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Motion of a viscous fluid and a wall in the presence of a stationary wall

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The problem of damping motion of a hydromechanical system consisting of a viscous fluid and its bounding rigid walls is solved. A condition under which there is an abrupt deceleration of the hydromechanical system is determined.

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References

  1. V. L. Sennitskii, “Motion of a Pulsating Rigid Body in an Oscillating Viscous Fluid,” Prikl. Mekh. Tekh. Fiz. 42 (1), 82–86 (2001) [J. Appl. Mech. Tech. Phys. Mech. Tech. Phys. 42 (1), 72–76] (2001)].

    Google Scholar 

  2. V. L. Sennitskii, “Behavior of a Pulsating Rigid Body in a Viscous Fluid in the Presence of Gravity,” Prikl. Mekh. Tekh. Fiz. 42, (5), 93–97 (2001) [J. Appl. Mech. Tech. Phys. 42, (5), 814–817 (2001)].

    Google Scholar 

  3. O. S. Pyatigorskaya and V. L. Sennitskii, “Example of Motion of a Cylindrical Solid in a Viscous Liquid,” Prikl. Mekh. Tekh. Fiz. 54 (2), 81–87 (2013) [J. Appl. Mech. Tech. Phys. 54 (2), 237–242 (2013)].

    MathSciNet  Google Scholar 

  4. N. A. Slezkin, Dynamics of a Viscous Incompressible Fluid, (Gostehteoretizdat, Moscow, 1955) [in Russian].

    Google Scholar 

  5. E. M. Zhmulin, “Motion of a Viscous Fluid between Two Parallel Moving and Harmonically Oscillating Plates,” Uchen. Zap. Tsentr. Aerogidrodin. Inst. 3 (2), 51–59 (1972).

    Google Scholar 

  6. C.-Y. Wang, “The Squeezing of a Fluid between Two Plates,” Trans. ASME, J. Appl. Mech. 43 (4), 579–583 (1976).

    Article  ADS  MATH  Google Scholar 

  7. T. W. Secomb, “Flow in a Channel with Pulsating Walls,” J. Fluid Mech. 88 (2), 273–288 (1978).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  8. S. V. Manuilovich, “Sensitivity of Plane Poiseuille Flow to the Vibration of Duct Walls,” Izv. Ross. Akad. Nauk., Mekh. Zhidk. Gaza 4, 12–19 (1992).

    ADS  Google Scholar 

  9. A. A. Gurchenkov, “Unsteady Motion of a Viscous Liquid between Rotating Parallel Walls in the Presence of a Crossflow,” Prikl. Mekh. Tekh. Fiz. 42 (4), 48–51 (2001) [J. Appl. Mech. Tech. Phys. 42 (4), 603–606 (2001)].

    MathSciNet  MATH  Google Scholar 

  10. S. N. Aristov and D. V. Knyazev, “Viscous Fluid Flows between Stationary Parallel Planes,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 4, 55–61 (2012).

    MathSciNet  MATH  Google Scholar 

  11. A. G. Petrov, “Exact Solution of the Navier–Stokes Equations in a Fluid Layer between Moving Parallel Plates,” Prikl. Mekh. Tekh. Fiz. 53 (5), 13–18 (2012) [J. Appl. Mech. Tech. Phys. 53 (5), 642–646 (2012)].

    MATH  Google Scholar 

  12. A. G. Petrov, “Exact and Asymptotic Solutions of the Navier–Stokes Equations for a Fluid Layer between Approaching and Receding Plates,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 44–57 (2014).

    Google Scholar 

  13. A. G. Sveshnikov and A. N. Tikhonov, Theory of Functions of a Complex Variable (Nauka, Moscow, 1967) [in Russian].

    MATH  Google Scholar 

  14. B. K. Pchelin, Special Branches of Higher Mathematics (Vysshaya Shkola, Moscow, 1973) [in Russian].

    Google Scholar 

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Authors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    V. L. Sennitskii

  2. Novosibirsk State University, Novosibirsk, 630090, Russia

    V. L. Sennitskii

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  1. V. L. Sennitskii
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Correspondence to V. L. Sennitskii.

Additional information

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 57, No. 2, pp. 76–82, March–April, 2016.

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Sennitskii, V.L. Motion of a viscous fluid and a wall in the presence of a stationary wall. J Appl Mech Tech Phy 57, 258–263 (2016). https://doi.org/10.1134/S0021894416020085

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  • DOI: https://doi.org/10.1134/S0021894416020085

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