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Calculation of low-viscosity flows with separation by means of Batchelor's model

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Abstract

The paper analyzes the conditions of applicability and examples of the application of Batchelor's model.

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Literature cited

  1. K. Stewartson, High Reynolds Number Flows, (Lect. Notes Math., Vol. 771) (1980), pp. 505–518.

  2. V. V. Sychev, “Steady laminar flow of a fluid past a bluff body at a high Reynolds number,” Paper at Eighth Symposium on Modern Problems of Fluid Mechanics [in Russian], Tarda, Poland (1967), p. 25.

  3. F. T. Smith, “Laminar flow of an incompressible fluid past a bluff body: the separation, reattachment, eddy properties and drag,” J. Fluid Mech.,92, 171 (1979).

    Google Scholar 

  4. V. V. Sychev, “Asymptotic theory of flows with separation,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 20 (1982).

    Google Scholar 

  5. G. K. Batchelor, “A proposal concerning laminar wakes behind bluff bodies at large Reynolds number,” J. Fluid Mech.,1, 338 (1956).

    Google Scholar 

  6. G. K. Batchelor, “On steady laminar flow with closed streamlines at large Reynolds number,” J. Fluid Mech.,1, 177 (1956).

    Google Scholar 

  7. M. A. Lavrent'ev, “Some properties of single-sheeted functions with applications to the theory of jets,” Mat. Sb.,4, 391 (1938).

    Google Scholar 

  8. A. B. Shabat, “A scheme of two-dimensional motion of a fluid in the presence of trenches on the bottom,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 68 (1962).

    Google Scholar 

  9. S. Childress, “Solutions of Euler's equations containing finite eddies,” Phys. Fluids,9, 860 (1966).

    Google Scholar 

  10. V. S. Sadovskii and N. P. Sinitsyna, “Solenoidal—irrotational flow of an ideal fluid on a plane with a recess,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 161 (1983).

    Google Scholar 

  11. V. Ya. Neiland and V. V. Sychev, “Theory of flows in steady separation regions,” Uch. Zap. TsAGI,1, 14 (1970).

    Google Scholar 

  12. V. V. Kolosov and É. G. Shifri'n, “On the problem of flow past a body with the formation of a developed steady separation region in the limit Re → ∞,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 28 (1978).

    Google Scholar 

  13. S. I. Chernyshenko, “Approximate method of determining the vorticity in the separation region for viscosity that tends to zero,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza. No. 1, 10 (1982).

    Google Scholar 

  14. V. V. Sychev, “Boundary layer separation from a flat surface,” Uch. Zap. TsAGI,9, 20 (1978).

    Google Scholar 

  15. N. N. Kalitkin, Numerical Methods [in Russian], Nauka, Moscow (1978), p. 512.

    Google Scholar 

  16. S. A. Chaplygin, “Jets in an incompressible fluid,” Tr. Otd-Niya Fiz. Nauk. Mosk. 0-Va Lyubitelei Estestvoznaniya,10, No. 1 (1899).

  17. Vik. V. Sychev, “Breakup of a two-dimensional laminar wake,” Uch. Zap. TsAGI,9, 9 (1978).

    Google Scholar 

  18. A. I. Ruban, “Laminar separation from a bend in a wall,” Uch. Zap. TsAGI,5, 44 (1974).

    Google Scholar 

  19. M. D. Van Dyke, Perturbation Methods in Fluid Mechanics, New York (1964).

  20. L. V. Gogish and G. Yu. Stepanov, Turbulent Flows with Separation [in Russian], Nauka, Moscow (1979), p. 367.

    Google Scholar 

  21. V. V. Sychev and Vik. V. Sychev, “Turbulent separation,” Zh. Vychisl. Mat. Mat. Fiz.,20, 1500 (1980).

    Google Scholar 

  22. H. Herwig, “Die Anwendung der asymptotischen Theorie auf laminare Strömungen mit endlichen Ablösegebieter,” Z. Flugwiss. Weltraumforschung,46, No. 4, 266 (1982).

    Google Scholar 

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Authors and Affiliations

  1. Moscow

    S. I. Chernyshenko

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  1. S. I. Chernyshenko
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 40–45, March–April, 1984.

I thank N. A. Slezkin and G. Yu. Stepanov for their interest in the work.

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Chernyshenko, S.I. Calculation of low-viscosity flows with separation by means of Batchelor's model. Fluid Dyn 19, 206–211 (1984). https://doi.org/10.1007/BF01091240

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