On the viscous steady flow around a circular cylinder
A series truncation method is proposed to obtain approximate Solutions to the flow past a circular cylinder. This procedure is based on a change in the radial coordinate (x), such that this new coordinate is defined in a finite interval. Solutions are truncated power series in x, so that the full Na...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2005 |
| País: | México |
| Institución: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/1492 |
| Acceso en línea: | http://hdl.handle.net/11154/1492 |
| Access Level: | acceso abierto |
| Palabra clave: | Physics, Multidisciplinary low Reynolds number stationary Navier-Stokes eqn's slow viscous flow series truncation flow past a cylinder drag coefficient |
| Sumario: | A series truncation method is proposed to obtain approximate Solutions to the flow past a circular cylinder. This procedure is based on a change in the radial coordinate (x), such that this new coordinate is defined in a finite interval. Solutions are truncated power series in x, so that the full Navier-Stokes equations are transformed into three recurrence relations with two independent coefficients. The boundary conditions on the cylinder's surface are satisfied in trivially way, and the conditions at infinity lead to a system of two non linear ordinary differential equations. These are solved using Fourier series in the angular variable and, for the sake of argument, in a power series in R-e, Results oil the convergence of the series, with varying order of truncation, and comparison with earlier results are discussed. |
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