Thermocapillary effect on the dynamics of falling self-rewetting fluid films down a heated vertical cylinder

Ma, Chicheng; Liu, Jianlin; Dai, Xianzhong; Liu, Yongqi

doi:10.1016/j.euromechflu.2021.10.004

Cited by 7 publications

(1 citation statement)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This conclusion is in agreement with case of self-rewetting films flowing down a vertical fiber ignoring the γ. [52] The curves displayed in Fig. 4 present the marginal stability curves as a function of the Marangoni number for different values of viscoelastic parameter γ.…”

Section: Linear Stability Analysismentioning

confidence: 99%

Rayleigh–Taylor instability of viscoelastic self-rewetting film flowing down a temperature-controlled inclined substrate

JIAN

2023

Chinese Phys. B

View full text Add to dashboard Cite

Rayleigh-Taylor (RT) instability of gravity-driven viscoelastic self-rewetting film flowing under an inclined substrate uniformly heated or cooled is considered. The surface tension of self-rewetting film is considered as a quadratic function of temperature. The long wave hypothesis is used to derive a nonlinear free surface evolution equation of the thin viscoelastic film. Linear stability analysis shows that for a prescribed the viscoelastic coefficient, substrate cooling products instability, while substrate heating remains stability. Furthermore, we analyze the influence of viscoelastic coefficient on RT instability. Results show that the viscoelastic coefficient reinforces the RT instability whether the substrate is heated or cooled. Moreover, we use the line method to numerically simulate the nonlinear evolution equation and systematically examine the space-time variation of the film free surface. The numerical results illustrate that increasing the viscoelastic coefficient can enhance the disturbance amplitude and wave frequency. This means that the viscoelastic coefficient makes the system unstable, which is consistent with result of the linear stability analysis. In addition, the oscillation tends to accumulate downstream of the inclined substrate when the evolution time is long enough. Finally, the variation of film thickness with related parameters for different viscoelastic coefficients is investigated.

show abstract

Section: Linear Stability Analysismentioning

confidence: 99%