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Explicit series solution for the Glauert-jet problem by means of the homotopy analysis method

✍ Scribed by Yann Bouremel

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
172 KB
Volume
12
Category
Article
ISSN
1007-5704

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✦ Synopsis

In this article, the self-similar wall jet over an impermeable, resting plane surface (the Glauert-jet) is considered. Through an analytic technique to solve nonlinear problems namely the homotopy analysis method, we obtain an explicit series solution for the Glauert-jet problem. This series solution converges efficiently to the closed-form solution found by Glauert in the whole region 0 6 n < +1. In the frame of the homotopy analysis method, it is shown that the convergence region of the explicit series solution may be adjusted to obtain more accurate results.

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