عنوان انگلیسی مقاله:
Temporal analysis of a power-law liquid sheet in the presence of acoustic oscillations
ترجمه فارسی عنوان مقاله:
تجزیه و تحلیل زمانی ورق مایع دارای قدرت قانون در حضور نوسانات صوتی
Sciencedirect - Elsevier - Applied Mathematical Modelling, 82 (2020) 636-648: doi:10:1016/j:apm:2020:01:008
Xin-Tao Wang, Zhi Ning ∗, Ming Lü∗
The instability of a non-Newtonian liquid sheet in the presence of acoustic oscillations is investigated theoretically. The power-law model is used to describe the viscosity of the non-Newtonian liquid. The corresponding dispersion relation is obtained by linear analy- sis. The effects of the mean velocity of the gas, the oscillation amplitude, the oscillation frequency, and the gas density on the instability of the power-law liquid sheet are studied. The results show that the shear-thickening liquid sheet is more unstable than Newtonian and shear-thinning liquid sheets when the effects of acoustic oscillations are considered. In particular, a second unstable region appears on the shear-thickening liquid sheet at a low oscillation frequency. Especially, for the shear-thinning liquid sheet, there is a second unstable region in the dispersion curve at a high mean gas velocity. A third unstable region appears on the shear-thinning liquid sheet at a high gas density in the presence of acoustic oscillations. The unstable range of the Newtonian liquid is always the widest among these liquids.
Keywords: Parametric instability | Kelvin-Helmholtz instability | Power-law liquid sheet