Application of Differential Transformation Method and Pade Approximant for the Glauert-Jet Problem

Author(s): Mohsen Torabi, Hessameddin Yaghoobi, Abdolhosein Fereidoon.

Journal Name:Recent Patents on Mechanical Engineering

Volume 5 , Issue 2 , 2012

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

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Article Details

VOLUME: 5
ISSUE: 2
Year: 2012
Page: [150 - 155]
Pages: 6
DOI: 10.2174/2212797611205020150
Price: $100