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Axisymmetric convective boundary layer in a vibrating fluid

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Abstract

A vibrating convective flow around a uniformly heated sphere in weightlessness conditions is studied theoretically for circularly polarized vibrations. It is found that the fluid motion has the form of two jets spreading from the sphere in opposite directions along the symmetry axis, perpendicular to the vibration polarization plane. For large characteristic temperature gradients, the flow becomes self-similar. The equations describing thermovibrational convection in the boundary layer approximation are derived. A class of self-similar solutions for a point heat source is found. The results obtained on the basis of the full equations and in the boundary layer approximation are compared.

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References

  1. G.Z. Gershuni and E.M. Zhukhovitskii, “Free Thermal Convection in a Vibrational Field under Weightlessness Conditions,” Dokl. Akad. Nauk USSR 249(3), 580–584 (1979).

    ADS  Google Scholar 

  2. S.M. Zen’kovskaya and I.B. Simonenko, “Effect of High Frequency Vibration on Convection Initiation,” Fluid Dynamics 1(5), 35–37 (1966).

    Article  ADS  Google Scholar 

  3. V.G. Kozlov, “Vibrational Convection in a Cavity Performing Spatial Pendulum Oscillation,” in: Convective Flows [in Russian] (Izd. Perm’ University, Perm’, 1989), pp. 19–27.

    Google Scholar 

  4. G.Z. Gershuni and E.M. Zhukhovitskii, “Vibrational Thermal Convection under Weightlessness,” in Hydromechanics and Transport Processes under Weightlessness [in Russian] (UNTs AS USSR, Sverdlovsk, 1983), pp. 86–105.

    Google Scholar 

  5. R.R. Siraev, “Vibrational Thermal Convection about a Uniformly Heated Cylinder,” Fluid Dynamics 24(3), 345–348 (1989).

    Article  ADS  Google Scholar 

  6. G.Z. Gershuni, E.M. Zhukhovitskii, and R.R. Siraev, “A Convective Boundary Layer in Vibrating Fluids at Zero Gravity,” Stabil. Anal. Contin. Media 1(4), 349–371 (1991).

    Google Scholar 

  7. R.R. Siraev, “Vibrational Thermal Convection about a Uniformly Heated Sphere,” Dep. VINITI 22.03.89, No. 1836-B89 (Perm’ Gos. Ped. Univ., Perm’, 1989).

    Google Scholar 

  8. T.H. Kuehn and R.J. Goldstein, “Numerical Solution to the Navier-Stokes Equations for Laminar Convection about a Horizontal Isothermal Circular Cylinder” Int. J. Heat Mass Transfer 23, 971–979 (1980).

    Article  MATH  ADS  Google Scholar 

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Authors
  1. R. R. Siraev
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Original Russian Text © R.R. Siraev, 2010, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2010, Vol. 45, No. 5, pp. 91–101.

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Siraev, R.R. Axisymmetric convective boundary layer in a vibrating fluid. Fluid Dyn 45, 759–768 (2010). https://doi.org/10.1134/S001546281005008X

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  • DOI: https://doi.org/10.1134/S001546281005008X

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