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Gas flow through a porous heat-releasing medium with allowance for the temperature dependence of gas viscosity

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Abstract

The gas flow through a porous heat-releasing medium is considered. It has been noted that account for the temperature dependence of the gas viscosity strongly influences the solution: the gas flow rate markedly decreases and a stronger heating occurs. Analysis of the flow of a gas with a temperature-dependent viscosity by the Sutherland formula has revealed two steady-state cooling regimes — stable and unstable ones. It has been shown that the possibility of the steady-state regime is determined not only by the problem parameters but by the initial conditions as well. The transient process from the state of rest in the absence of heat release to the state of the regime of induced filtration upon instantaneous switching-on of heat input is described.

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Authors and Affiliations

  1. Institute of Automatics and Control Processes, Far-East Branch of the Russian Academy of Sciences, 5 Radio Str., Vladivostok, 690041, Russia

    V. A. Levin & N. A. Lutsenko

Authors
  1. V. A. Levin
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  2. N. A. Lutsenko
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 79, No. 1, pp. 35–40, January–February, 2006.

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Levin, V.A., Lutsenko, N.A. Gas flow through a porous heat-releasing medium with allowance for the temperature dependence of gas viscosity. J Eng Phys Thermophys 79, 33–39 (2006). https://doi.org/10.1007/s10891-006-0063-8

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  • DOI: https://doi.org/10.1007/s10891-006-0063-8

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