Abstract
Recently significant patents have been devoted to plane wall jet systems. In this paper, the self-similar wall jet over an impermeable, resting plane surface known as the Glauert-jet is analyzed. The DTM and Pade Approximant were used to find analytical solution. In order to verify the accuracy of the proposed method, the resultant data were then compared with previously obtained results using the homotopy analysis method (HAM), method of weighted residuals method (MWR), variational iteration method (VIM) and exact solution. It can be concluded that the DTM-Pade can achieve more reliable results in calculating the solution of such problems.
Keywords: Boundary layer, differential transformation method (DTM), exact solution, exponentially decaying wall jet, Glauert- jet problem, non-linear differential equation, Pade Approximant
Recent Patents on Mechanical Engineering
Title:Application of Differential Transformation Method and Pade Approximant for the Glauert-Jet Problem
Volume: 5 Issue: 2
Author(s): Mohsen Torabi, Hessameddin Yaghoobi and Abdolhosein Fereidoon
Affiliation:
Keywords: Boundary layer, differential transformation method (DTM), exact solution, exponentially decaying wall jet, Glauert- jet problem, non-linear differential equation, Pade Approximant
Abstract: Recently significant patents have been devoted to plane wall jet systems. In this paper, the self-similar wall jet over an impermeable, resting plane surface known as the Glauert-jet is analyzed. The DTM and Pade Approximant were used to find analytical solution. In order to verify the accuracy of the proposed method, the resultant data were then compared with previously obtained results using the homotopy analysis method (HAM), method of weighted residuals method (MWR), variational iteration method (VIM) and exact solution. It can be concluded that the DTM-Pade can achieve more reliable results in calculating the solution of such problems.
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Cite this article as:
Torabi Mohsen, Yaghoobi Hessameddin and Fereidoon Abdolhosein, Application of Differential Transformation Method and Pade Approximant for the Glauert-Jet Problem, Recent Patents on Mechanical Engineering 2012; 5 (2) . https://dx.doi.org/10.2174/2212797611205020150
DOI https://dx.doi.org/10.2174/2212797611205020150 |
Print ISSN 2212-7976 |
Publisher Name Bentham Science Publisher |
Online ISSN 1874-477X |
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