Axisymmetric stagnation flow obliquely impinging on a circular cylinder
Laminar stagnation flow, axisymmetrically yet obliquely impinging on the generators of a circular cylinder, is formulated as an exact solution of the Navier–Stokes equations. The outer stream is composed of a rotational axial flow superposed onto irrotational radial stagnation flow normal to the cyl...
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Published in | European journal of mechanics, B, Fluids Vol. 22; no. 2; pp. 123 - 131 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Paris
Elsevier Masson SAS
01.03.2003
Elsevier |
Subjects | |
Online Access | Get full text |
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Summary: | Laminar stagnation flow, axisymmetrically yet obliquely impinging on the generators of a circular cylinder, is formulated as an exact solution of the Navier–Stokes equations. The outer stream is composed of a rotational axial flow superposed onto irrotational radial stagnation flow normal to the cylinder. The relative importance of these two flows is measured by a parameter
γ. The viscous problem is reduced to a coupled pair of ordinary differential equations governed by a Reynolds number
R introduced by Wang (1974). Two-term asymptotic formulae valid for large
R are derived for the wall shear stress and for the position and slope of streamline attachment. These results agree well with exact numerical calculations for
R>30. In checking the consistency of our solution in the planar limit
R→∞ we uncover and correct an error in the work of Dorrepaal (2000) for the position of viscous streamline attachment. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0997-7546 1873-7390 |
DOI: | 10.1016/S0997-7546(03)00019-0 |