Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Three-dimensional Oseen flow past a flat plate

Author: Dorel Homentcovschi
Journal: Quart. Appl. Math. 40 (1982), 137-149
MSC: Primary 76D99
DOI: https://doi.org/10.1090/qam/666670
MathSciNet review: 666670
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Abstract: On the basis of the Oseen approximation the three-dimensional flow of a viscous incompressible fluid past a flat plate is studied. A system of two integral equations for determining the drag and the lateral force on the plate and an integral equation for the lift are obtained. The paper gives the asymptotic form of the integral equation for the lift, for high Reynolds numbers. In the inviscid limit the integral equation of the lifting surface theory is obtained. Lifting line theory and slender wing theory in weak viscous flow are discussed. Viscosity corrections are given for some particular wings: elliptic wings of high aspect ratio and slender delta wings.

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DOI: https://doi.org/10.1090/qam/666670
Article copyright: © Copyright 1982 American Mathematical Society

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