A Semi Analytical Analysis of a Free Convection Boundary Layer Flow Over a Vertical Plate
Abstract
The aim of this study is to present a reliable combination of the differential transformation method (DTM) and Padé 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 Padé 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-Padé 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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2012
- DOI:
- 10.48550/arXiv.1212.1706
- arXiv:
- arXiv:1212.1706
- Bibcode:
- 2012arXiv1212.1706A
- Keywords:
-
- Mathematics - Numerical Analysis;
- 34A34;
- 76R10;
- 76N20;
- 76N05;
- 80A20;
- 34B15;
- 41A21;
- 74S30
- E-Print:
- 11 pages, 3 figures, 3 tables