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Modeling the motion of a vapor bubble in a tube in an ascending flow

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Abstract

The steady rise of a vapor bubble in a liquid moving in a vertical tube is modeled by means of the Navier-Stokes equations. The shape of the vapor bubble (drop) and the structure of the flow are determined by numerically solving the equations inside and outside the drop. The calculations are made on the interval of intermediate values of the dimensionless parameters and describe the transition to piston-type motion. The solutions obtained are compared with the existing experimental and approximate data for creeping flows.

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References

  1. G. K. Batchelor,Introduction to Fluid Dynamics, Cambridge University Press (1967).

  2. V. Ya. Rivkind, “Steady-state motion of a viscous drop with allowance for deformation,”Zap. Nauch. Seminara Leningr. Otd. Mat. Inst. Akad. Nauk SSSR,84, 220 (1979).

    MATH  MathSciNet  Google Scholar 

  3. P. K. Volkov, “The steady rise of a drop in a viscous liquid,”Zh. Prikl. Mekh. Tekh. Fiz., No. 1, 78 (1992).

  4. P. K. Volkov, “Modeling the motion of a bubble in a “submerged” channel,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 138 (1991).

    Google Scholar 

  5. P. K. Volkov, “The rise of a bubble in an ascending liquid flow in a vertical tube,”Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 35 (1991).

    Google Scholar 

  6. P. K. Volkov, “Rise of a gas bubble in a tube full of viscous liquid,”Zh. Prikl. Mekh. Tekh. Fiz., No. 6, 98 (1989).

    Google Scholar 

  7. P. K. Volkov, “Rise of liquid drops in vertical tubes containing another liquid,” in:Modeling in Mechanics, Vol. 4, No. 5 [in Russian], Novosibirsk (1990), p. 48.

    Google Scholar 

  8. M. J. Martinez and K. S. Udell, “Axisymmetric creeping motion of drops through circular tubes,”J. Fluid Mech.,210, 565 (1990).

    ADS  Google Scholar 

  9. B. P. Ho and L. C. Leal, “The creeping motion of liquid drops through a circular tube of comparable diameter,”J. Fluid Mech.,71, 361 (1985).

    ADS  Google Scholar 

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Novosibirsk. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, pp. 76–86, July–August, 1994.

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Volkov, P.K. Modeling the motion of a vapor bubble in a tube in an ascending flow. Fluid Dyn 29, 500–507 (1994). https://doi.org/10.1007/BF02319071

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  • DOI: https://doi.org/10.1007/BF02319071

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