then, numerical calculations are conducted to investigate the characteristics of viscoelastic liquid atomization process. Results showed that the evolutionary trend of droplet mean diameter, Weber number and Ohnesorge number of viscoelastic liquids along with axial direction were qualitatively similar to that of Newtonian liquid. However, the mean size of polymer solution increased more gently than that of water at the downstream of the spray, which was beneficial to stable control of the desirable size in the applications. As concerned the effects of liquid physical properties, the surface tension played an important role in the primary atomization, which indicated the benefit of selecting the solvents with lower surface tension for finer atomization effects, while, for the evolution of atomization spray, larger relaxation time and zero shear viscosity increased droplet Sauter mean diameter (SMD) significantly. The zero shear viscosity was effective throughout the jet region, while the effect of relaxation time became weaken at the downstream of the spray field.

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“…They concluded that the maximum growth rate and dominant wave number increased with the increase in the relative velocity. Many researchers [17][18][19] investigated that the instability of the liquid sheet under the assumption of a velocity profile, and did not take the surrounding ambient gas viscosity into account.…”

Section: Introductionmentioning

confidence: 99%

Effect of velocity profile on instability of the viscoelastic liquid sheet

Duan

Chen

Liu

2014

Proceedings of the Institution of Mechanical Engineers, Part C:

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A linear analysis method has been used to investigate the instability behavior of the viscoelastic liquid sheets moving in the surrounding ambient gas. The gas boundary layer thickness and the liquid sheet velocity profile were taken into account. The effects of gas and liquid viscosity on the growth rate were revealed. The governing equations were obtained through analysis of the liquid and gas domain and solved using the spectral method. The viscoelastic rheological parameters and some flow parameters have been tested to investigate their influences on the instability of the viscoelastic liquid sheets. The results reveal that the disturbances grow faster for the viscoelastic liquid sheet than Newtonian one with identical viscosity. Moreover, the increases of Weber number, elasticity number, gas Reynolds number, and momentum flux ratio can accelerate the breakup of the viscoelastic liquid sheet. However, the increases of time constant ratio, boundary layer thickness, and liquid Reynolds number have the opposite effects.

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Linear stability analysis of a three-dimensional viscoelastic liquid jet surrounded by a swirling air stream

Cited by 40 publications

References 38 publications

Investigation on Asymmetric Instability of Cylindrical Power-Law Liquid Jets

Investigation on Asymmetric Instability of Cylindrical Power-Law Liquid Jets

Numerical Models for Viscoelastic Liquid Atomization Spray

Effect of velocity profile on instability of the viscoelastic liquid sheet

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