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Complex Theoretical and Experimental Investigations of Flow Structure Near V-Shaped Wings

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Smart Modeling for Engineering Systems (GCM50 2018)

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 133))

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Abstract

For estimating the supersonic flow near the V-shaped wings, the method and programs based on the Euler and Navier-Stokes equations were developed. The calculation results are compared with the experimental data obtained in the aerodynamic tunnel with the help of the unique optical direct-shadow method of the supersonic space gas flow visualization via the laser technology. As for the nonviscous flow, the vortex structures appear as the result of the Mach interaction of shock waves with the formation of the contact discontinuity of the certain intensity. When dealing with the viscous flow, the vortex structure appearance is based on the viscous layer formation near the surface of the object under the influence of the pressure fall or the pressure gradient in the external flow field. The comparison of the calculation results and experimental data revealed the vortex structures with the nonviscous and viscous origin. The chapter contains the examples of the calculations based on different programs to show the both possibility and impossibility to get the right solution using different mathematical models of the flow.

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References

  1. Marsilio, R.: Vortical solution in supersonic flows. AIAA J. 31(9), 1651–1658 (1993)

    Article  Google Scholar 

  2. Gunko, YuP, Kudryavtsev, A.N., Rakximov, R.D.: Supersonic inviscid corner flows with regular and irregular shock interaction. Fluid Dyn. 39(2), 304–318 (2004)

    Article  Google Scholar 

  3. Goonko, YuP, Kudryavtsev, A.N.: Numerical modeling of free interaction of shock waves in corner flows. Thermophys. Aeromechanics 13(2), 221–237 (2006)

    Article  Google Scholar 

  4. Zubin, M.A., Maksimov, F.A., Ostapenko, N.A.: Distinctive features of the shock layer structure in conical gas flows. Fluid Dyn. 49(6), 804–818 (2014)

    Article  MathSciNet  Google Scholar 

  5. Zubin, M.A., Maksimov, F.A., Ostapenko, N.A.: Criteria of existence of nonviscous vortical structures in shock layers of supersonic conical gas flows. Dokl. Phys. 59(1), 49–55 (2014)

    Article  Google Scholar 

  6. Maksimov, F.A., Ostapenko, N.A., Zubin, M.A.: Conical flows near V-shaped wings with shock waves attached on leading edges. In: Knight D., Lipatov I., Reijasse Ph (eds.) Progress in Flight Physics, vol. 7, pp. 453–474 (2015)

    Google Scholar 

  7. Zubin, M.A., Maksimov, F.A., Ostapenko, N.A.: Conditions of the existence of vortex Ferri singularities in supersonic conical flows. Fluid Dyn. 50(1), 118–136 (2015)

    Article  Google Scholar 

  8. Zubin, M.A., Maksimov, F.A., Ostapenko, N.A.: Inviscid vortex structures in the shock layers of conical flows around V wings. Fluid Dyn. 52(3), 424–441 (2017)

    Article  MathSciNet  Google Scholar 

  9. Maksimov, F.A., Ostapenko, N.A.: V-shaped wings with an opening angle exceeding π at super- and hypersonic flow velocities. Dokl. Phys. 61(8), 412–417 (2016)

    Article  Google Scholar 

  10. Zubin, M.A., Maksimov, F.A., Ostapenko, N.A.: Flow-around modes for a rhomboid wing with a stall vortex in the shock layer. Dokl. Phys. 62(12), 533–537 (2017)

    Article  Google Scholar 

  11. Maksimov, F.A., Churakov, D.A., Shevelev, Y.D.: Development of mathematical models and numerical methods for aerodynamic design on multiprocessor computers. Comput. Math. Math. Phys. 51(2), 284–307 (2011)

    Article  MathSciNet  Google Scholar 

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Acknowledgements

The work was fulfilled with a partial financial support of the Russian Foundation for Basic Research (Project â„–18-01-00182).

Calculations were carried out on MVS-100 K at Interdepartmental supercomputer center of the Russian Academy of Sciences.

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Authors and Affiliations

  1. Institute of Computer Aided Design of the RAS, 19/18 2-ya Brestskaya ul, Moscow, 123056, Russian Federation

    Fedor A. Maksimov

  2. Institute of Mechanics, Lomonosov Moscow State University, 1 Michurinskii prosp, Moscow, 119992, Russian Federation

    Fedor A. Maksimov, Nikolai A. Ostapenko & Mikhail A. Zubin

Authors
  1. Fedor A. Maksimov
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  2. Nikolai A. Ostapenko
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  3. Mikhail A. Zubin
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Corresponding author

Correspondence to Fedor A. Maksimov .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Numerical Mathematics, Moscow Institute of Physics and Technology, Dolgoprudny, The Moscow Area, Russia

    Igor B. Petrov

  2. Department of Applied Computational Geophysics, Moscow Institute of Physics and Technology, Dolgoprudny, The Moscow Area, Russia

    Alena V. Favorskaya

  3. Institute of Informatics and Telecommunications, Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russia

    Margarita N. Favorskaya

  4. Department of Computational Physics, Moscow Institute of Physics and Technology, Dolgoprudny, The Moscow Area, Russia

    Sergey S. Simakov

  5. Faculty of Engineering and Information Technology, Centre for Artificial Intelligence, University of Technology, Sydney, NSW, Australia

    Lakhmi C. Jain

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Maksimov, F.A., Ostapenko, N.A., Zubin, M.A. (2019). Complex Theoretical and Experimental Investigations of Flow Structure Near V-Shaped Wings. In: Petrov, I., Favorskaya, A., Favorskaya, M., Simakov, S., Jain, L. (eds) Smart Modeling for Engineering Systems. GCM50 2018. Smart Innovation, Systems and Technologies, vol 133. Springer, Cham. https://doi.org/10.1007/978-3-030-06228-6_20

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