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Interaction between Two Oppositely Swirled Submerged Jets

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Abstract

The problem of the interaction between two oppositely swirled jets of viscous incompressible fluid issuing from parallel tubes into the submerged space is considered. The scenario of the confluence of the two jets into a single jet is determined on the basis of a numerical solution. It is shown that far from the sources the flow is described by the self-similar axisymmetric Landau solution for a single swirled jet. The longitudinal vorticity field far from the source is also self-similar, with a complex decay rate. The asymptotic structure of the far field of the jet is discussed.

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References

  1. L. D. Landau, “A new exact solution of the Navier—Stokes equations,” Dokl. Akad. Nauk SSSR 43(7), 299–301 (1944).

    MathSciNet  Google Scholar 

  2. Yu. B. Rumer, “The problem of a submerged jet,” Prikl. Mat. Mekh. 16(2), 255–256 (1952).

    MathSciNet  MATH  Google Scholar 

  3. M. A. Gol’dshtik and N. I. Yavorskii, “On the submerged jets,” Prikl. Mat. Mekh. 50(4), 573–583 (1986).

    Google Scholar 

  4. H. Schlichting, “Laminare strahlausbreitung,” Z. Angew. Math. Mech. 13(4), 260–263 (1933).

    Article  MATH  Google Scholar 

  5. L. G. Loitsyanskii, “Propagation of a swirled jet in an infinite space filled with the same fluid,” Prikl. Mat. Mekh. 17(1), 3–16 (1953).

    MathSciNet  Google Scholar 

  6. M. S. Tsukker, “Swirled jet propagating in a space filled with the same fluid,” Prikl. Mat. Mekh. 19(4), 500–503 (1955).

    Google Scholar 

  7. N. I. Yavorskii, “Nonaxisymmetric submerged jets,” Prikl. Mat. Mekh. 52(5), 760–772 (1988).

    MathSciNet  Google Scholar 

  8. R. I. Mullyadzhanov and N. I. Yavorskii, “Solution of the problem of the outflow of a nonaxisymmetric swirled submerged jet”, Zh. Prikl. Mat. Tekhn. Fiz. 54(2), 46–51 (2013).

    Google Scholar 

  9. A. M. Gaifullin and A. V. Zubtsov, “Diffusion of two vortices,” Fluid Dynamics 39(1), 112–127 (2004).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. N. I. Yavorskii, Theory of Submerged Jets and Wakes (Novosibirsk, Nauka, 1998) [in Russian].

    Google Scholar 

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Acknowledgments

The authors wish to thank A.V. Zoubtsov for the discussion of the results of the study.

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Correspondence to A. M. Gaifullin or V. V. Zhvick.

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Russian Text © The Author(s), 2019, published in Izvestiya RAN. Mekhanika Zhidkosti i Gaza, 2019, No. 3, pp. 48–57.

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Gaifullin, A.M., Zhvick, V.V. Interaction between Two Oppositely Swirled Submerged Jets. Fluid Dyn 54, 339–348 (2019). https://doi.org/10.1134/S001546281902006X

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  • DOI: https://doi.org/10.1134/S001546281902006X

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