Abstract
In the articles published on the Blasius problem [1–3] the solutions are investigated either by some numerical method or by joining the series solution for small values of the argument with the asymptotic expansion for large values. In the present article we give a new method of representing the solutions for different boundary-value problems associated with the Blasius equation. The properties of the obtained solution are analyzed.
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L. G. Loitsyanskii, Laminar Boundary Layer [in Russian], Fizmatgiz, Moscow (1962).
G. G. Chernyi, “Laminar motion of gas and liquid in a boundary layer with a discontinuity surface,” Izv. Akad. Nauk Otd. Tekh. Nauk, No. 12 (1954).
P. Gasal, “Sur l'ensemble des solutions de l'Équation de la couche limite,” J. Mecanique,11, No. 3 (1972).
G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill (1967).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 143–146, May–June, 1975.
The author expresses deep gratitude to Yu. A. Dem'yanov for discussion of the work and for valuable comments.
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Pokrovskii, A.N. Method of representation of solution of the Blasius equation and its applications. Fluid Dyn 10, 482–485 (1975). https://doi.org/10.1007/BF01015276
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DOI: https://doi.org/10.1007/BF01015276