The Solution of the Fractional Form of Unsteady Axisymmetric Squeezing Fluid Flow with Slip and No-Slip Boundaries by Analytical Techniques | ||
| Delta Journal of Science | ||
| Article 2, Volume 40, Issue 1, June 2019, Pages 10-23 PDF (1.39 M) | ||
| Document Type: Research and Reference | ||
| DOI: 10.21608/djs.2019.138918 | ||
| Authors | ||
| M. A. Abdeen* ; I. A. Lairje | ||
| Department of Mathematics, Faculty of Science, Tanta University | ||
| Abstract | ||
| In this article, two powerful techniques called variational iteration and Adomian decomposition methods are proposed to solve analytically the fractional form of the fourth order nonlinear ordinary differential equation which reduced by similarity transformation from the basic system of nonlinear partial differential equations of motion of an unsteady axisymmetric flow of nonconducting, Newtonian fluid squeezed between two circular plates with slip and no-slip boundaries. The analysis of convergence of the proposed methods is discussed through the absolute residual errors for various Reynolds number and various values of the fractional order. Comparisons between the results obtained by the proposed methods with those obtained by the new iterative and Picard methods are made which confirm that the proposed methods are powerful methods and therefore suitable for solving this kind of problems. | ||
| Keywords | ||
| Squeezing flow; Axisymmetric flow; Variational iteration method; Adomian decomposition method; New iterative method; Picard method and Fractional Calculus | ||
| References | ||
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