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Oscillations of physical pendulum with a cavity of elliptic shape filled with viscous liquid

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Thermophysics and Aeromechanics Aims and scope

Abstract

The plane oscillations of the elliptic cavity filled with a viscous incompressible liquid have been investigated numerically. Characteristic decay time depending on the values of system parameters has been determined, the values of parameters at which this time is minimum have been found. Flow patterns of liquid in the cavity are presented.

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References

  1. N.E. Zhukovsky, On the motion of a solid body having the cavities filled with a homogeneous droplet liquid, in: Selected Works, Vol. 1. Gostekhizdat, Moscow, Leningrad, 1948, P. 31–152.

    Google Scholar 

  2. F.L. Chernous’ko, Motion of a rigid body with cavities filled with viscous fluid at small Reynolds number, USSR Comp. Math. Math. Phys., 1965, Vol. 5, No. 6, P. 99–127.

    Article  Google Scholar 

  3. F.L. Chernous’ko, The motion of a body with a cavity partly filled with a viscous liquid, J. Appl. Math. Mech., 1966, Vol. 30, No. 6, P. 1167–1184.

    Article  Google Scholar 

  4. I.B. Bogoryad and N.P. Lavrova, Numerical modeling of the rotation of a solid body with a liquid-filled cavity having radial ribs, J. Appl. Mech. Tech. Phys., 2007, Vol. 48, No. 2, P. 260–264.

    Article  ADS  Google Scholar 

  5. I.B. Bogoryad and N.P. Lavrova, Numerical model of liquid flow in a rotating cylinder with radially arranged elastic ribs, J. Appl. Mech. Tech. Phys., 2013, Vol. 54, No. 2, P. 218–223.

    Article  ADS  Google Scholar 

  6. A.Yu. Botalov and P.T. Zubkov, Oscillations of a pendulum with a cavity containing a viscous incompressible liquid, Thermal Processes in Engineering, 2012, Vol. 4, No. 10, P. 449–454.

    MATH  Google Scholar 

  7. S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere Publ. Corp., New York, 1980.

    MATH  Google Scholar 

  8. P.T. Zubkov, E.M. Sviridov, and A.A. Gubaidullin, Thermoacoustic waves arising under conditions of heating a perfect viscous gas, High Temperature, 2004, Vol. 42, No. 5, P. 756–762.

    Article  Google Scholar 

  9. P.I. Kudinov, Numerical Modelling of Fluid Dynamics and Heat Exchange in Problems with Convective Instability and Non-unique Solution: PhD thesis, Dnepropetrovsk, 1999.

    MATH  Google Scholar 

  10. E. Hairer, S.P. Nørsett, and G. Wanner, Solving Ordinary Differential Equations. I: Nonstiff Problems, Springer, Berlin, 1987.

    Book  MATH  Google Scholar 

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Authors and Affiliations

  1. Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Tyumen, Russia

    A.Yu. Botalov

  2. Tyumen State University, Tyumen, Russia

    A.Yu. Botalov

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  1. A.Yu. Botalov
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Correspondence to A.Yu. Botalov.

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Botalov, A. Oscillations of physical pendulum with a cavity of elliptic shape filled with viscous liquid. Thermophys. Aeromech. 22, 339–344 (2015). https://doi.org/10.1134/S0869864315030087

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  • DOI: https://doi.org/10.1134/S0869864315030087

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