Stokes equation in a toy CD hovercraft
This paper deals with the study of a toy CD hovercraft used in the fluid mechanics course for undergraduate students to illustrate the lubrication theory described by the Stokes equation. An experimental characterization of the toy hovercraft (measurements of the air flow value, of the pressure in t...
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Published in | European journal of physics Vol. 32; no. 1; pp. 89 - 99 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Bristol
IOP Publishing
01.01.2011
Institute of Physics Publishing Institute of Physics |
Subjects | |
Online Access | Get full text |
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Abstract | This paper deals with the study of a toy CD hovercraft used in the fluid mechanics course for undergraduate students to illustrate the lubrication theory described by the Stokes equation. An experimental characterization of the toy hovercraft (measurements of the air flow value, of the pressure in the balloon and of the thickness of the air film under the hovercraft) allows us to evaluate a reduced Reynolds number R*. Since R* less than 1, it is possible to simplify the Navier-Stokes equation that is reduced to the Stokes equation, on the basis of the lubrication theory. The pressure gradient in the air flow is calculated, allowing us to establish the lifting force applied on the toy hovercraft. In addition, these results are applied to a larger scale hovercraft. (Contains 9 figures.) |
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AbstractList | This paper deals with the study of a toy CD hovercraft used in the fluid mechanics course for undergraduate students to illustrate the lubrication theory described by the Stokes equation. An experimental characterization of the toy hovercraft (measurements of the air flow value, of the pressure in the balloon and of the thickness of the air film under the hovercraft) allows us to evaluate a reduced Reynolds number R*. Since R* less than 1, it is possible to simplify the Navier-Stokes equation that is reduced to the Stokes equation, on the basis of the lubrication theory. The pressure gradient in the air flow is calculated, allowing us to establish the lifting force applied on the toy hovercraft. In addition, these results are applied to a larger scale hovercraft. (Contains 9 figures.) |
Audience | Higher Education |
Author | de Izarra, Grégoire de Izarra, Charles |
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Cites_doi | 10.1119/1.2342891 10.1088/0031-9120/38/6/F08 10.1119/1.10903 10.1016/0307-904X(93)90044-H |
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References | Schlichting H (1) 1968 Burchill D (5) 2003; 38 2 Huba J (4) 2009 3 6 |
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Title | Stokes equation in a toy CD hovercraft |
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