On the viscous steady flow around a circular cylinder
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedad Mexicana de Física A.C.
2005
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| _version_ | 1876431602577309696 |
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| author | F. Mandujano |
| author_facet | F. Mandujano |
| contents | On the viscous steady flow around a circular cylinder F. Mandujano R. Peralta-Fabi Física, Astronomía y Matemáticas Stokes eqn´s drag coefficient stationary Navier slow viscous flow series truncation A series truncation method is proposed to obtain approximate solutions to the flow past a circular cylinder. This procedure is based on achange 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 boundaryconditions on the cylinder´s surface are satisfied in trivially way, and the conditions at infinity lead to a system of two non linear ordinarydifferential equations. These are solved using Fourier series in the angular variable and, for the sake of argument, in a power series in Re.Results on the convergence of the series, with varying order of truncation, and comparison with earlier results are discussed. 2005 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57063714 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.1 Vol.51 |
| format | Artículo científico |
| id | redalyc_57063714 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | On the viscous steady flow around a circular cylinder F. Mandujano Física, Astronomía y Matemáticas Stokes eqn´s drag coefficient stationary Navier slow viscous flow series truncation On the viscous steady flow around a circular cylinder F. Mandujano R. Peralta-Fabi Física, Astronomía y Matemáticas Stokes eqn´s drag coefficient stationary Navier slow viscous flow series truncation A series truncation method is proposed to obtain approximate solutions to the flow past a circular cylinder. This procedure is based on achange 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 boundaryconditions on the cylinder´s surface are satisfied in trivially way, and the conditions at infinity lead to a system of two non linear ordinarydifferential equations. These are solved using Fourier series in the angular variable and, for the sake of argument, in a power series in Re.Results on the convergence of the series, with varying order of truncation, and comparison with earlier results are discussed. 2005 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57063714 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.1 Vol.51 |
| title | On the viscous steady flow around a circular cylinder |
| topic | Física, Astronomía y Matemáticas Stokes eqn´s drag coefficient stationary Navier slow viscous flow series truncation |
| url | https://www.redalyc.org/articulo.oa?id=57063714 |