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arXiv · 1212.1706

A Semi Analytical Analysis of a Free Convection Boundary Layer Flow Over a Vertical Plate

Haldun Alpaslan Peker·Galip Oturanc
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Abstract

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.

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Haldun Alpaslan Peker, Galip Oturanc. 2012-12-07. A Semi Analytical Analysis of a Free Convection Boundary Layer Flow Over a Vertical Plate. https://arxiv.org/abs/1212.1706

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