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The Quarterly Journal of Mechanics and Applied Mathematics 1955 8(4):415-421; doi:10.1093/qjmam/8.4.415
© 1955 by Oxford University Press
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A NOTE ON THE OSEEN APPROXIMATION FOR A PARABOLOID IN A UNIFORM STREAM PARALLEL TO ITS AXIS

J. WILKINSON

( University College Swansea )

It is shown in this note that the Oseen equations have a simple solution when the body is in the form of a paraboloid of elliptic section in a stream of viscous, incompressible fluid which at infinity has uniform velocity in the direction of the axis. Particular attention is given to the case in which the paraboloid degenerates into a flat plate with a parabolic leading edge, and it is suggested that the solution of the Oseen equations in this case may throw some light on the corresponding three-dimensional boundary-layer problem.


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