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Conditions for the Absence and Occurrence of Filtration Convection in a Compressible Gas

  • Heat and mass transfer in dispersed and porous media
  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Conditions for the absence and occurrence of filtration convection in a compressible gas have been investigated. Numerical experiments have been carried out for a horizontal porous layer saturated with perfect gas and Van der Waals gas. Analytical expressions for thermomechanical fields of this layer at its mechanical equilibrium have been given. Based on a comparative analysis of results obtained for the indicated gases, their general regularities have been revealed for the compressibility of the considered layer and the temperature difference in it.

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References

  1. V. I. Polezhaev, Methods of modeling of convective wave processes and of heat transfer in near-critical media (a review), Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 1, 3–20 (2011).

  2. V. I. Polezhaev, Modeling of convective wave processes and of heat transfer in near-supercritical media (a review), Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 9–32 (2011).

  3. K. Schwarzschild, Uber das Gleichgewicht der Sonnenatmosphäre, Gott. Nach., 41, 1–24 (1906).

    Google Scholar 

  4. L. D. Landau and E. M. Lifshits, Theoretical Physics, Vol. 6, Hydrodynamics [in Russian], Nauka, Moscow (1986).

  5. H. Jeffreys, The stability of a compressible fluid heated from bellow, Proc. Cambridge Philos. Soc., 26, No. 2, 170–172 (1930).

    Article  MATH  Google Scholar 

  6. A. A. Gorbunov, S. A. Nikitin, and V. I. Polezhaev, On conditions for the occurrence of Rayleigh–Bénard convection and heat transfer in a near-critical medium, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 5, 31–45 (2007).

  7. M. M. Ramazanov, Convection of a perfect gas in a porous medium between two coaxial horizontal cylinders of a large length, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 84–96 (2010).

  8. M. M. Ramazanov, Analytical investigation of the stationary convection of the near-critical Van der Waals gas in a porous thin annular cylinder in a heat-conducting space, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 64–77 (2012).

  9. M. M. Ramazanov, Filtration convection of a near-critical Van der Waals gas at significant temperature differences, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 128–139 (2013).

  10. V. I. Polezhaev and E. B. Soboleva, Thermal gravitational convection of the near-critical liquid in a closed region with lateral heating, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 3, 143–154 (2001).

  11. E. B. Soboleva, Strong-compressibility effects in natural-convection flows in porous media with a near-critical liquid, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 2, 57–69 (2008).

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Authors and Affiliations

  1. Institute of Problems of Geothermics, Dagestan Scientifi c Center of the Russian Academy of Sciences, 39a I. Shamil′ Ave, Makhachkala, 367030, Russia

    M. M. Ramazanov

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  1. M. M. Ramazanov
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Correspondence to M. M. Ramazanov.

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Translated from Inzhenerno-Fizicheskii Zhurnal Vol. 87 No. 3 pp. 524–530 May–June 2014

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Ramazanov, M.M. Conditions for the Absence and Occurrence of Filtration Convection in a Compressible Gas. J Eng Phys Thermophy 87, 541–547 (2014). https://doi.org/10.1007/s10891-014-1043-z

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  • DOI: https://doi.org/10.1007/s10891-014-1043-z

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