Abstract:In this paper, the problem of laminar, isothermal, incompressible and viscous flow in a rectangular domain bounded by two moving porous walls, which enable the fluid to enter or exit during successive expansions or contractions is solved analytically by using the homotopy analysis method (HAM). Graphical results are presented to investigate the influence of the nondimensional wall dilation rate α and permeation Reynolds number Re on the velocity, normal pressure distribution and wall shear stress. The obtained solutions, in comparison with the numerical solutions, demonstrate remarkable accuracy. The present problem for slowly expanding or contracting walls with weak permeability is a simple model for the transport of biological fluids through contracting or expanding vessels.
In the present study, a hybrid of Fourier transform and Adomian Decomposition Method (FTADM) is used for solving the homogeneous nonlinear partial differential equations of Gas dynamics. This closed form solution that is obtained from the series solution of recursive sequences is that tend to the exact solution of the problem is valid for the entire range of problems. Comparing 4282 Salman Nourazar et al. the methodology with some other known techniques shows that the present approach is effective and powerful. Moreover FTADM indicates that the computational work is much less than the computational work required for both the previous ADM and the modified ADM.
In this study, Fourier transform and Variational Iteration Method (FTVIM) for finding analytical solutions of the coupled Schrödinger-KdV equation is considered. The available analytical solutions of the coupled Schrödinger-KdV equation obtained by multiple traveling wave 4274 Reza Hoseini Abardeh et al. method are compared with FTVIM to examine the accuracy of the method. Comparing the methodology with some other known techniques shows that the present approach is effective and powerful. Moreover FTVIM indicates that the amount of computational work is much less than the computational work required for both the previous VIM and the modified VIM.
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