Abstract

In this article, we examine the response of transport of mass and heat at the viscous gas–viscoelastic liquid interface, while the instability of the interface is defined by capillary instability. The fluids are enclosed in an annular region bounded by two rigid cylinders. The Oldroyd B-type viscoelastic fluid is considered and the outer cylinder is swirling with a uniform angular velocity. The governing mathematical equations are work out through the viscoelastic-viscous potential flow theory. The well-known normal mode procedure is utilized and a critical value of wave-number is calculated to determine the stability/instability norm for the interface. Various plots showing the effect of swirling, heat/mass transfer, etc. have been made and illustrated physically. The addition of swirl prevents the development of disturbance waves. We achieve that the transport of mass/heat at the interface reduces the amplitudes of perturbations.

Graphic abstract

中文翻译：

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传热和传质对涡旋粘弹性液膜不稳定性的影响

摘要

在本文中，我们检查了粘性气体-粘弹性液体界面处质量和热量的传输响应，而界面的不稳定性由毛细管不稳定性定义。流体被封闭在以两个刚性圆柱为边界的环形区域中。考虑了Oldroyd B型粘弹性流体，外圆柱体以均匀的角速度旋转。主导的数学方程是通过粘弹性-粘滞势流理论得出的。利用众所周知的正常模式过程，并计算波数的临界值以确定界面的稳定性/不稳定性范数。已经绘制并物理示出了示出涡旋，热/质量传递等的效果的各种曲线图。涡流的增加可防止干扰波的产生。

图形摘要