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Aerodynamic characteristics of a thin airfoil cascade in an ideal incompressible flow with separation from the leading edges

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Abstract

A new method of solving the problem of separation flow past a cascade of thin airfoils is proposed. The method is based on the model of separated flow past a single airfoil in which vortex wakes shed from the airfoil edges are modeled by vortex layers with time-averaged intensities. Under the assumption of a small deviation of the freestream angle α from the “impactless entry” angle α 0 the singular integral equation governing the flow kinematics is closed by a dynamic equation. It is shown that the separation effect on the time-averaged aerodynamic characteristics of the cascade is associated with the total pressure loss due to the flow energy expenditure on the vortex wake formation. The aerodynamic characteristics of the cascade calculated with and without account for flow separation differ by the second-order quantity ɛ = α − α 0.

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References

  1. S.M. Belotserkovskii, V.N. Kotovskii, M.I. Nisht, and R.M. Fedorov, Mathematical Modeling of Plane-Parallel Separated Flows past Bodies [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  2. N.N. Petrov, N.A. Popov, E.A. Batyaev, and V.A. Novikov, “Theory and Design of Reversible Axial Fans with Rotor Blades Turning during Motion,” Fiz.-Tekhn. Problemy Razrabotki Poleznykh Iskopaemykh No. 5, 79 (1999).

  3. V.B. Kurzin, “Applying the PerturbationMethod to the Solution of the Problem of Incompressible Separated Flow past Thin Airfoils,” Zh. Prikl. Mekh. Tekhn. Fiz. 47(3), 49 (2006).

    MATH  MathSciNet  Google Scholar 

  4. G.Yu. Stepanov, Turbomachinery Cascade Hydrodynamics [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  5. G.K. Batchelor, Introduction to Fluid Dynamics, Cambridge Univ. Press, Cambridge (1967).

    MATH  Google Scholar 

  6. L.I. Sedov, Two-Dimensional Problems in Hydrodynamics and Aerodynamics, Interscience Publ. Co., New York (1965).

    MATH  Google Scholar 

  7. I.V. Brusilovskii, Aerodynamics of Axial Fans [in Russian], Mashinostroenie, Moscow (1984).

    Google Scholar 

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Authors
  1. V. B. Kurzin
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  2. V. A. Yudin
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Additional information

Original Russian Text © V.B. Kurzin, V.A. Yudin, 2009, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2009, Vol. 44, No. 2, pp. 6–17.

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Kurzin, V.B., Yudin, V.A. Aerodynamic characteristics of a thin airfoil cascade in an ideal incompressible flow with separation from the leading edges. Fluid Dyn 44, 178–188 (2009). https://doi.org/10.1134/S0015462809020021

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  • DOI: https://doi.org/10.1134/S0015462809020021

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