“…As highlighted by Païdoussis [8], the nonlinear problems of pipes conveying fluids cannot be resolved analytically, but recourse needs to be taken to adopt specialized analytical methods like perturbation techniques, numerical time difference methods, or a combined analytical-numerical method. The direct Lagrangian discretization method (Galerkin method) to convert the partial differential equations (PDEs) to ordinary differential equations (ODEs) and then resolve the resulting ODEs using numerical techniques has been adopted by some publications, namely, Modarres and Païdoussis [9], Wang et al [10], Sinir [11], Ritto et al [12], Chen et al [13], Tian-Zhi et al [14]. The usage of analytical methods like perturbation techniques is highly common with researchers working on nonlinear problems, such as Nayfeh [15], Nayfeh [16], Kesimli et al [17], and Oz and Boyaci [18], where the solutions were sought using an asymptotic expansion or by perturbing the original set of equations in terms of a small parameter which is either present in the equation or introduced artificially.…”