In the present article, first-order shear deformation theory (FSDT) of the shell has been employed, for the first time, in order to analyze the propagation of the flexural waves in anisotropic fluid-conveying cylindrical shells. Four various anisotropic materials are utilized and their wave propagation behavior surveyed. Viscous fluid flow has been regarded to be laminar, fully developed, Newtonian, and axially symmetric. The Navier–Stokes equation can be utilized to explore the flow velocity effect. FSDT of the shell and Hamilton’s principle have been employed in order to achieve governing equations of anisotropic fluid-conveying cylindrical shells and finally, the obtained governing equations have been solved via an analytical method. In addition, the influences of different variables such as flow velocity, radius to thickness ratio, and longitudinal and circumferential wave numbers have been investigated and indicated within the framework of a detailed set of figures.

中文翻译：

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弯曲波在各向异性流体输送圆柱壳中的传播

在本文中，首次采用壳的一阶剪切变形理论 (FSDT) 来分析弯曲波在各向异性流体输送圆柱壳中的传播。使用了四种不同的各向异性材料，并调查了它们的波传播行为。粘性流体流动被认为是层流的、完全发展的、牛顿的和轴对称的。Navier-Stokes 方程可用于探索流速效应。利用壳的FSDT和哈密顿原理得到各向异性流体输送圆柱壳的控制方程，最后用解析法求解得到的控制方程。此外，流速、半径与厚度比等不同变量的影响，