On one case of irrotational continuous flow past an algebraic contour by an infinite plane stream
Abstract
Previously, I considered a problem related to the shape of airplane wings, concerning the motion of an ideal incompressible fluid in the presence of a stationary cylindrical solid body. In that case, the contour being flowed around is assumed to be algebraic, and the fluid velocity at an infinitely large distance from the solid body is constant in magnitude and direction. At infinity, the velocity of the ideal incompressible fluid is constant in magnitude and direction. In this article, we show that the application of the aforementioned conformal transformation leads to a contour of the obstacle representing an algebraic curve of order 2m (see the article).
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References
- Messenger of Mathematics, 1928, vol. LVIII, iss. 8. Comptes rendus, 1929, vol. 188, iss. 8.
- Bulletin of the State Hydrological Institute Izvestiya Gos. Gidrol. Instituta, 1929, vol. 25. (in Russian)
- Bulletin of the State Hydrological Institute Izvestiya Gos. Gidrol. Instituta, 1928, vol. 22, iss. 25,. (in Russian)
- Bulletin of the State Hydrological Institute Izvestiya Gos. Gidrol. Instituta, 1930, vol. 22, iss. 29,. (in Russian)
- Moscow Mathematical Collection Moskovskiy matematicheskiy sbornik, 1931, vol. XXXVIII, iss. 3-4. (in Russian)