Skip to main content
SpringerLink
Log in

Analysis of a Lubrication Fluid Flow in the Leak-Proof Pump Electric Motor

  • Aircraft Equipment
  • Published:
Russian Aeronautics Aims and scope Submit manuscript

Abstract

Steady-state flow of viscous lubrication fluid in the nonsymmetrical clearance between two out-of-line cylinders of the bearing unit in the aircraft electric motor is discussed. An analytical solution of the task based on application of the perturbation theory is presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Sommerfeld, A., Mechanik der deformierbaren Medien, Leipzig: Akademische Verlagsgesellschaft Geest & Portig K.-G., 1970.

    MATH  Google Scholar 

  2. Loitsyanskii, L.G., Mekhanika zhidkosti i gaza (Gas and Fluid Mechanics), Moscow: Drofa, 2003.

    Google Scholar 

  3. Slezkin, N.A. Dinamika vyazkoi neszhimaemoi zhidkosti (Dynamics of Viscous Incompressible Fluid), Moscow: Gos. Izd. Tekhniko-Teoreticheskoi Literatury, 1955.

    Google Scholar 

  4. Landau, L.D. and Lifshits, E.M. Teoreticheskaya fizika (Theoretical Physics), Moscow: Fizsmatlit, 2001, vol. 6, Hydrodynamics.

  5. Kazakova, A.O. and Petrov, A.G., Viscous Fluid Velocity Field between Two Cylinders which Rotate and Move Translationally, Izv. RAN. Mekhanika Zhidkosti i Gaza, 2016, vol. 51, no. 3, pp. 16–25 [Fluid Dynamics (Engl.Transl.), vol. 51, no. 3, pp. 311–320)].

    MathSciNet  MATH  Google Scholar 

  6. Aristov, S.N. and Knyazev, D.V., New Exact Solution of the Problem of Rotationally Symmetric Couette-Poiseuille Flow, Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, no. 5 (285), pp. 71–77 [J. of Applied Mechanics and Technical Physics (Engl.Transl.), 2007, vol. 48. no. 5, pp. 680–685].

    MathSciNet  Google Scholar 

  7. Knyazev, D.V. and Kolpakov, I.Yu. The Exact Solutions of the Problem of a Viscous Fluid Flow in a Cylindrical Domain with Varying Radius, Nelineinaya Dinamika, 2015, vol. 11, no. 1, pp. 89–97.

    Article  MATH  Google Scholar 

  8. Kuznetsov, V.V. and Pukhnachev, V.V., A New Family of Exact Solutions of Navier-Stokes Equations, Doklady Akademii Nauk, 2009, vol. 425, no. 1, pp. 40–44 [Doklady Physics (Engl. Transl.), 2009, vol. 54, no. 3, pp. 126–130].

    MathSciNet  MATH  Google Scholar 

  9. Kuznetsov, V.V., Liquid Film Flow in Microchannel, Sb. dokladov 11-go Vseros. s’ezda po fundamental’nym problemam teoreticheskoi i prikladnoi mekhaniki (Proc. 11th All-Russia Meeting on Fundamental Problems of Theoretical and Applied Mechanics), Kazan, 2015, pp. 2131–2133.

    Google Scholar 

  10. Alekseev, G.V. and Pukhnachev, V.V., The Axially Symmetric Flow-Through Problem for the Navier–Stokes Equations in Variables “Vorticity-Stream Function”, Doklady Akademii Nauk, 2012, vol. 445, no. 4, pp. 402–406 [Doklady Physics (Engl. Transl.), 2012, vol. 57, no. 8, pp. 301–306].

    MathSciNet  Google Scholar 

  11. Belousov, A.I., Defining of the Axial Flow Rate of Fluid at Shaft Rotation, Izv. Vuz. Av. Tekhnika. 1964, no. 3, pp. 106–109.

    Google Scholar 

  12. Nayfeh, A.H., Perturbation Methods, New York, John Wiley&Sons, 1973.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Sciences, ul. Akademika Koroleva 1, Perm, 614013, Russia

    D. V. Knyazev

  2. Ustinov Baltic State Technical University “Voenmekh”, ul. 1-ya Krasnoarmeiskaya 1, St. Petersburg, 190005, Russia

    V. N. Razhikov & K. N. Shcheglov

Authors
  1. D. V. Knyazev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. N. Razhikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. K. N. Shcheglov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. N. Razhikov.

Additional information

Original Russian Text © D.V. Knyazev, V.N. Razhikov, K.N. Shcheglov, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii, Aviatsionnaya Tekhnika, 2018, No. 3, pp. 4–8.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Knyazev, D.V., Razhikov, V.N. & Shcheglov, K.N. Analysis of a Lubrication Fluid Flow in the Leak-Proof Pump Electric Motor. Russ. Aeronaut. 61, 319–324 (2018). https://doi.org/10.3103/S1068799818030017

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068799818030017

Keywords

Search

Navigation