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Circulation flow around airfoils by a steady plane-parallel flow of a heavy liquid of finite depth with a free surface

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Abstract

Steady problems of a circulation flow around bodies by a flow of a heavy liquid bounded by a free surface and a straight bottom are solved. The method of complex boundary elements is used, which is based on the integral Cauchy formula written for a complex-conjugate velocity. Results of numerical calculations of the flow around a circular contour and the Joukowski airfoil are presented. Shapes of the free surface and the most important hydrodynamic characteristics of the process (velocity circulation over the airfoil and the lifting force and its moment relative to the sharp edge of the airfoil) are given.

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References

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

    Google Scholar 

  2. D. N. Gorelov, “Integral equations of the problem of the flow around an airfoil,”Izv. Ross. Akad. Nauk. Mekh. Zhidk. Gaza, No. 4, 173–177 (1992).

    MATH  ADS  Google Scholar 

  3. A. G. Terent'ev and T. V. Kartuzova, “Numerical investigation of a system of airfoils by the method of boundary elements,” in:Actual Problems of Mathematics and Mechanics (collected scientific papers) [in Russian], Izd. Chuvash. Univ., Cheboksary (1995), pp. 108–116.

    Google Scholar 

  4. V. V. Golubev,Theory of Aircraft Wings in a Plane-Parallel Flow [in Russian], GONTI, Moscow (1938).

    Google Scholar 

  5. N. N. Yas'ko, “Numerical solution of a nonlinear problem of motion of a flat airfoil over the free surface of a perfect incompressible liquid,”Izv. Ross. Akad. Nauk. Mekh. Zhidk. Gaza, No. 4, 100–107 (1995).

    MATH  Google Scholar 

  6. M. Mokry, “Complex variable boundary element method for external potential flows,”AIAA J.,127, 1–11 (1990).

    Google Scholar 

  7. T. V. Hromadka and C. Lai,The Complex Variable Boundary Element Method in Engineering Analysis, Springer-Verlag (1987).

  8. L. G. Guzevskii, “Flow around obstacles by a heavy liquid flow of finite depth,” in:Dynamics of Continuous Media with Interfaces (collected scientific papers) [in Russian], Izd. Chuvash. Univ., Cheboksary (1982), pp. 61–69.

    Google Scholar 

  9. K. E. Afanas'ev and S. V. Stukolov, “On the existence of three solutions for a supercritical steady flow of a heavy liquid over obstructions,”Prikl. Mekh. Tekh. Fiz.,40, No. 1, 27–35 (1999).

    MATH  Google Scholar 

  10. S. V. Vallander,Lectures in Hydroaeromechanics [in Russian], Izd. Leningrad. Univ., Leningrad (1978).

    Google Scholar 

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Authors
  1. K. E. Afanas'ev
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  2. S. V. Stukolov
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Additional information

Kemerovo State University, Kemerovo 650043. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 41, No. 3, pp. 101–110, May–June, 2000.

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Afanas'ev, K.E., Stukolov, S.V. Circulation flow around airfoils by a steady plane-parallel flow of a heavy liquid of finite depth with a free surface. J Appl Mech Tech Phys 41, 470–478 (2000). https://doi.org/10.1007/BF02465298

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  • DOI: https://doi.org/10.1007/BF02465298

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