Abstract This paper examines the linear stability of the interface formed by a viscoelastic liquid and a viscous gas. The model obeys the Kelvin-Helmholtz instability. The significant influence of heat and mass transfer at the interface has been included. The analysis was performed for the viscoelastic liquid satisfying Oldroyd-B model using potential flow theory. Through linear stability analysis, a dispersion equation in terms of the growth rate parameter is obtained. The stability criteria are to be analyzed on a theoretical basis and to be illustrated on a graphic basis. The effects of various physical parameters on the stability of the liquid/gas interface are investigated. The final results reveal that on increasing heat transfer, the range of stable wave number decreases while the maximum value of growth rate increases.

中文翻译：

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具有传热传质的粘弹性液体-粘性气体界面的 Kelvin-Helmholtz 不稳定性

摘要 本文研究了粘弹性液体和粘性气体形成的界面的线性稳定性。该模型服从 Kelvin-Helmholtz 不稳定性。已包括界面处传热和传质的显着影响。使用势流理论对满足Oldroyd-B模型的粘弹性液体进行了分析。通过线性稳定性分析，得到了关于生长速率参数的色散方程。稳定性标准应在理论基础上进行分析，并在图形基础上加以说明。研究了各种物理参数对液/气界面稳定性的影响。最终结果表明，随着传热的增加，稳定波数的范围减小，而增长率的最大值增加。