تقرير
A Semi Analytical Analysis of a Free Convection Boundary Layer Flow Over a Vertical Plate
| العنوان: | A Semi Analytical Analysis of a Free Convection Boundary Layer Flow Over a Vertical Plate |
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| المؤلفون: | Peker, Haldun Alpaslan, Oturanc, Galip |
| سنة النشر: | 2012 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, 34A34, 76R10, 76N20, 76N05, 80A20, 34B15, 41A21, 74S30 |
| الوصف: | The aim of this study is to present a reliable combination of the differential transformation method (DTM) and Pad\'e approximants to make, for the first time, a semi-analytic analysis of the problem of free convection boundary-layer flow over a vertical plate as produced by a body force about a flat plate in the direction of the generating body force. Boundary conditions in an unbounded domain, i.e. boundary condition at infinity, pose a problem in general for the numerical solution methods. Without using Pad\'e approximation, the semi-analytical solution obtained by the DTM cannot satisfy infinity boundary conditions. The obtained results are in good agreement with those provided previously by the iterative numerical method. As a result, without taking or estimating missing boundary conditions, the DTM-Pad\'e method provides a simple, non-iterative and effective way for determining the solutions of nonlinear free convection boundary layer problems possessing the boundary conditions at infinity. Comment: 11 pages, 3 figures, 3 tables |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1212.1706 |
| رقم الأكسشن: | edsarx.1212.1706 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |