Journal of Engineering and Applied Sciences

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An Asymptotic Solution to the Blasius Equation and Nonexistence of Periodic Orbits of the Blasius System

Javier-Antonio Trujillo, Ana-Magnolia Marin-Ramirez and Ruben-Dario Ortiz-Ortiz
Page: 3392-3395 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

In this study, we find a Blasius solution using Neumann series for big values of the independent variable and we also prove that the Blasius dynamical system on the three dimensional space does not have periodic orbits by mean of an auxiliary function and Poincare’s method of tangential curves. Also, we use finite differences method to find a numerical solution of the Blasius equation, for this porpose we write a code in MATLAB which gives values of the solution, first and second derivatives and its respective plot on the plane.

How to cite this article:

Javier-Antonio Trujillo, Ana-Magnolia Marin-Ramirez and Ruben-Dario Ortiz-Ortiz. An Asymptotic Solution to the Blasius Equation and Nonexistence of Periodic Orbits of the Blasius System.
DOI: https://doi.org/10.36478/jeasci.2018.3392.3395
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2018.3392.3395