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Solution of Inverse Mixed Boundary Value Problem of Aerohydrodynamics for Cascade of Profiles without Additional Restrictions

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Abstract

We consider an inverse boundary-value problem for a aerohydrodynamical cascade of profiles streamlined by a potential flow of an incompressible inviscid fluid. It is required to find the shape of the profile of the cascade, by a given velocity distribution as a function of the arc abscissa, and determine the period of the cascade.

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REFERENCES

  1. Sedov, L.I. Two-Dimensional Problems in Hydrodynamics and Aerodynamics (John Wiley & Sons, New York – London – Sidney, 1965).

  2. Kochin, N.K., Kibel, I.A., Roze, N.V. Theoretical Hydromechanics (Wiley Interscience, 1964).

  3. Elizarov, A.M., Il'inskiy, N.B., Potashev, A.V. Mathematical Methods of Airfoils Design (Inverse Boundary-Value Problems of Aerohydrodynamics) (Wiley-VCH Verlag, Berlin, 1997).

  4. Gakhov, F.D. Boundary Value Problems (Pergamon Press, Oxford – New York, 1966).

  5. Lavrentiev, M.A., Shabat, B.V. Methods of the function theory of complex variable (Nauka, Moscow, 1973) [in Russian].

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Authors and Affiliations

  1. Kazan State Architecture and Building University, 1 Zelenaya str., 420043, Kazan, Russia

    R. B. Salimov

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  1. R. B. Salimov
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Correspondence to R. B. Salimov.

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Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 8, pp. 74–80.

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Salimov, R.B. Solution of Inverse Mixed Boundary Value Problem of Aerohydrodynamics for Cascade of Profiles without Additional Restrictions. Russ Math. 64, 64–69 (2020). https://doi.org/10.3103/S1066369X20080083

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  • DOI: https://doi.org/10.3103/S1066369X20080083

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