In this article, a theoretical analysis on flow in a curvilinear horizontal coaxial cylinder with permeable walls has been proposed. Specifically, the transient impact of an oscillating pressure gradient has been taken into account. The non-linear time-dependent partial differential equation accountable for the flow has been transformed using the classical Laplace transform technique. Exact solution of the momentum equation has been obtained in Laplace domain. Due to the intricacy of the Laplace domain solutions, a numerical inversing technique which is established upon the Riemann-sum approximation (RSA) has been utilized to transform the Laplace domain solutions to time domain. Findings reveal that the outcome of suction on the porous walls and boosting the frequency of oscillation renders skin frictions on both walls of the cylinder less effective. The instability of the Dean vortices in the annular gap can be suppressed by amplifying the frequency of oscillating pressure gradient while time is maintained.

在本文中，提出了对具有渗透壁的曲线水平同轴圆柱体中流动的理论分析。具体而言，已经考虑了振荡压力梯度的瞬态影响。已使用经典的拉普拉斯变换技术对负责流动的非线性时间相关偏微分方程进行了变换。在拉普拉斯域中得到了动量方程的精确解。由于拉普拉斯域解的复杂性，基于黎曼和近似 (RSA) 建立的数值反演技术已被用于将拉普拉斯域解转换为时域。研究结果表明，在多孔壁上抽吸和提高振荡频率的结果会使气缸两壁上的皮肤摩擦效果降低。在保持时间的情况下，通过放大振荡压力梯度的频率可以抑制环形间隙中迪安涡的不稳定性。