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Anisotropic effect of natural convection on the temperature field in an enclosure in the presence of stable temperature stratification

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Abstract

Unsteady natural convection in a vertical cylindrical enclosure is numerically modeled in the case of heat input from above and from the side. The anisotropic effect of intense convection on the temperature field is established. It is shown that in the stratified region the temperature is well described by the time-dependent one-dimensional heat conduction equation with a three-dimensional heat source.

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References

  1. V.I. Polezhaev, A.V. Buné, N.A. Verezub, G.S. Glushko, V.L. Gryaznov, K.G. Dubovik, S.A. Nikitin, A.I. Prostomolotov, A.I. Fedoseev, and S.G. Cherkasov, Mathematical Simulation of Convective Heat and Mass Transfer on the Basis of the Navier–Stokes Equations [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  2. V.I. Polezhaev and S.G. Cherkasov, “Unsteady Thermal Convection in a Cylindrical Vessel from the Side,” Fluid Dynamics 18 (4), 620 (1983).

    Article  MATH  ADS  Google Scholar 

  3. V.I. Polezhaev, “Convective Interaction in a Cylindrical Vessel Partially Filled with Liquid and with Heat Supplied to the Side Surface, Free Surface, and Bottom,” Fluid Dynamics 7 (4), 606 (1972).

    Article  MathSciNet  ADS  Google Scholar 

  4. S.G. Cherkasov, “Natural Convection and Temperature Stratification in a Cryogenic Fuel Tank in Microgravity,” Fluid Dynamics 29 (5), 710 (1994).

    Article  ADS  Google Scholar 

  5. N.V. Amirkhanyan and S.G. Cherkasov, “Theoretical Analysis and Method of Calculation of Thermal Processes Occurring in a Cryogenic Tank in the Drainless Storage Regime,” Teplofiz. Vys. Temp. 39, 970 (2001).

    Google Scholar 

  6. S.G. Cherkasov, “Natural Convection in a Vertical Vessel with Heat Supplied to its Side and Free Surfaces,” Fluid Dynamics 19 (6), 902 (1984).

    Article  ADS  Google Scholar 

  7. S.G. Cherkasov, “Quasisteady Free Convection Regime in a Vertical Cylindrical Vessel,” Fluid Dynamics 21 (1), 125 (1986).

    Article  ADS  Google Scholar 

  8. L.D. Landau and E.M. Lifshitz, Fluid Mechanics, Pergamon Press, London (1987).

    MATH  Google Scholar 

  9. A.A. Samarskii, The Theory of Difference Schemes, Marcel Decker, New York (2001).

    Book  MATH  Google Scholar 

  10. S.G. Cherkasov, “Modified DifferenceMethod for Calculating Thermal Convection in a Vertical Cylindrical Vessel,” in: Numerical Methods of Continuum Mechanics. Vol. 15. No. 5 [in Russian], Computer Center of the Siberian Branch of the USSR Academy of Sciences, Novosibirsk (1984), p. 144.

    Google Scholar 

  11. A.A. Samarskii and E.S. Nikolaev, Methods of Solving Grid Equations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  12. V.I. Polezhaev and V.L. Gryaznov, “Method of Calculating the Boundary Conditions for the Navier–Stokes Equations in the Vorticity and Stream Function Variables,” Dokl. Akad. Nauk SSSR, 219, 301 (1974).

    ADS  Google Scholar 

  13. M.V. Protopopov and S.G. Cherkasov, “Aspects of the Free-Convection Boundary Layer in a Temperature Stratified Medium,” Fluid Dynamics 28 (1), 19 (1993).

    Article  MATH  ADS  Google Scholar 

  14. S.G. Cherkasov, “Local Self-Similarity Regime for the Free-Convection Boundary Layer in a Temperature Stratified Medium,” Teplofiz. Vys. Temp. 33, 44 (1995).

    Google Scholar 

  15. D.E. Mel’nikov and S.G. Cherkasov, “Theory of the Local Self-Similarity Regime for the Free-ConvectionBoundary Layer near a Vertical Wall,” Fluid Dynamics 32 (6), 890 (1997).

    Google Scholar 

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Correspondence to A. V. Anan’ev.

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Original Russian Text © A.V. Anan’ev, V.V. Mironov, D.A. Moiseeva, S.G. Cherkasov, 2015, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2015, Vol. 50, No. 5, pp. 96–106.

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Anan’ev, A.V., Mironov, V.V., Moiseeva, D.A. et al. Anisotropic effect of natural convection on the temperature field in an enclosure in the presence of stable temperature stratification. Fluid Dyn 50, 681–690 (2015). https://doi.org/10.1134/S0015462815050105

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